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HomeMy WebLinkAboutBethel Model--40Temp 06Feb2012BETHEL MODEL SUMMARY FOR AVERAGE ANNUAL AMBIENT TEMP = Note: 1 gpm heated 1 ºF = Summary Water & Sewer - 35 degrees Total Energy Requirement Note: 1 gpm heated 1 ºF = Summary Water & Sewer - 40 degrees Total Energy Requirement Note: 1 gpm heated 1 ºF = Summary Water & Sewer - 45 degrees Total Energy Requirement Note: 1 gpm heated 1 ºF = Summary Water & Sewer - 50 degrees Total Energy Requirement Note: 1 gpm heated 1 ºF = Summary Water & Sewer - 55 degrees Total Energy Requirement Note: 1 gpm heated 1 ºF = Summary Water & Sewer - 60 degrees Total Energy Requirement 500.5 Assumed Fuel is Fuel Oil No. 1 @ 500.5 Assumed Fuel is Fuel Oil No. 1 @ 500.5 Assumed Fuel is Fuel Oil No. 1 @ 500.5 Assumed Fuel is Fuel Oil No. 1 @ 500.5 Assumed Fuel is Fuel Oil No. 1 @ 500.5 Assumed Fuel is Fuel Oil No. 1 @ RANGE OF VALUES Water System Net Operating Energy There is a range of 8 times over an operating temperature range of 35 degrees to 60 degrees Operating Energy Values listed are Net Energy requirements, reflecting energy received. Costs listed are based on an overall energy efficiency factor of 65% (Systems inefficiencies of 35%) BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating BETHEL - 35 DEGREES - AMBIENT TEMP 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 BETHEL - 40 DEGREES - AMBIENT TEMP 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 BETHEL - 45 DEGREES - AMBIENT TEMP 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 BETHEL - 50 DEGREES - AMBIENT TEMP 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 BETHEL - 55 DEGREES - AMBIENT TEMP 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 BETHEL - 60 DEGREES - AMBIENT TEMP 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW 1 kWh = BTU/gal 1 kWh = BTU/gal 1 kWh = BTU/gal 1 kWh = BTU/gal 1 kWh = BTU/gal 1 kWh = BTU/gal 3412 = Total Energy Estimate 3412 = Total Energy Estimate 3412 = Total Energy Estimate 3412 = Total Energy Estimate 3412 = Total Energy Estimate 3412 = Total Energy Estimate 748503.274639876 138976.315885479 40.7316283368931 87.7495046471133 413.47934126912 219.373761617783 -40 BTU 39.5662368112544 BTU 39.5662368112544 BTU 39.5662368112544 BTU 39.5662368112544 BTU 39.5662368112544 BTU 39.5662368112544 - - - - - - DEG F kWh/gal kWh/gal kWh/gal kWh/gal kWh/gal kWh/gal 2038905.35316831 378568.222776106 110.951999641297 239.027591227235 1126.30802148959 597.568978068087 -40 0.65 -40 34 36816.9360723859 44926.8263888889 137608.064 18046.4707257763 454432.241936795 56672.7355160305 11666.0328955536 55000 815169.30753543 -40 0.65 -40 34 36816.9360723859 269560.958333333 140548.6016 18046.4707257763 484937.988098038 56672.7355160305 11666.0328955536 55000 1073249.72324112 -40 0.65 -40 34 36816.9360723859 494195.090277778 143489.1392 18046.4707257763 515443.734259281 56672.7355160305 11666.0328955536 55000 1331330.1389468 -40 0.65 -40 34 36816.9360723859 718829.222222222 146429.6768 18046.4707257763 545949.480420524 56672.7355160305 11666.0328955536 55000 1589410.55465249 -40 0.65 -40 34 36816.9360723859 943463.354166667 149370.2144 18046.4707257763 576455.226581766 56672.7355160305 11666.0328955536 55000 1847490.97035818 -40 0.65 -40 34 36816.9360723859 1168097.48611111 152310.752 18046.4707257763 606960.972743009 56672.7355160305 11666.0328955536 55000 2105571.38606387 F BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h F BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h F BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h F BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h F BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h F BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h RANGE OF COSTS Water System Operating Energy Cost Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 4.51647721915557 5.51134911159989 16.8809182004217 2.21383098688268 55.7469764545869 6.95226562042355 1.43111777979282 6.74706462713692 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 2.63090212213743 60.8683303004754 4.40340157625555 3.97996877772809 10.7581630275406 9.38135497607336 4.36422716067566 3.61365205911384 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 2.76542496825853 37.1204013054739 10.7778780786494 1.35552183473083 38.7164474971655 4.2568506381793 0.876268969977829 4.13120670756464 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 2.31638930323044 45.226151299806 9.21282901836621 1.13541908180684 34.3491792490261 3.56564484551453 0.733984863848108 3.46040233840181 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 1.99280736215171 51.0672782332329 8.08503082269685 0.976809684881846 31.2020592160192 3.06755142110617 0.631452769335691 2.9770104905756 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 1.74854846129017 55.4765083645414 7.23370164545825 0.857081875505165 28.8264257749843 2.6915608699439 0.554055444178595 2.61211756409819 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr 748503.274639876 138976.315885479 40.7316283368931 87.7495046471133 413.47934126912 219.373761617783 1006583.69034556 186894.697263605 54.7757025977739 118.005121963138 556.045077313214 295.012804907844 1264664.10605125 234813.07864173 68.8197768586548 148.260739279162 698.610813357308 370.651848197905 1522744.52175694 282731.460019856 82.8638511195356 178.516356595186 841.176549401401 446.290891487966 1780824.93746263 330649.841397981 96.9079253804164 208.77197391121 983.742285445494 521.929934778026 2038905.35316831 378568.222776106 110.951999641297 239.027591227235 1126.30802148959 597.568978068087 1293.6197 39455.3994 473464.7931 A near perfect system might be as high as 80%. - - - Operating Efficiency Factor (for cost calcs) = 2596.9607 79207.3011 950487.613 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Energy Cost per Service $/d $/mo $/yr 1293.6197 39455.3994 473464.7931 1209.3226 36884.3399 442612.0789 1556.2321 47465.0802 569580.9624 1903.1417 58045.8205 696549.8459 2250.0512 68626.5608 823518.7295 2596.9607 79207.3011 950487.613 3.3864 103.2864 1239.4366 cost per service 382 382 382 cost per service 382 382 382 cost per service 382 382 382 cost per service 382 382 382 cost per service 382 382 382 cost per service 382 382 382 - - - 0.65 3.3864 103.2864 1239.4366 3.1658 96.5559 1158.6704 4.0739 124.2541 1491.0496 4.982 151.9524 1823.4289 5.8902 179.6507 2155.8082 6.7983 207.349 2488.1875 6.7983 207.349 2488.1875 Existing Service Area Population = Average Service-AKIAK , ft = Average Service-BETHEL HTS , ft = Raw Water flow, gal/pers/day Treated water flow, gal/pers/day Description Raw Water Pumping Raw Water Pipeline Heating all raw water produced Tank 1 Heat Losses Tank 2 Heat Losses WTP Building 1 WTP Building 2 Initial Pressurization AKIAK SERVICE AREA Loop A Loop A Services (43) Loop A Pumping Loop B Loop B Services (72) Central Loop Pumping Loop C Loop C Services (41) Loop C Pumping BETHEL HEIGHTS SERVICE AREA Loop 1 Loop 1 Services (113) Loop 1 Pumping Loop 2 Loop 2 Services (113) Loop2 Pumping Note: 1 gpm heated 1 ºF = Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Initial Pressurization Raw Water Pumping-1 Loop A Pumping Loop B Pumping Loop C Pumping Loop 1 Pumping Loop 2 Pumping Existing Service Area Population = Average Service , ft = Sewage flow, gal/pers/day Number of sewer connections Sewage flow, cal/conn/day Heating Sewage Pump Stations Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Pump Station No. 1 No. 2 No. 3 No. 4 No. 5 No. 6 No. 7 Additional energy for Vacuum systems Assumptions Leaking Vacuum Valve Summary Water & Sewer - 35 degrees Total Energy Requirement Water System Energy Use Calculations for 1800 75 20 71.8111111111111 68.3915343915344 Length ft 3.97687458159024 3000 24' water depth 24' water depth 10,000 sf surface area 7,000 sf surface area 5.28911803217359 6000 3225 2.97455730788152 9000 5400 4.01678260276517 5000 3075 2.62714887625364 8000 2260 3.66937417113729 7000 2260 3.32196573950941 500.5 Assumed Fuel is Fuel Oil No. 1 @ Pipe IDia inches - 4 5.47 5.47 5.47 5.47 5.47 Sewer System Energy Use Calculations for 1800 50 61.552380952381 382 290.037397157816 1000 Number of Catchments 7 3 2 1 3 2 1 Note: 1 BTU = 1 kJ (close enough; 1.005) I.D. inch kW 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW BETHEL BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Pipe Area sq. ft. - 0.111111111111111 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 ft2/PS Pipe IDia inches 6 4 4 4 4 4 4 Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating (use WTP bldg value) O.D. inch 12 14 12 14 12 14 12 13 11 13 11 35 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 Pipe Length feet - 3000 6000 9000 5000 8000 7000 ASSUME EQUAL CATCHMENT FOR EACH PS Pipe Area sq. ft. 0.25 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 3 0.0013 1 10 0.0013 1 Raw water flow Raw water flow Treated water flow Treated water flow Insulation T, inch 4 5 5 5 5 4 4 4 4 4 4 3.5 3.5 3.5 3.5 DEGREES - AMBIENT TEMP 1 kWh = BTU/gal Avg Flow gpm - 89.7638888888889 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 Insulation T, inch 5 Pipe Length feet 5000 500 1000 1000 1000 1500 1000 (normal minimum) kJ/kg-deg C (leaking) kJ/kg-deg C 129260 89.7638888888889 123104.761904762 85.489417989418 Insulation R ft2-hr-F per BTU-inch 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 3412 = Peak Factor - 1 11 11 11 11 11 Sewage as fraction of water flow Sewage flow Avg. sewage flow Sewage flow per catchment Insulation R ft2-hr-F per BTU-inch 4 Avg Flow gpm 76.9404761904762 32.9744897959184 21.9829931972789 10.9914965986395 32.9744897959184 21.9829931972789 10.9914965986395 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Total Energy Estimate gal/day gal/min gal/day gal/min Insulation Effective R 30 25 25 20 20 30 30 30 30 30 30 26.25 26.25 26.25 26.25 BTU 39.5662368112544 Peak Flow gpm 85.489417989418 89.7638888888889 188.07671957672 188.07671957672 188.07671957672 188.07671957672 188.07671957672 BETHEL, ALASKA 0.9 110794.285714286 76.9404761904762 10.9914965986395 Insulation Effective R 20 Peak Factor 4 4 6 8 4 6 8 11666.0328955536 2527.06886179406 0.740641518696968 1.39044159169357 6.55181901845136 3.41911866809893 Insulation Effective k (1/R) BTU per ft2-hr-F 3.33333333333333E-02 0.04 0.04 0.05 0.05 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 kWh/gal Peak Flow cfs 0.190230124587045 0.199741630816397 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 gal/day gal/min gal/min Insulation Effective k (1/R) BTU per ft2-hr-F 0.05 Peak Flow gpm 307.761904761905 131.897959183673 131.897959183673 87.9319727891156 131.897959183673 131.897959183673 87.9319727891156 Air Flow = Air Temp= Sewage Temp= Air Flow = Air Temp= Sewage Temp= BETHEL, ALASKA Water Temp °F 34 35 35 70 70 34.4830563289327 34.1933337116142 34.4830563289327 34.0484724029549 34.4830563289327 34.2416208145006 34.4830563289327 34.0731086799378 34.4830563289327 34.1243521360621 -40 Peak Flow cms 5.39705921650366E-03 5.66691217732884E-03 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 Inside Temp °F 50 Peak Flow cfs 0.684828448513362 0.293497906505726 0.293497906505726 0.195665271003818 0.293497906505726 0.293497906505726 0.195665271003818 332382.857142857 -40 40 1107942.85714286 -40 40 0.65 -40 34 36816.9360723859 44926.8263888889 137608.064 18046.4707257763 454432.241936795 56672.7355160305 11666.0328955536 55000 815169.30753543 External Temp °F AMBIENT -40 DEG F -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 F H-W C value - 125 125 125 125 125 125 External Temp °F -40 Peak Flow cms 1.94294131794132E-02 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 Note: Vacuum sewers reported to use 10-30 kWh/pers/yr for the vacuum pumps This calculation shows around 20 kWh/person/yr for the collection pumps - excluding pumping to treatment CONCLUSION: EXCLUDING HEATING, ENERGY COST FOR VACUUM SYSTEM AND FOR GRAVITY + PUMPING SYSTEM ARE SIMILAR gpd = deg C deg C gpd = deg C deg C BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h Raw Water Temperature: Running Temperature: System type: Pipeline Area ft2 9424.8 7351.344 7351.344 10000 7000 21991.2 10131.66 32986.8 16964.64 18326 9660.42 27227.2 6508.348 23823.8 6508.348 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Peak Flow Velocity fps - 1.79767467734757 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 Raw Water Temperature: Running Temperature: System type: Surface Area ft2 7000 H-W C value 100 100 100 100 100 100 100 1636.07907272727 5453.59690909091 Percent of Total 4.51647721915557 5.51134911159989 16.8809182004217 2.21383098688268 55.7469764545869 6.95226562042355 1.43111777979282 6.74706462713692 34 35 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 23247.84 44926.8263888889 22054.032 22054.032 55000 38500 18046.4707257763 54599.0596113608 25056.7210477538 10149.1895344918 81898.5894170413 41873.5225622021 13705.2622406348 45499.2163428007 23906.8412849606 8963.83196577742 77255.8122392045 18365.469284985 12519.9046719204 67598.8357093039 18378.1744371823 11334.5471032061 748503.274639876 138976.315885479 40.7316283368931 87.7495046471133 413.47934126912 219.373761617783 Peak Velocity Head ft - 2.03554689189765E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 34 50 Gravity buried service conn and buried gravity sewers. 2 catchments. services heat traced for emergency thawing 7 4-3-2-1 Heat Loss BTU/hr 31500 Peak Flow Velocity fps 2.73931379405345 2.64148115855154 2.64148115855154 1.76098743903436 2.64148115855154 2.64148115855154 1.76098743903436 kg/d kg/d deg. F deg. F Flow Rate gpm 89.7638888888889 89.7638888888889 89.7638888888889 85.489417989418 188.07671957672 43 188.07671957672 72 188.07671957672 41 188.07671957672 113 188.07671957672 113 Peak Friction Head psi - 8.83534022330511 15.2155429647055 22.8233144470583 12.6796191372546 20.2873906196074 17.7514667921565 deg. F deg. F pump stations pumping in series in 2 lines: Heat Loss BTU/d 756000 Peak Velocity Head ft 2.39280614231234E-02 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 Temp Drop °F Efficiency Adusted Fuel Cost $/gal 0.516943671067273 0.579445234637119 1.16310268058087 0.869167851955678 1.16083174102357 0.482871028864266 1.16385966043331 0.819895297989937 0.3244037462241 0.717408385741195 0.324628167332279 Peak Friction Head ft - 20.4096359158348 35.1479042484698 52.7218563727047 29.2899202070582 46.8638723312931 41.0058882898814 7-6-5-1 Fuel Cost $/gal 9.23076923076923 Peak Friction Head psi 30.4279271627369 4.53479774088693 9.06959548177387 4.28370039164247 9.06959548177387 13.6043932226608 4.28370039164247 Heat needed = This adds Heat needed = This adds Vacuum pumping energy would also triple Fuel Cost $/gal 6 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 9.23076923076923 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Average Static Head ft 15 15 15 15 15 15 Energy Cost $/d 51.6923 Peak Friction Head ft 70.2885117459223 10.4753827814488 20.9507655628976 9.89534790469412 20.9507655628976 31.4261483443464 9.89534790469412 Energy Cost, $/day Energy Cost, $/day-conn Energy Cost, Percent of Water System cost 130886.325818182 38.8933738143451 436287.752727273 129.64457938115 Energy Cost $/d 22.2672 48.0438 92.8453 45.5766 45.5766 113.6625 79.5637 29.6147 89.5985 41.1187 16.6551 134.3977 68.7155 22.4907 74.6654 39.2317 14.7099 126.7788 30.1382 20.5455 110.9314 30.1591 18.6003 1293.6197 39455.3994 473464.7931 Total Head m 60 10.8288891333018 15.3379617776486 20.7120763372397 13.546590257785 18.920704817376 17.1293332975123 PS 1 pumps to treatment/disposal Energy Cost $/mo-svc 4.1273 Average Static Head ft 20 15 15 15 15 15 15 19.1443 0.0501 1.47989859792653 BTU/d percent to the sewage collection energy BTU/d percent to the sewage collection energy Heat/Power Production Efficiency = No. of Services 382 382 382 382 382 382 382 382 382 43 43 43 72 72 72 41 41 41 113 113 113 113 113 113 cost per service 382 382 382 Peak Pumping Power kW 3.17347081930415 0.601390364225231 1.78473438472891 2.4100695616591 1.57628932575218 2.20162450268237 1.99317944370564 Heat/Power Production Efficiency = Percent Water System Cost 3.99594328698091E-02 Total Head m 27.6175440930862 7.79171603029457 10.9950880848616 7.61359471180103 10.9950880848616 14.1984601394287 7.61359471180103 percent 0.65 Energy Cost $/mo-svc 1.7779 3.836 7.413 3.639 3.639 9.0751 6.3526 2.3645 63.5524 29.1656 11.8135 56.9324 29.1087 9.5273 55.5438 29.1846 10.9427 34.219 8.1346 5.5455 29.9417 8.1403 5.0204 3.3864 103.2864 1239.4366 Pumping Efficiency 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.75 Peak Pumping Power kW 5.2586082168153 0.635831574542851 0.897238059248241 0.414197496821297 0.897238059248241 1.15864454395363 0.414197496821297 Percent of Total 1.72131232891586E-02 3.71390126005356E-02 7.17717418632879E-02 3.52318741156432E-02 3.52318741156432E-02 8.78638915714086E-02 0.061504724099986 2.28929122382106E-02 6.92618240411073E-02 3.17857892903254E-02 1.28747891392537E-02 0.103892736061661 5.31188004395795E-02 1.73858573481833E-02 5.77181867009227E-02 3.03271053795417E-02 1.13710997362772E-02 9.80031251738116E-02 2.32975789528857E-02 1.58821679452068E-02 8.57527345270852E-02 2.33136961172136E-02 1.43784785422303E-02 Minimum Pump Motor kW 5.28911803217359 1.00231727370872 2.97455730788152 4.01678260276517 2.62714887625364 3.66937417113729 3.32196573950941 Pumping Efficiency 0.65 0.65 0.6 0.5 0.6 0.6 0.5 Pumping Energy kWh/d 126.938832772166 24.0556145690092 6.48994321719605 8.76388931512401 5.73196118455339 8.00590728248136 7.2479252498387 Minimum Pump Motor kW 8.09016648740815 0.978202422373617 1.49539676541373 0.828394993642593 1.49539676541373 1.93107423992272 0.828394993642593 Total kWh/d Total BTU/day Average kW Total kWh/yr/person UNKNOWN Pumping Energy kWh/d 48.5409989244489 5.8692145342417 5.98158706165494 2.48518498092778 8.97238059248241 7.72429695969087 2.48518498092778 82.0588480343744 279984.789493285 3.41911866809893 16.6397108514148 Existing Service Area Population = Average Service-AKIAK , ft = Average Service-BETHEL HTS , ft = Raw Water flow, gal/pers/day Treated water flow, gal/pers/day Description Raw Water Pumping Raw Water Pipeline Heating all raw water produced Tank 1 Heat Losses Tank 2 Heat Losses WTP Building 1 WTP Building 2 Initial Pressurization AKIAK SERVICE AREA Loop A Loop A Services (43) Loop A Pumping Loop B Loop B Services (72) Central Loop Pumping Loop C Loop C Services (41) Loop C Pumping BETHEL HEIGHTS SERVICE AREA Loop 1 Loop 1 Services (113) Loop 1 Pumping Loop 2 Loop 2 Services (113) Loop2 Pumping Note: 1 gpm heated 1 ºF = Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Initial Pressurization Raw Water Pumping-1 Loop A Pumping Loop B Pumping Loop C Pumping Loop 1 Pumping Loop 2 Pumping Existing Service Area Population = Average Service , ft = Sewage flow, gal/pers/day Number of sewer connections Sewage flow, cal/conn/day Heating Sewage Pump Stations Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Pump Station No. 1 No. 2 No. 3 No. 4 No. 5 No. 6 No. 7 Additional energy for Vacuum systems Assumptions Leaking Vacuum Valve Summary Water & Sewer - 35 degrees Total Energy Requirement Water System Energy Use Calculations for 1800 75 20 71.8111111111111 68.3915343915344 Length ft 3.97687458159024 3000 24' water depth 24' water depth 10,000 sf surface area 7,000 sf surface area 5.28911803217359 6000 3225 2.97455730788152 9000 5400 4.01678260276517 5000 3075 2.62714887625364 8000 2260 3.66937417113729 7000 2260 3.32196573950941 500.5 Assumed Fuel is Fuel Oil No. 1 @ Pipe IDia inches - 4 5.47 5.47 5.47 5.47 5.47 Sewer System Energy Use Calculations for 1800 50 61.552380952381 382 290.037397157816 1000 Number of Catchments 7 3 2 1 3 2 1 Note: 1 BTU = 1 kJ (close enough; 1.005) I.D. inch kW 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW BETHEL BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Pipe Area sq. ft. - 0.111111111111111 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 ft2/PS Pipe IDia inches 6 4 4 4 4 4 4 Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating (use WTP bldg value) O.D. inch 12 14 12 14 12 14 12 13 11 13 11 40 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 Pipe Length feet - 3000 6000 9000 5000 8000 7000 ASSUME EQUAL CATCHMENT FOR EACH PS Pipe Area sq. ft. 0.25 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 3 0.0013 1 10 0.0013 1 Raw water flow Raw water flow Treated water flow Treated water flow Insulation T, inch 4 5 5 5 5 4 4 4 4 4 4 3.5 3.5 3.5 3.5 DEGREES - AMBIENT TEMP 1 kWh = BTU/gal Avg Flow gpm - 89.7638888888889 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 Insulation T, inch 5 Pipe Length feet 5000 500 1000 1000 1000 1500 1000 (normal minimum) kJ/kg-deg C (leaking) kJ/kg-deg C 129260 89.7638888888889 123104.761904762 85.489417989418 Insulation R ft2-hr-F per BTU-inch 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 3412 = Peak Factor - 1 11 11 11 11 11 Sewage as fraction of water flow Sewage flow Avg. sewage flow Sewage flow per catchment Insulation R ft2-hr-F per BTU-inch 4 Avg Flow gpm 76.9404761904762 32.9744897959184 21.9829931972789 10.9914965986395 32.9744897959184 21.9829931972789 10.9914965986395 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Total Energy Estimate gal/day gal/min gal/day gal/min Insulation Effective R 30 25 25 20 20 30 30 30 30 30 30 26.25 26.25 26.25 26.25 BTU 39.5662368112544 Peak Flow gpm 85.489417989418 89.7638888888889 188.07671957672 188.07671957672 188.07671957672 188.07671957672 188.07671957672 BETHEL, ALASKA 0.9 110794.285714286 76.9404761904762 10.9914965986395 Insulation Effective R 20 Peak Factor 4 4 6 8 4 6 8 11666.0328955536 2527.06886179406 0.740641518696968 1.39044159169357 6.55181901845136 3.41911866809893 Insulation Effective k (1/R) BTU per ft2-hr-F 3.33333333333333E-02 0.04 0.04 0.05 0.05 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 kWh/gal Peak Flow cfs 0.190230124587045 0.199741630816397 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 gal/day gal/min gal/min Insulation Effective k (1/R) BTU per ft2-hr-F 0.05 Peak Flow gpm 307.761904761905 131.897959183673 131.897959183673 87.9319727891156 131.897959183673 131.897959183673 87.9319727891156 Air Flow = Air Temp= Sewage Temp= Air Flow = Air Temp= Sewage Temp= BETHEL, ALASKA Water Temp °F 34 40 40 70 70 39.4830563289327 39.1738848173556 39.4830563289327 39.0192990615671 39.4830563289327 39.2254134026185 39.4830563289327 39.045589156089 39.4830563289327 39.1002725526944 -40 Peak Flow cms 5.39705921650366E-03 5.66691217732884E-03 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 Inside Temp °F 50 Peak Flow cfs 0.684828448513362 0.293497906505726 0.293497906505726 0.195665271003818 0.293497906505726 0.293497906505726 0.195665271003818 332382.857142857 -40 40 1107942.85714286 -40 40 0.65 -40 34 36816.9360723859 269560.958333333 140548.6016 18046.4707257763 484937.988098038 56672.7355160305 11666.0328955536 55000 1073249.72324112 External Temp °F AMBIENT -40 DEG F -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 F H-W C value - 125 125 125 125 125 125 External Temp °F -40 Peak Flow cms 1.94294131794132E-02 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 Note: Vacuum sewers reported to use 10-30 kWh/pers/yr for the vacuum pumps This calculation shows around 20 kWh/person/yr for the collection pumps - excluding pumping to treatment CONCLUSION: EXCLUDING HEATING, ENERGY COST FOR VACUUM SYSTEM AND FOR GRAVITY + PUMPING SYSTEM ARE SIMILAR gpd = deg C deg C gpd = deg C deg C BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h Raw Water Temperature: Running Temperature: System type: Pipeline Area ft2 9424.8 7351.344 7351.344 10000 7000 21991.2 10131.66 32986.8 16964.64 18326 9660.42 27227.2 6508.348 23823.8 6508.348 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Peak Flow Velocity fps - 1.79767467734757 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 Raw Water Temperature: Running Temperature: System type: Surface Area ft2 7000 H-W C value 100 100 100 100 100 100 100 1636.07907272727 5453.59690909091 Percent of Total 3.430416544735 25.1163315019811 13.0956103278141 1.68147918746045 45.1840776286034 5.28047986305404 1.08698214804316 5.12462279830876 34 40 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 23247.84 269560.958333333 23524.3008 23524.3008 55000 38500 18046.4707257763 58264.2596113608 26738.762728287 10149.1895344918 87396.3894170413 44684.4653877275 13705.2622406348 48553.549676134 25511.6922714308 8963.83196577742 82441.9455725378 19598.3315082992 12519.9046719204 72136.7023759706 19611.8895492489 11334.5471032061 1006583.69034556 186894.697263605 54.7757025977739 118.005121963138 556.045077313214 295.012804907844 Peak Velocity Head ft - 2.03554689189765E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 34 50 Gravity buried service conn and buried gravity sewers. 2 catchments. services heat traced for emergency thawing 7 4-3-2-1 Heat Loss BTU/hr 31500 Peak Flow Velocity fps 2.73931379405345 2.64148115855154 2.64148115855154 1.76098743903436 2.64148115855154 2.64148115855154 1.76098743903436 kg/d kg/d deg. F deg. F Flow Rate gpm 89.7638888888889 89.7638888888889 89.7638888888889 85.489417989418 188.07671957672 43 188.07671957672 72 188.07671957672 41 188.07671957672 113 188.07671957672 113 Peak Friction Head psi - 8.83534022330511 15.2155429647055 22.8233144470583 12.6796191372546 20.2873906196074 17.7514667921565 deg. F deg. F pump stations pumping in series in 2 lines: Heat Loss BTU/d 756000 Peak Velocity Head ft 2.39280614231234E-02 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 Temp Drop °F Efficiency Adusted Fuel Cost $/gal 0.516943671067273 0.618343023154159 1.24118102066968 0.927514534731238 1.23875763439032 0.515285852628465 1.24198881609614 0.874934345687517 0.346180762515662 0.765567552476577 0.346420248869498 Peak Friction Head ft - 20.4096359158348 35.1479042484698 52.7218563727047 29.2899202070582 46.8638723312931 41.0058882898814 7-6-5-1 Fuel Cost $/gal 6.15384615384615 Peak Friction Head psi 30.4279271627369 4.53479774088693 9.06959548177387 4.28370039164247 9.06959548177387 13.6043932226608 4.28370039164247 Heat needed = This adds Heat needed = This adds Vacuum pumping energy would also triple Fuel Cost $/gal 4 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Average Static Head ft 15 15 15 15 15 15 Energy Cost $/d 34.4615 Peak Friction Head ft 70.2885117459223 10.4753827814488 20.9507655628976 9.89534790469412 20.9507655628976 31.4261483443464 9.89534790469412 Energy Cost, $/day Energy Cost, $/day-conn Energy Cost, Percent of Water System cost 130886.325818182 38.8933738143451 436287.752727273 129.64457938115 Energy Cost $/d 14.8448 32.0292 371.3813 32.4101 32.4101 75.775 53.0425 19.7431 63.7421 29.2527 11.1034 95.6131 48.8856 14.9938 53.1184 27.9102 9.8066 90.1929 21.4409 13.697 78.9188 21.4557 12.4002 1209.3226 36884.3399 442612.0789 Total Head m 60 10.8288891333018 15.3379617776486 20.7120763372397 13.546590257785 18.920704817376 17.1293332975123 PS 1 pumps to treatment/disposal Energy Cost $/mo-svc 2.7515 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 1.05537093215262 BTU/d percent to the sewage collection energy BTU/d percent to the sewage collection energy Heat/Power Production Efficiency = No. of Services 382 382 382 382 382 382 382 382 382 43 43 43 72 72 72 41 41 41 113 113 113 113 113 113 cost per service 382 382 382 Peak Pumping Power kW 3.17347081930415 0.601390364225231 1.78473438472891 2.4100695616591 1.57628932575218 2.20162450268237 1.99317944370564 Heat/Power Production Efficiency = Percent Water System Cost 2.84965631937128E-02 Total Head m 27.6175440930862 7.79171603029457 10.9950880848616 7.61359471180103 10.9950880848616 14.1984601394287 7.61359471180103 percent 0.65 Energy Cost $/mo-svc 1.1853 2.5573 29.6522 2.5877 2.5877 6.0501 4.2351 1.5764 45.2124 20.749 7.8757 40.5028 20.7085 6.3515 39.5149 20.7625 7.2951 24.3441 5.7871 3.697 21.3011 5.7912 3.347 3.1658 96.5559 1158.6704 Pumping Efficiency 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.75 Peak Pumping Power kW 5.2586082168153 0.635831574542851 0.897238059248241 0.414197496821297 0.897238059248241 1.15864454395363 0.414197496821297 Percent of Total 1.22753207526446E-02 2.64852162184431E-02 0.307098649401797 2.68001755464463E-02 2.68001755464463E-02 6.26590208816979E-02 4.38613146171886E-02 1.63257902685896E-02 5.27089255857153E-02 2.41892965653436E-02 9.18149272808295E-03 0.079063388378573 0.040423926720592 0.012398503857989 4.39241046547628E-02 2.30792238409963E-02 8.10915568478092E-03 7.45813368831891E-02 1.77296854703994E-02 0.011326166814687 6.52586697727904E-02 1.77419507901044E-02 0.010253829771385 Minimum Pump Motor kW 5.28911803217359 1.00231727370872 2.97455730788152 4.01678260276517 2.62714887625364 3.66937417113729 3.32196573950941 Pumping Efficiency 0.65 0.65 0.6 0.5 0.6 0.6 0.5 Pumping Energy kWh/d 126.938832772166 24.0556145690092 6.48994321719605 8.76388931512401 5.73196118455339 8.00590728248136 7.2479252498387 Minimum Pump Motor kW 8.09016648740815 0.978202422373617 1.49539676541373 0.828394993642593 1.49539676541373 1.93107423992272 0.828394993642593 Total kWh/d Total BTU/day Average kW Total kWh/yr/person UNKNOWN Pumping Energy kWh/d 48.5409989244489 5.8692145342417 5.98158706165494 2.48518498092778 8.97238059248241 7.72429695969087 2.48518498092778 82.0588480343744 279984.789493285 3.41911866809893 16.6397108514148 Existing Service Area Population = Average Service-AKIAK , ft = Average Service-BETHEL HTS , ft = Raw Water flow, gal/pers/day Treated water flow, gal/pers/day Description Raw Water Pumping Raw Water Pipeline Heating all raw water produced Tank 1 Heat Losses Tank 2 Heat Losses WTP Building 1 WTP Building 2 Initial Pressurization AKIAK SERVICE AREA Loop A Loop A Services (43) Loop A Pumping Loop B Loop B Services (72) Central Loop Pumping Loop C Loop C Services (41) Loop C Pumping BETHEL HEIGHTS SERVICE AREA Loop 1 Loop 1 Services (113) Loop 1 Pumping Loop 2 Loop 2 Services (113) Loop2 Pumping Note: 1 gpm heated 1 ºF = Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Initial Pressurization Raw Water Pumping-1 Loop A Pumping Loop B Pumping Loop C Pumping Loop 1 Pumping Loop 2 Pumping Existing Service Area Population = Average Service , ft = Sewage flow, gal/pers/day Number of sewer connections Sewage flow, cal/conn/day Heating Sewage Pump Stations Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Pump Station No. 1 No. 2 No. 3 No. 4 No. 5 No. 6 No. 7 Additional energy for Vacuum systems Assumptions Leaking Vacuum Valve Summary Water & Sewer - 35 degrees Total Energy Requirement Water System Energy Use Calculations for 1800 75 20 71.8111111111111 68.3915343915344 Length ft 3.97687458159024 3000 24' water depth 24' water depth 10,000 sf surface area 7,000 sf surface area 5.28911803217359 6000 3225 2.97455730788152 9000 5400 4.01678260276517 5000 3075 2.62714887625364 8000 2260 3.66937417113729 7000 2260 3.32196573950941 500.5 Assumed Fuel is Fuel Oil No. 1 @ Pipe IDia inches - 4 5.47 5.47 5.47 5.47 5.47 Sewer System Energy Use Calculations for 1800 50 61.552380952381 382 290.037397157816 1000 Number of Catchments 7 3 2 1 3 2 1 Note: 1 BTU = 1 kJ (close enough; 1.005) I.D. inch kW 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW BETHEL BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Pipe Area sq. ft. - 0.111111111111111 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 ft2/PS Pipe IDia inches 6 4 4 4 4 4 4 Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating (use WTP bldg value) O.D. inch 12 14 12 14 12 14 12 13 11 13 11 45 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 Pipe Length feet - 3000 6000 9000 5000 8000 7000 ASSUME EQUAL CATCHMENT FOR EACH PS Pipe Area sq. ft. 0.25 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 3 0.0013 1 10 0.0013 1 Raw water flow Raw water flow Treated water flow Treated water flow Insulation T, inch 4 5 5 5 5 4 4 4 4 4 4 3.5 3.5 3.5 3.5 DEGREES - AMBIENT TEMP 1 kWh = BTU/gal Avg Flow gpm - 89.7638888888889 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 Insulation T, inch 5 Pipe Length feet 5000 500 1000 1000 1000 1500 1000 (normal minimum) kJ/kg-deg C (leaking) kJ/kg-deg C 129260 89.7638888888889 123104.761904762 85.489417989418 Insulation R ft2-hr-F per BTU-inch 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 3412 = Peak Factor - 1 11 11 11 11 11 Sewage as fraction of water flow Sewage flow Avg. sewage flow Sewage flow per catchment Insulation R ft2-hr-F per BTU-inch 4 Avg Flow gpm 76.9404761904762 32.9744897959184 21.9829931972789 10.9914965986395 32.9744897959184 21.9829931972789 10.9914965986395 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Total Energy Estimate gal/day gal/min gal/day gal/min Insulation Effective R 30 25 25 20 20 30 30 30 30 30 30 26.25 26.25 26.25 26.25 BTU 39.5662368112544 Peak Flow gpm 85.489417989418 89.7638888888889 188.07671957672 188.07671957672 188.07671957672 188.07671957672 188.07671957672 BETHEL, ALASKA 0.9 110794.285714286 76.9404761904762 10.9914965986395 Insulation Effective R 20 Peak Factor 4 4 6 8 4 6 8 11666.0328955536 2527.06886179406 0.740641518696968 1.39044159169357 6.55181901845136 3.41911866809893 Insulation Effective k (1/R) BTU per ft2-hr-F 3.33333333333333E-02 0.04 0.04 0.05 0.05 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 kWh/gal Peak Flow cfs 0.190230124587045 0.199741630816397 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 gal/day gal/min gal/min Insulation Effective k (1/R) BTU per ft2-hr-F 0.05 Peak Flow gpm 307.761904761905 131.897959183673 131.897959183673 87.9319727891156 131.897959183673 131.897959183673 87.9319727891156 Air Flow = Air Temp= Sewage Temp= Air Flow = Air Temp= Sewage Temp= BETHEL, ALASKA Water Temp °F 34 45 45 70 70 44.4830563289327 44.1544359230971 44.4830563289327 43.9901257201793 44.4830563289327 44.2092059907364 44.4830563289327 44.0180696322402 44.4830563289327 44.0761929693267 -40 Peak Flow cms 5.39705921650366E-03 5.66691217732884E-03 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 Inside Temp °F 50 Peak Flow cfs 0.684828448513362 0.293497906505726 0.293497906505726 0.195665271003818 0.293497906505726 0.293497906505726 0.195665271003818 332382.857142857 -40 40 1107942.85714286 -40 40 0.65 -40 34 36816.9360723859 494195.090277778 143489.1392 18046.4707257763 515443.734259281 56672.7355160305 11666.0328955536 55000 1331330.1389468 External Temp °F AMBIENT -40 DEG F -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 F H-W C value - 125 125 125 125 125 125 External Temp °F -40 Peak Flow cms 1.94294131794132E-02 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 Note: Vacuum sewers reported to use 10-30 kWh/pers/yr for the vacuum pumps This calculation shows around 20 kWh/person/yr for the collection pumps - excluding pumping to treatment CONCLUSION: EXCLUDING HEATING, ENERGY COST FOR VACUUM SYSTEM AND FOR GRAVITY + PUMPING SYSTEM ARE SIMILAR gpd = deg C deg C gpd = deg C deg C BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h Raw Water Temperature: Running Temperature: System type: Pipeline Area ft2 9424.8 7351.344 7351.344 10000 7000 21991.2 10131.66 32986.8 16964.64 18326 9660.42 27227.2 6508.348 23823.8 6508.348 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Peak Flow Velocity fps - 1.79767467734757 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 Raw Water Temperature: Running Temperature: System type: Surface Area ft2 7000 H-W C value 100 100 100 100 100 100 100 1636.07907272727 5453.59690909091 Percent of Total 2.76542496825853 37.1204013054739 10.7778780786494 1.35552183473083 38.7164474971655 4.2568506381793 0.876268969977829 4.13120670756464 34 45 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 23247.84 494195.090277778 24994.5696 24994.5696 55000 38500 18046.4707257763 61929.4596113608 28420.8044088202 10149.1895344918 92894.1894170413 47495.4082132528 13705.2622406348 51607.8830094674 27116.543257901 8963.83196577742 87628.0789058711 20831.1937316134 12519.9046719204 76674.5690426372 20845.6046613155 11334.5471032061 1264664.10605125 234813.07864173 68.8197768586548 148.260739279162 698.610813357308 370.651848197905 Peak Velocity Head ft - 2.03554689189765E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 34 50 Gravity buried service conn and buried gravity sewers. 2 catchments. services heat traced for emergency thawing 7 4-3-2-1 Heat Loss BTU/hr 31500 Peak Flow Velocity fps 2.73931379405345 2.64148115855154 2.64148115855154 1.76098743903436 2.64148115855154 2.64148115855154 1.76098743903436 kg/d kg/d deg. F deg. F Flow Rate gpm 89.7638888888889 89.7638888888889 89.7638888888889 85.489417989418 188.07671957672 43 188.07671957672 72 188.07671957672 41 188.07671957672 113 188.07671957672 113 Peak Friction Head psi - 8.83534022330511 15.2155429647055 22.8233144470583 12.6796191372546 20.2873906196074 17.7514667921565 deg. F deg. F pump stations pumping in series in 2 lines: Heat Loss BTU/d 756000 Peak Velocity Head ft 2.39280614231234E-02 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 Temp Drop °F Efficiency Adusted Fuel Cost $/gal 0.516943671067273 0.657240811671198 1.31925936075849 0.985861217506798 1.31668352775706 0.547700676392665 1.32011797175897 0.929973393385097 0.367957778807224 0.81372671921196 0.368212330406717 Peak Friction Head ft - 20.4096359158348 35.1479042484698 52.7218563727047 29.2899202070582 46.8638723312931 41.0058882898814 7-6-5-1 Fuel Cost $/gal 6.15384615384615 Peak Friction Head psi 30.4279271627369 4.53479774088693 9.06959548177387 4.28370039164247 9.06959548177387 13.6043932226608 4.28370039164247 Heat needed = This adds Heat needed = This adds Vacuum pumping energy would also triple Fuel Cost $/gal 4 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Average Static Head ft 15 15 15 15 15 15 Energy Cost $/d 34.4615 Peak Friction Head ft 70.2885117459223 10.4753827814488 20.9507655628976 9.89534790469412 20.9507655628976 31.4261483443464 9.89534790469412 Energy Cost, $/day Energy Cost, $/day-conn Energy Cost, Percent of Water System cost 130886.325818182 38.8933738143451 436287.752727273 129.64457938115 Energy Cost $/d 14.8448 32.0292 680.8658 34.4357 34.4357 75.775 53.0425 19.7431 67.7519 31.0928 11.1034 101.6278 51.9608 14.9938 56.4599 29.666 9.8066 95.8666 22.7897 13.697 83.8833 22.8054 12.4002 1556.2321 47465.0802 569580.9624 Total Head m 60 10.8288891333018 15.3379617776486 20.7120763372397 13.546590257785 18.920704817376 17.1293332975123 PS 1 pumps to treatment/disposal Energy Cost $/mo-svc 2.7515 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 0.820111543594393 BTU/d percent to the sewage collection energy BTU/d percent to the sewage collection energy Heat/Power Production Efficiency = No. of Services 382 382 382 382 382 382 382 382 382 43 43 43 72 72 72 41 41 41 113 113 113 113 113 113 cost per service 382 382 382 Peak Pumping Power kW 3.17347081930415 0.601390364225231 1.78473438472891 2.4100695616591 1.57628932575218 2.20162450268237 1.99317944370564 Heat/Power Production Efficiency = Percent Water System Cost 2.21442146224958E-02 Total Head m 27.6175440930862 7.79171603029457 10.9950880848616 7.61359471180103 10.9950880848616 14.1984601394287 7.61359471180103 percent 0.65 Energy Cost $/mo-svc 1.1853 2.5573 54.3623 2.7494 2.7494 6.0501 4.2351 1.5764 48.0566 22.0542 7.8757 43.0507 22.0112 6.3515 42.0007 22.0686 7.2951 25.8755 6.1512 3.697 22.6411 6.1555 3.347 4.0739 124.2541 1491.0496 Pumping Efficiency 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.75 Peak Pumping Power kW 5.2586082168153 0.635831574542851 0.897238059248241 0.414197496821297 0.897238059248241 1.15864454395363 0.414197496821297 Percent of Total 9.53895160825961E-03 2.05812296829468E-02 0.437509147567755 2.21276031564222E-02 2.21276031564222E-02 4.86913034743044E-02 3.40839124320131E-02 1.26865054263548E-02 4.35358490504495E-02 1.99795680181869E-02 7.13478829511661E-03 6.53037735756742E-02 3.33888416843593E-02 9.63467519092709E-03 3.62798742087079E-02 1.90626842451794E-02 6.30149266317979E-03 6.16017455951938E-02 1.46441404709725E-02 8.80137955899027E-03 5.39015273957946E-02 1.46542712239958E-02 7.96808392705344E-03 Minimum Pump Motor kW 5.28911803217359 1.00231727370872 2.97455730788152 4.01678260276517 2.62714887625364 3.66937417113729 3.32196573950941 Pumping Efficiency 0.65 0.65 0.6 0.5 0.6 0.6 0.5 Pumping Energy kWh/d 126.938832772166 24.0556145690092 6.48994321719605 8.76388931512401 5.73196118455339 8.00590728248136 7.2479252498387 Minimum Pump Motor kW 8.09016648740815 0.978202422373617 1.49539676541373 0.828394993642593 1.49539676541373 1.93107423992272 0.828394993642593 Total kWh/d Total BTU/day Average kW Total kWh/yr/person UNKNOWN Pumping Energy kWh/d 48.5409989244489 5.8692145342417 5.98158706165494 2.48518498092778 8.97238059248241 7.72429695969087 2.48518498092778 82.0588480343744 279984.789493285 3.41911866809893 16.6397108514148 Existing Service Area Population = Average Service-AKIAK , ft = Average Service-BETHEL HTS , ft = Raw Water flow, gal/pers/day Treated water flow, gal/pers/day Description Raw Water Pumping Raw Water Pipeline Heating all raw water produced Tank 1 Heat Losses Tank 2 Heat Losses WTP Building 1 WTP Building 2 Initial Pressurization AKIAK SERVICE AREA Loop A Loop A Services (43) Loop A Pumping Loop B Loop B Services (72) Central Loop Pumping Loop C Loop C Services (41) Loop C Pumping BETHEL HEIGHTS SERVICE AREA Loop 1 Loop 1 Services (113) Loop 1 Pumping Loop 2 Loop 2 Services (113) Loop2 Pumping Note: 1 gpm heated 1 ºF = Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Initial Pressurization Raw Water Pumping-1 Loop A Pumping Loop B Pumping Loop C Pumping Loop 1 Pumping Loop 2 Pumping Existing Service Area Population = Average Service , ft = Sewage flow, gal/pers/day Number of sewer connections Sewage flow, cal/conn/day Heating Sewage Pump Stations Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Pump Station No. 1 No. 2 No. 3 No. 4 No. 5 No. 6 No. 7 Additional energy for Vacuum systems Assumptions Leaking Vacuum Valve Summary Water & Sewer - 35 degrees Total Energy Requirement Water System Energy Use Calculations for 1800 75 20 71.8111111111111 68.3915343915344 Length ft 3.97687458159024 3000 24' water depth 24' water depth 10,000 sf surface area 7,000 sf surface area 5.28911803217359 6000 3225 2.97455730788152 9000 5400 4.01678260276517 5000 3075 2.62714887625364 8000 2260 3.66937417113729 7000 2260 3.32196573950941 500.5 Assumed Fuel is Fuel Oil No. 1 @ Pipe IDia inches - 4 5.47 5.47 5.47 5.47 5.47 Sewer System Energy Use Calculations for 1800 50 61.552380952381 382 290.037397157816 1000 Number of Catchments 7 3 2 1 3 2 1 Note: 1 BTU = 1 kJ (close enough; 1.005) I.D. inch kW 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW BETHEL BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Pipe Area sq. ft. - 0.111111111111111 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 ft2/PS Pipe IDia inches 6 4 4 4 4 4 4 Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating (use WTP bldg value) O.D. inch 12 14 12 14 12 14 12 13 11 13 11 50 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 Pipe Length feet - 3000 6000 9000 5000 8000 7000 ASSUME EQUAL CATCHMENT FOR EACH PS Pipe Area sq. ft. 0.25 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 3 0.0013 1 10 0.0013 1 Raw water flow Raw water flow Treated water flow Treated water flow Insulation T, inch 4 5 5 5 5 4 4 4 4 4 4 3.5 3.5 3.5 3.5 DEGREES - AMBIENT TEMP 1 kWh = BTU/gal Avg Flow gpm - 89.7638888888889 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 Insulation T, inch 5 Pipe Length feet 5000 500 1000 1000 1000 1500 1000 (normal minimum) kJ/kg-deg C (leaking) kJ/kg-deg C 129260 89.7638888888889 123104.761904762 85.489417989418 Insulation R ft2-hr-F per BTU-inch 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 3412 = Peak Factor - 1 11 11 11 11 11 Sewage as fraction of water flow Sewage flow Avg. sewage flow Sewage flow per catchment Insulation R ft2-hr-F per BTU-inch 4 Avg Flow gpm 76.9404761904762 32.9744897959184 21.9829931972789 10.9914965986395 32.9744897959184 21.9829931972789 10.9914965986395 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Total Energy Estimate gal/day gal/min gal/day gal/min Insulation Effective R 30 25 25 20 20 30 30 30 30 30 30 26.25 26.25 26.25 26.25 BTU 39.5662368112544 Peak Flow gpm 85.489417989418 89.7638888888889 188.07671957672 188.07671957672 188.07671957672 188.07671957672 188.07671957672 BETHEL, ALASKA 0.9 110794.285714286 76.9404761904762 10.9914965986395 Insulation Effective R 20 Peak Factor 4 4 6 8 4 6 8 11666.0328955536 2527.06886179406 0.740641518696968 1.39044159169357 6.55181901845136 3.41911866809893 Insulation Effective k (1/R) BTU per ft2-hr-F 3.33333333333333E-02 0.04 0.04 0.05 0.05 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 kWh/gal Peak Flow cfs 0.190230124587045 0.199741630816397 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 gal/day gal/min gal/min Insulation Effective k (1/R) BTU per ft2-hr-F 0.05 Peak Flow gpm 307.761904761905 131.897959183673 131.897959183673 87.9319727891156 131.897959183673 131.897959183673 87.9319727891156 Air Flow = Air Temp= Sewage Temp= Air Flow = Air Temp= Sewage Temp= BETHEL, ALASKA Water Temp °F 34 50 50 70 70 49.4830563289327 49.1349870288386 49.4830563289327 48.9609523787915 49.4830563289327 49.1929985788543 49.4830563289327 48.9905501083914 49.4830563289327 49.0521133859591 -40 Peak Flow cms 5.39705921650366E-03 5.66691217732884E-03 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 Inside Temp °F 50 Peak Flow cfs 0.684828448513362 0.293497906505726 0.293497906505726 0.195665271003818 0.293497906505726 0.293497906505726 0.195665271003818 332382.857142857 -40 40 1107942.85714286 -40 40 0.65 -40 34 36816.9360723859 718829.222222222 146429.6768 18046.4707257763 545949.480420524 56672.7355160305 11666.0328955536 55000 1589410.55465249 External Temp °F AMBIENT -40 DEG F -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 F H-W C value - 125 125 125 125 125 125 External Temp °F -40 Peak Flow cms 1.94294131794132E-02 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 Note: Vacuum sewers reported to use 10-30 kWh/pers/yr for the vacuum pumps This calculation shows around 20 kWh/person/yr for the collection pumps - excluding pumping to treatment CONCLUSION: EXCLUDING HEATING, ENERGY COST FOR VACUUM SYSTEM AND FOR GRAVITY + PUMPING SYSTEM ARE SIMILAR gpd = deg C deg C gpd = deg C deg C BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h Raw Water Temperature: Running Temperature: System type: Pipeline Area ft2 9424.8 7351.344 7351.344 10000 7000 21991.2 10131.66 32986.8 16964.64 18326 9660.42 27227.2 6508.348 23823.8 6508.348 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Peak Flow Velocity fps - 1.79767467734757 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 Raw Water Temperature: Running Temperature: System type: Surface Area ft2 7000 H-W C value 100 100 100 100 100 100 100 1636.07907272727 5453.59690909091 Percent of Total 2.31638930323044 45.226151299806 9.21282901836621 1.13541908180684 34.3491792490261 3.56564484551453 0.733984863848108 3.46040233840181 34 50 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 23247.84 718829.222222222 26464.8384 26464.8384 55000 38500 18046.4707257763 65594.6596113608 30102.8460893534 10149.1895344918 98391.9894170413 50306.3510387781 13705.2622406348 54662.2163428007 28721.3942443712 8963.83196577742 92814.2122392045 22064.0559549276 12519.9046719204 81212.4357093039 22079.3197733821 11334.5471032061 1522744.52175694 282731.460019856 82.8638511195356 178.516356595186 841.176549401401 446.290891487966 Peak Velocity Head ft - 2.03554689189765E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 34 50 Gravity buried service conn and buried gravity sewers. 2 catchments. services heat traced for emergency thawing 7 4-3-2-1 Heat Loss BTU/hr 31500 Peak Flow Velocity fps 2.73931379405345 2.64148115855154 2.64148115855154 1.76098743903436 2.64148115855154 2.64148115855154 1.76098743903436 kg/d kg/d deg. F deg. F Flow Rate gpm 89.7638888888889 89.7638888888889 89.7638888888889 85.489417989418 188.07671957672 43 188.07671957672 72 188.07671957672 41 188.07671957672 113 188.07671957672 113 Peak Friction Head psi - 8.83534022330511 15.2155429647055 22.8233144470583 12.6796191372546 20.2873906196074 17.7514667921565 deg. F deg. F pump stations pumping in series in 2 lines: Heat Loss BTU/d 756000 Peak Velocity Head ft 2.39280614231234E-02 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 Temp Drop °F Efficiency Adusted Fuel Cost $/gal 0.516943671067273 0.696138600188238 1.3973377008473 1.04420790028236 1.39460942112381 0.580115500156865 1.3982471274218 0.985012441082677 0.389734795098786 0.861885885947343 0.390004411943937 Peak Friction Head ft - 20.4096359158348 35.1479042484698 52.7218563727047 29.2899202070582 46.8638723312931 41.0058882898814 7-6-5-1 Fuel Cost $/gal 6.15384615384615 Peak Friction Head psi 30.4279271627369 4.53479774088693 9.06959548177387 4.28370039164247 9.06959548177387 13.6043932226608 4.28370039164247 Heat needed = This adds Heat needed = This adds Vacuum pumping energy would also triple Fuel Cost $/gal 4 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Average Static Head ft 15 15 15 15 15 15 Energy Cost $/d 34.4615 Peak Friction Head ft 70.2885117459223 10.4753827814488 20.9507655628976 9.89534790469412 20.9507655628976 31.4261483443464 9.89534790469412 Energy Cost, $/day Energy Cost, $/day-conn Energy Cost, Percent of Water System cost 130886.325818182 38.8933738143451 436287.752727273 129.64457938115 Energy Cost $/d 14.8448 32.0292 990.3502 36.4613 36.4613 75.775 53.0425 19.7431 71.7617 32.933 11.1034 107.6425 55.036 14.9938 59.8014 31.4217 9.8066 101.5403 24.1385 13.697 88.8478 24.1552 12.4002 1903.1417 58045.8205 696549.8459 Total Head m 60 10.8288891333018 15.3379617776486 20.7120763372397 13.546590257785 18.920704817376 17.1293332975123 PS 1 pumps to treatment/disposal Energy Cost $/mo-svc 2.7515 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 0.670619518496692 BTU/d percent to the sewage collection energy BTU/d percent to the sewage collection energy Heat/Power Production Efficiency = No. of Services 382 382 382 382 382 382 382 382 382 43 43 43 72 72 72 41 41 41 113 113 113 113 113 113 cost per service 382 382 382 Peak Pumping Power kW 3.17347081930415 0.601390364225231 1.78473438472891 2.4100695616591 1.57628932575218 2.20162450268237 1.99317944370564 Heat/Power Production Efficiency = Percent Water System Cost 1.81077106688918E-02 Total Head m 27.6175440930862 7.79171603029457 10.9950880848616 7.61359471180103 10.9950880848616 14.1984601394287 7.61359471180103 percent 0.65 Energy Cost $/mo-svc 1.1853 2.5573 79.0725 2.9112 2.9112 6.0501 4.2351 1.5764 50.9007 23.3595 7.8757 45.5986 23.3139 6.3515 44.4864 23.3747 7.2951 27.4069 6.5152 3.697 23.981 6.5198 3.347 4.982 151.9524 1823.4289 Pumping Efficiency 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.75 Peak Pumping Power kW 5.2586082168153 0.635831574542851 0.897238059248241 0.414197496821297 0.897238059248241 1.15864454395363 0.414197496821297 Percent of Total 7.80016716562414E-03 1.68296306128741E-02 0.520376528905033 1.91584876057907E-02 1.91584876057907E-02 3.98157284164066E-02 2.78710098914846E-02 1.03739768411741E-02 3.77069561164116E-02 1.73045595967046E-02 5.83424087664513E-03 5.65604341746175E-02 2.89185031561238E-02 7.87844200935563E-03 0.031422463430343 1.65104348248968E-02 5.15284049907496E-03 5.33540603551947E-02 1.26834775052085E-02 7.19704163178547E-03 4.66848028107954E-02 1.26922518800744E-02 6.5156412542153E-03 Minimum Pump Motor kW 5.28911803217359 1.00231727370872 2.97455730788152 4.01678260276517 2.62714887625364 3.66937417113729 3.32196573950941 Pumping Efficiency 0.65 0.65 0.6 0.5 0.6 0.6 0.5 Pumping Energy kWh/d 126.938832772166 24.0556145690092 6.48994321719605 8.76388931512401 5.73196118455339 8.00590728248136 7.2479252498387 Minimum Pump Motor kW 8.09016648740815 0.978202422373617 1.49539676541373 0.828394993642593 1.49539676541373 1.93107423992272 0.828394993642593 Total kWh/d Total BTU/day Average kW Total kWh/yr/person UNKNOWN Pumping Energy kWh/d 48.5409989244489 5.8692145342417 5.98158706165494 2.48518498092778 8.97238059248241 7.72429695969087 2.48518498092778 82.0588480343744 279984.789493285 3.41911866809893 16.6397108514148 Existing Service Area Population = Average Service-AKIAK , ft = Average Service-BETHEL HTS , ft = Raw Water flow, gal/pers/day Treated water flow, gal/pers/day Description Raw Water Pumping Raw Water Pipeline Heating all raw water produced Tank 1 Heat Losses Tank 2 Heat Losses WTP Building 1 WTP Building 2 Initial Pressurization AKIAK SERVICE AREA Loop A Loop A Services (43) Loop A Pumping Loop B Loop B Services (72) Central Loop Pumping Loop C Loop C Services (41) Loop C Pumping BETHEL HEIGHTS SERVICE AREA Loop 1 Loop 1 Services (113) Loop 1 Pumping Loop 2 Loop 2 Services (113) Loop2 Pumping Note: 1 gpm heated 1 ºF = Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Initial Pressurization Raw Water Pumping-1 Loop A Pumping Loop B Pumping Loop C Pumping Loop 1 Pumping Loop 2 Pumping Existing Service Area Population = Average Service , ft = Sewage flow, gal/pers/day Number of sewer connections Sewage flow, cal/conn/day Heating Sewage Pump Stations Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Pump Station No. 1 No. 2 No. 3 No. 4 No. 5 No. 6 No. 7 Additional energy for Vacuum systems Assumptions Leaking Vacuum Valve Summary Water & Sewer - 35 degrees Total Energy Requirement Water System Energy Use Calculations for 1800 75 20 71.8111111111111 68.3915343915344 Length ft 3.97687458159024 3000 24' water depth 24' water depth 10,000 sf surface area 7,000 sf surface area 5.28911803217359 6000 3225 2.97455730788152 9000 5400 4.01678260276517 5000 3075 2.62714887625364 8000 2260 3.66937417113729 7000 2260 3.32196573950941 500.5 Assumed Fuel is Fuel Oil No. 1 @ Pipe IDia inches - 4 5.47 5.47 5.47 5.47 5.47 Sewer System Energy Use Calculations for 1800 50 61.552380952381 382 290.037397157816 1000 Number of Catchments 7 3 2 1 3 2 1 Note: 1 BTU = 1 kJ (close enough; 1.005) I.D. inch kW 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW BETHEL BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Pipe Area sq. ft. - 0.111111111111111 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 ft2/PS Pipe IDia inches 6 4 4 4 4 4 4 Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating (use WTP bldg value) O.D. inch 12 14 12 14 12 14 12 13 11 13 11 55 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 Pipe Length feet - 3000 6000 9000 5000 8000 7000 ASSUME EQUAL CATCHMENT FOR EACH PS Pipe Area sq. ft. 0.25 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 3 0.0013 1 10 0.0013 1 Raw water flow Raw water flow Treated water flow Treated water flow Insulation T, inch 4 5 5 5 5 4 4 4 4 4 4 3.5 3.5 3.5 3.5 DEGREES - AMBIENT TEMP 1 kWh = BTU/gal Avg Flow gpm - 89.7638888888889 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 Insulation T, inch 5 Pipe Length feet 5000 500 1000 1000 1000 1500 1000 (normal minimum) kJ/kg-deg C (leaking) kJ/kg-deg C 129260 89.7638888888889 123104.761904762 85.489417989418 Insulation R ft2-hr-F per BTU-inch 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 3412 = Peak Factor - 1 11 11 11 11 11 Sewage as fraction of water flow Sewage flow Avg. sewage flow Sewage flow per catchment Insulation R ft2-hr-F per BTU-inch 4 Avg Flow gpm 76.9404761904762 32.9744897959184 21.9829931972789 10.9914965986395 32.9744897959184 21.9829931972789 10.9914965986395 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Total Energy Estimate gal/day gal/min gal/day gal/min Insulation Effective R 30 25 25 20 20 30 30 30 30 30 30 26.25 26.25 26.25 26.25 BTU 39.5662368112544 Peak Flow gpm 85.489417989418 89.7638888888889 188.07671957672 188.07671957672 188.07671957672 188.07671957672 188.07671957672 BETHEL, ALASKA 0.9 110794.285714286 76.9404761904762 10.9914965986395 Insulation Effective R 20 Peak Factor 4 4 6 8 4 6 8 11666.0328955536 2527.06886179406 0.740641518696968 1.39044159169357 6.55181901845136 3.41911866809893 Insulation Effective k (1/R) BTU per ft2-hr-F 3.33333333333333E-02 0.04 0.04 0.05 0.05 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 kWh/gal Peak Flow cfs 0.190230124587045 0.199741630816397 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 gal/day gal/min gal/min Insulation Effective k (1/R) BTU per ft2-hr-F 0.05 Peak Flow gpm 307.761904761905 131.897959183673 131.897959183673 87.9319727891156 131.897959183673 131.897959183673 87.9319727891156 Air Flow = Air Temp= Sewage Temp= Air Flow = Air Temp= Sewage Temp= BETHEL, ALASKA Water Temp °F 34 55 55 70 70 54.4830563289327 54.1155381345801 54.4830563289327 53.9317790374038 54.4830563289327 54.1767911669722 54.4830563289327 53.9630305845426 54.4830563289327 54.0280338025914 -40 Peak Flow cms 5.39705921650366E-03 5.66691217732884E-03 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 Inside Temp °F 50 Peak Flow cfs 0.684828448513362 0.293497906505726 0.293497906505726 0.195665271003818 0.293497906505726 0.293497906505726 0.195665271003818 332382.857142857 -40 40 1107942.85714286 -40 40 0.65 -40 34 36816.9360723859 943463.354166667 149370.2144 18046.4707257763 576455.226581766 56672.7355160305 11666.0328955536 55000 1847490.97035818 External Temp °F AMBIENT -40 DEG F -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 F H-W C value - 125 125 125 125 125 125 External Temp °F -40 Peak Flow cms 1.94294131794132E-02 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 Note: Vacuum sewers reported to use 10-30 kWh/pers/yr for the vacuum pumps This calculation shows around 20 kWh/person/yr for the collection pumps - excluding pumping to treatment CONCLUSION: EXCLUDING HEATING, ENERGY COST FOR VACUUM SYSTEM AND FOR GRAVITY + PUMPING SYSTEM ARE SIMILAR gpd = deg C deg C gpd = deg C deg C BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h Raw Water Temperature: Running Temperature: System type: Pipeline Area ft2 9424.8 7351.344 7351.344 10000 7000 21991.2 10131.66 32986.8 16964.64 18326 9660.42 27227.2 6508.348 23823.8 6508.348 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Peak Flow Velocity fps - 1.79767467734757 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 Raw Water Temperature: Running Temperature: System type: Surface Area ft2 7000 H-W C value 100 100 100 100 100 100 100 1636.07907272727 5453.59690909091 Percent of Total 1.99280736215171 51.0672782332329 8.08503082269685 0.976809684881846 31.2020592160192 3.06755142110617 0.631452769335691 2.9770104905756 34 55 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 23247.84 943463.354166667 27935.1072 27935.1072 55000 38500 18046.4707257763 69259.8596113608 31784.8877698867 10149.1895344918 103889.789417041 53117.2938643034 13705.2622406348 57716.549676134 30326.2452308414 8963.83196577742 98000.3455725378 23296.9181782418 12519.9046719204 85750.3023759706 23313.0348854487 11334.5471032061 1780824.93746263 330649.841397981 96.9079253804164 208.77197391121 983.742285445494 521.929934778026 Peak Velocity Head ft - 2.03554689189765E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 34 50 Gravity buried service conn and buried gravity sewers. 2 catchments. services heat traced for emergency thawing 7 4-3-2-1 Heat Loss BTU/hr 31500 Peak Flow Velocity fps 2.73931379405345 2.64148115855154 2.64148115855154 1.76098743903436 2.64148115855154 2.64148115855154 1.76098743903436 kg/d kg/d deg. F deg. F Flow Rate gpm 89.7638888888889 89.7638888888889 89.7638888888889 85.489417989418 188.07671957672 43 188.07671957672 72 188.07671957672 41 188.07671957672 113 188.07671957672 113 Peak Friction Head psi - 8.83534022330511 15.2155429647055 22.8233144470583 12.6796191372546 20.2873906196074 17.7514667921565 deg. F deg. F pump stations pumping in series in 2 lines: Heat Loss BTU/d 756000 Peak Velocity Head ft 2.39280614231234E-02 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 Temp Drop °F Efficiency Adusted Fuel Cost $/gal 0.516943671067273 0.735036388705278 1.47541604093611 1.10255458305792 1.47253531449056 0.612530323921065 1.47637628308463 1.04005148878026 0.411511811390348 0.910045052682726 0.411796493481156 Peak Friction Head ft - 20.4096359158348 35.1479042484698 52.7218563727047 29.2899202070582 46.8638723312931 41.0058882898814 7-6-5-1 Fuel Cost $/gal 6.15384615384615 Peak Friction Head psi 30.4279271627369 4.53479774088693 9.06959548177387 4.28370039164247 9.06959548177387 13.6043932226608 4.28370039164247 Heat needed = This adds Heat needed = This adds Vacuum pumping energy would also triple Fuel Cost $/gal 4 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Average Static Head ft 15 15 15 15 15 15 Energy Cost $/d 34.4615 Peak Friction Head ft 70.2885117459223 10.4753827814488 20.9507655628976 9.89534790469412 20.9507655628976 31.4261483443464 9.89534790469412 Energy Cost, $/day Energy Cost, $/day-conn Energy Cost, Percent of Water System cost 130886.325818182 38.8933738143451 436287.752727273 129.64457938115 Energy Cost $/d 14.8448 32.0292 1299.8347 38.4869 38.4869 75.775 53.0425 19.7431 75.7715 34.7732 11.1034 113.6572 58.1112 14.9938 63.1429 33.1774 9.8066 107.2141 25.4872 13.697 93.8123 25.5049 12.4002 2250.0512 68626.5608 823518.7295 Total Head m 60 10.8288891333018 15.3379617776486 20.7120763372397 13.546590257785 18.920704817376 17.1293332975123 PS 1 pumps to treatment/disposal Energy Cost $/mo-svc 2.7515 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 0.56722440617739 BTU/d percent to the sewage collection energy BTU/d percent to the sewage collection energy Heat/Power Production Efficiency = No. of Services 382 382 382 382 382 382 382 382 382 43 43 43 72 72 72 41 41 41 113 113 113 113 113 113 cost per service 382 382 382 Peak Pumping Power kW 3.17347081930415 0.601390364225231 1.78473438472891 2.4100695616591 1.57628932575218 2.20162450268237 1.99317944370564 Heat/Power Production Efficiency = Percent Water System Cost 1.53158909755843E-02 Total Head m 27.6175440930862 7.79171603029457 10.9950880848616 7.61359471180103 10.9950880848616 14.1984601394287 7.61359471180103 percent 0.65 Energy Cost $/mo-svc 1.1853 2.5573 103.7826 3.0729 3.0729 6.0501 4.2351 1.5764 53.7449 24.6647 7.8757 48.1465 24.6166 6.3515 46.9722 24.6808 7.2951 28.9383 6.8793 3.697 25.321 6.8841 3.347 5.8902 179.6507 2155.8082 Pumping Efficiency 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.75 Peak Pumping Power kW 5.2586082168153 0.635831574542851 0.897238059248241 0.414197496821297 0.897238059248241 1.15864454395363 0.414197496821297 Percent of Total 6.5975490819648E-03 1.42348633871733E-02 0.57769117291614 1.71049196268574E-02 1.71049196268574E-02 3.36769990801093E-02 2.35738993560765E-02 8.77453263904961E-03 0.03367544313625 1.54544087541196E-02 4.93472636193069E-03 0.050513164704375 2.58266248172616E-02 6.66375562759853E-03 2.80628692802083E-02 1.47451893858539E-02 4.35838327337473E-03 4.76496066145578E-02 1.13273986947638E-02 6.08741253904259E-03 4.16934057877381E-02 1.13352349401754E-02 5.51106945048664E-03 Minimum Pump Motor kW 5.28911803217359 1.00231727370872 2.97455730788152 4.01678260276517 2.62714887625364 3.66937417113729 3.32196573950941 Pumping Efficiency 0.65 0.65 0.6 0.5 0.6 0.6 0.5 Pumping Energy kWh/d 126.938832772166 24.0556145690092 6.48994321719605 8.76388931512401 5.73196118455339 8.00590728248136 7.2479252498387 Minimum Pump Motor kW 8.09016648740815 0.978202422373617 1.49539676541373 0.828394993642593 1.49539676541373 1.93107423992272 0.828394993642593 Total kWh/d Total BTU/day Average kW Total kWh/yr/person Pumping Energy kWh/d 48.5409989244489 5.8692145342417 5.98158706165494 2.48518498092778 8.97238059248241 7.72429695969087 2.48518498092778 82.0588480343744 279984.789493285 3.41911866809893 16.6397108514148 Existing Service Area Population = Average Service-AKIAK , ft = Average Service-BETHEL HTS , ft = Raw Water flow, gal/pers/day Treated water flow, gal/pers/day Description Raw Water Pumping Raw Water Pipeline Heating all raw water produced Tank 1 Heat Losses Tank 2 Heat Losses WTP Building 1 WTP Building 2 Initial Pressurization AKIAK SERVICE AREA Loop A Loop A Services (43) Loop A Pumping Loop B Loop B Services (72) Central Loop Pumping Loop C Loop C Services (41) Loop C Pumping BETHEL HEIGHTS SERVICE AREA Loop 1 Loop 1 Services (113) Loop 1 Pumping Loop 2 Loop 2 Services (113) Loop2 Pumping Note: 1 gpm heated 1 ºF = Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Initial Pressurization Raw Water Pumping-1 Loop A Pumping Loop B Pumping Loop C Pumping Loop 1 Pumping Loop 2 Pumping Existing Service Area Population = Average Service , ft = Sewage flow, gal/pers/day Number of sewer connections Sewage flow, cal/conn/day Heating Sewage Pump Stations Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID Pump Station No. 1 No. 2 No. 3 No. 4 No. 5 No. 6 No. 7 Additional energy for Vacuum systems Assumptions Leaking Vacuum Valve Summary Water & Sewer - 35 degrees Total Energy Requirement Water System Energy Use Calculations for 1800 75 20 71.8111111111111 68.3915343915344 Length ft 3.97687458159024 3000 24' water depth 24' water depth 10,000 sf surface area 7,000 sf surface area 5.28911803217359 6000 3225 2.97455730788152 9000 5400 4.01678260276517 5000 3075 2.62714887625364 8000 2260 3.66937417113729 7000 2260 3.32196573950941 500.5 Assumed Fuel is Fuel Oil No. 1 @ Pipe IDia inches - 4 5.47 5.47 5.47 5.47 5.47 Sewer System Energy Use Calculations for 1800 50 61.552380952381 382 290.037397157816 1000 Number of Catchments 7 3 2 1 3 2 1 Note: 1 BTU = 1 kJ (close enough; 1.005) I.D. inch kW 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW 6 4 kW BETHEL BTU/hour 135000 Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = Pipe Area sq. ft. - 0.111111111111111 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 0.207784027777778 ft2/PS Pipe IDia inches 6 4 4 4 4 4 4 Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Air to Liquid Ratio = Air Specific Gravity = Air Specific Heat= Efficiency factor Ambient Temperature, deg F Raw Water Temperature, deg F Heating & Pumping Raw Water Line Heating Raw Water Heating WTP Bldg & Water Tank Initial Pressurization Loop and Services Heat Loss Loop Pumping Sewage Pumping Lift Station Heating (use WTP bldg value) O.D. inch 12 14 12 14 12 14 12 13 11 13 11 60 71.8111111111111 2.15433333333333 5.38583333333333 10.1513089005236 Pipe Length feet - 3000 6000 9000 5000 8000 7000 ASSUME EQUAL CATCHMENT FOR EACH PS Pipe Area sq. ft. 0.25 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 3 0.0013 1 10 0.0013 1 Raw water flow Raw water flow Treated water flow Treated water flow Insulation T, inch 4 5 5 5 5 4 4 4 4 4 4 3.5 3.5 3.5 3.5 DEGREES - AMBIENT TEMP 1 kWh = BTU/gal Avg Flow gpm - 89.7638888888889 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 17.0978835978836 Insulation T, inch 5 Pipe Length feet 5000 500 1000 1000 1000 1500 1000 (normal minimum) kJ/kg-deg C (leaking) kJ/kg-deg C 129260 89.7638888888889 123104.761904762 85.489417989418 Insulation R ft2-hr-F per BTU-inch 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 3412 = Peak Factor - 1 11 11 11 11 11 Sewage as fraction of water flow Sewage flow Avg. sewage flow Sewage flow per catchment Insulation R ft2-hr-F per BTU-inch 4 Avg Flow gpm 76.9404761904762 32.9744897959184 21.9829931972789 10.9914965986395 32.9744897959184 21.9829931972789 10.9914965986395 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Total Energy Estimate gal/day gal/min gal/day gal/min Insulation Effective R 30 25 25 20 20 30 30 30 30 30 30 26.25 26.25 26.25 26.25 BTU 39.5662368112544 Peak Flow gpm 85.489417989418 89.7638888888889 188.07671957672 188.07671957672 188.07671957672 188.07671957672 188.07671957672 BETHEL, ALASKA 0.9 110794.285714286 76.9404761904762 10.9914965986395 Insulation Effective R 20 Peak Factor 4 4 6 8 4 6 8 11666.0328955536 2527.06886179406 0.740641518696968 1.39044159169357 6.55181901845136 3.41911866809893 Insulation Effective k (1/R) BTU per ft2-hr-F 3.33333333333333E-02 0.04 0.04 0.05 0.05 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.33333333333333E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 3.80952380952381E-02 kWh/gal Peak Flow cfs 0.190230124587045 0.199741630816397 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 0.418506274091499 gal/day gal/min gal/min Insulation Effective k (1/R) BTU per ft2-hr-F 0.05 Peak Flow gpm 307.761904761905 131.897959183673 131.897959183673 87.9319727891156 131.897959183673 131.897959183673 87.9319727891156 Air Flow = Air Temp= Sewage Temp= Air Flow = Air Temp= Sewage Temp= BETHEL, ALASKA Water Temp °F 34 60 60 70 70 59.4830563289327 59.0960892403216 59.4830563289327 58.902605696016 59.4830563289327 59.1605837550901 59.4830563289327 58.9355110606938 59.4830563289327 59.0039542192237 -40 Peak Flow cms 5.39705921650366E-03 5.66691217732884E-03 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 1.18735302763081E-02 Inside Temp °F 50 Peak Flow cfs 0.684828448513362 0.293497906505726 0.293497906505726 0.195665271003818 0.293497906505726 0.293497906505726 0.195665271003818 332382.857142857 -40 40 1107942.85714286 -40 40 0.65 -40 34 36816.9360723859 1168097.48611111 152310.752 18046.4707257763 606960.972743009 56672.7355160305 11666.0328955536 55000 2105571.38606387 External Temp °F AMBIENT -40 DEG F -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 -40 F H-W C value - 125 125 125 125 125 125 External Temp °F -40 Peak Flow cms 1.94294131794132E-02 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 8.32689136260565E-03 8.32689136260565E-03 5.55126090840377E-03 Note: Vacuum sewers reported to use 10-30 kWh/pers/yr for the vacuum pumps This calculation shows around 20 kWh/person/yr for the collection pumps - excluding pumping to treatment CONCLUSION: EXCLUDING HEATING, ENERGY COST FOR VACUUM SYSTEM AND FOR GRAVITY + PUMPING SYSTEM ARE SIMILAR gpd = deg C deg C gpd = deg C deg C BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h BTU/h Raw Water Temperature: Running Temperature: System type: Pipeline Area ft2 9424.8 7351.344 7351.344 10000 7000 21991.2 10131.66 32986.8 16964.64 18326 9660.42 27227.2 6508.348 23823.8 6508.348 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Peak Flow Velocity fps - 1.79767467734757 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 2.01414073337285 Raw Water Temperature: Running Temperature: System type: Surface Area ft2 7000 H-W C value 100 100 100 100 100 100 100 1636.07907272727 5453.59690909091 Percent of Total 1.74854846129017 55.4765083645414 7.23370164545825 0.857081875505165 28.8264257749843 2.6915608699439 0.554055444178595 2.61211756409819 34 60 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 23247.84 1168097.48611111 29405.376 29405.376 55000 38500 18046.4707257763 72925.0596113608 33466.9294504199 10149.1895344918 109387.589417041 55928.2366898287 13705.2622406348 60770.8830094674 31931.0962173116 8963.83196577742 103186.478905871 24529.780401556 12519.9046719204 90288.1690426372 24546.7499975153 11334.5471032061 2038905.35316831 378568.222776106 110.951999641297 239.027591227235 1126.30802148959 597.568978068087 Peak Velocity Head ft - 2.03554689189765E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 8.93609701295657E-03 34 50 Gravity buried service conn and buried gravity sewers. 2 catchments. services heat traced for emergency thawing 7 4-3-2-1 Heat Loss BTU/hr 31500 Peak Flow Velocity fps 2.73931379405345 2.64148115855154 2.64148115855154 1.76098743903436 2.64148115855154 2.64148115855154 1.76098743903436 kg/d kg/d deg. F deg. F Flow Rate gpm 89.7638888888889 89.7638888888889 89.7638888888889 85.489417989418 188.07671957672 43 188.07671957672 72 188.07671957672 41 188.07671957672 113 188.07671957672 113 Peak Friction Head psi - 8.83534022330511 15.2155429647055 22.8233144470583 12.6796191372546 20.2873906196074 17.7514667921565 deg. F deg. F pump stations pumping in series in 2 lines: Heat Loss BTU/d 756000 Peak Velocity Head ft 2.39280614231234E-02 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 4.39495005730837E-03 4.39495005730837E-03 1.9533111365815E-03 Temp Drop °F Efficiency Adusted Fuel Cost $/gal 0.516943671067273 0.773934177222318 1.55349438102492 1.16090126583348 1.5504612078573 0.644945147685265 1.55450543874746 1.09509053647784 0.43328882768191 0.958204219418108 0.433588575018375 Peak Friction Head ft - 20.4096359158348 35.1479042484698 52.7218563727047 29.2899202070582 46.8638723312931 41.0058882898814 7-6-5-1 Fuel Cost $/gal 6.15384615384615 Peak Friction Head psi 30.4279271627369 4.53479774088693 9.06959548177387 4.28370039164247 9.06959548177387 13.6043932226608 4.28370039164247 Heat needed = This adds Heat needed = This adds Vacuum pumping energy would also triple Fuel Cost $/gal 4 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 6.15384615384615 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Average Static Head ft 15 15 15 15 15 15 Energy Cost $/d 34.4615 Peak Friction Head ft 70.2885117459223 10.4753827814488 20.9507655628976 9.89534790469412 20.9507655628976 31.4261483443464 9.89534790469412 Energy Cost, $/day Energy Cost, $/day-conn Energy Cost, Percent of Water System cost 130886.325818182 38.8933738143451 436287.752727273 129.64457938115 Energy Cost $/d 14.8448 32.0292 1609.3192 40.5126 40.5126 75.775 53.0425 19.7431 79.7813 36.6134 11.1034 119.6719 61.1864 14.9938 66.4844 34.9332 9.8066 112.8878 26.836 13.697 98.7768 26.8546 12.4002 2596.9607 79207.3011 950487.613 Total Head m 60 10.8288891333018 15.3379617776486 20.7120763372397 13.546590257785 18.920704817376 17.1293332975123 PS 1 pumps to treatment/disposal Energy Cost $/mo-svc 2.7515 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 0.491452929964942 BTU/d percent to the sewage collection energy BTU/d percent to the sewage collection energy Heat/Power Production Efficiency = No. of Services 382 382 382 382 382 382 382 382 382 43 43 43 72 72 72 41 41 41 113 113 113 113 113 113 cost per service 382 382 382 Peak Pumping Power kW 3.17347081930415 0.601390364225231 1.78473438472891 2.4100695616591 1.57628932575218 2.20162450268237 1.99317944370564 Heat/Power Production Efficiency = Percent Water System Cost 1.32699499757078E-02 Total Head m 27.6175440930862 7.79171603029457 10.9950880848616 7.61359471180103 10.9950880848616 14.1984601394287 7.61359471180103 percent 0.65 Energy Cost $/mo-svc 1.1853 2.5573 128.4928 3.2346 3.2346 6.0501 4.2351 1.5764 56.589 25.97 7.8757 50.6943 25.9193 6.3515 49.4579 25.9869 7.2951 30.4697 7.2433 3.697 26.661 7.2484 3.347 6.7983 207.349 2488.1875 Pumping Efficiency 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.75 Peak Pumping Power kW 5.2586082168153 0.635831574542851 0.897238059248241 0.414197496821297 0.897238059248241 1.15864454395363 0.414197496821297 Percent of Total 5.71622939987726E-03 1.23333291781686E-02 0.61969330520167 1.55999947442782E-02 1.55999947442782E-02 2.91783281715323E-02 2.04248297200726E-02 7.60240519901987E-03 3.07210124767703E-02 0.014098554909448 4.27553134656134E-03 4.60815187151555E-02 2.35607905747165E-02 5.77359188371999E-03 2.56008437306419E-02 1.34515571261345E-02 3.77617783417513E-03 4.34691877222328E-02 1.03336177410713E-02 5.27423837133378E-03 3.80355392569537E-02 1.03407664931185E-02 4.77488485894756E-03 Minimum Pump Motor kW 5.28911803217359 1.00231727370872 2.97455730788152 4.01678260276517 2.62714887625364 3.66937417113729 3.32196573950941 Pumping Efficiency 0.65 0.65 0.6 0.5 0.6 0.6 0.5 Pumping Energy kWh/d 126.938832772166 24.0556145690092 6.48994321719605 8.76388931512401 5.73196118455339 8.00590728248136 7.2479252498387 Minimum Pump Motor kW 8.09016648740815 0.978202422373617 1.49539676541373 0.828394993642593 1.49539676541373 1.93107423992272 0.828394993642593 Total kWh/d Total BTU/day Average kW Total kWh/yr/person UNKNOWN Pumping Energy kWh/d 48.5409989244489 5.8692145342417 5.98158706165494 2.48518498092778 8.97238059248241 7.72429695969087 2.48518498092778 82.0588480343744 279984.789493285 3.41911866809893 16.6397108514148 Existing Service Area Population = Average Service , ft = Raw Water flow, gal/pers/day Treated water flow, gal/pers/day Description Raw Water Pipeline 1 Raw Water Pipeline 2 Heating all raw water produced Tank Heat Losses WTP Building Loop A Loop A Services (100) Loop A Pumping Loop B Loop B Services (80) Loop B Pumping Loop C Loop C Services (70) Loop C Pumping Note: 1 gpm heated 1 ºF = Assumed Fuel is Fuel Oil No. 1 Water System Energy Use Calculations for 1000 50 60 57.1428571428571 Length ft 6500 8000 25' water depth 10,000 sf surface area 7500 5000 10 6000 4000 6 5000 3500 6 500.5 I.D. inch 7 5.47 6 4 kW 7 4 kW 4 4 kW BTU/hour Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = O.D. inch 15 13 13 9 15 9 10 9 60 1.8 2.5 7.2 Raw water flow Raw water flow Treated water flow Treated water flow Insulation T, inch 4 3.765 4 5 3.5 2.5 4 2.5 3 2.5 1 kWh = LARGE VILLAGE A, ALASKA 60000 41.6666666666667 57142.8571428571 39.6825396825397 Insulation R ft2-hr-F per BTU-inch 5 5 5 4 5 5 5 5 5 5 3412 gal/day gal/min gal/day gal/min Insulation Effective R 30 28.2375 20 20 26.25 18.75 30 18.75 22.5 18.75 BTU Insulation Effective k (1/R) BTU per ft2-hr-F 3.33333333333333E-02 3.54138999557326E-02 0.05 0.05 3.80952380952381E-02 5.33333333333333E-02 3.33333333333333E-02 5.33333333333333E-02 4.44444444444444E-02 5.33333333333333E-02 Water Temp °F 34 32.6141844311377 50 70 48.3233532934132 48.0484867390967 48.3233532934132 48.1013456918498 48.3233532934132 48.1589032181811 External Temp °F 0 0 0 0 20 20 20 20 20 20 Raw Water Temperature: Running Temperature: System type: Pipeline Area ft2 25525.5 27227.2 5000 10000 25525.5 11781 23562 9424.8 13090 8246.7 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW 34 50 Water loops, buried loops and connections, pitorifices for H.C. loop Heat Loss BTU/hr 28928.9 31447.2925132704 393589.014484302 12500 35000 27541.628742515 17623.4251879092 34120 22245.1616766467 14125.3100200825 20472 16477.8975382568 12384.9614490333 20472 686927.591612016 274771.036644806 80.5307844797205 144.955412063497 579.821648253987 201.326961199301 deg. F deg. F Flow Rate gpm 41.6666666666667 41.6666666666667 41.6666666666667 41.6666666666667 100 25 100 20 100 17.5 Temp Drop °F Efficiency Adusted Fuel Cost $/gal 1.38581556886228 1.50645712638421 1.67664670658683 0.549733108633033 1.40705989524225 0.444015203126681 1.40971157885055 0.328900150464208 1.41259896766847 Fuel Cost $/gal 7.5 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Energy Cost $/d 74.7302 81.2358 1016.734 32.2905 90.4133 71.1466 45.5255 88.1401 57.4645 36.489 52.884 42.5663 31.9933 52.884 1774.4972 54122.1653 649465.9836 Heat/Power Production Efficiency = No. of Services 250 250 250 250 250 250 100 100 100 80 80 80 70 70 70 cost per service 250 250 250 0.65 Energy Cost $/mo-svc 9.1171 9.9108 124.0415 3.9394 11.0304 21.6997 13.8853 26.8827 21.9084 13.9114 20.162 18.5468 13.9399 23.0423 7.098 216.4887 2597.8639 Percent of Total 4.21134634177562E-02 0.045779632230921 0.572970163508304 1.81969688692606E-02 5.09515128339296E-02 4.00939328669022E-02 2.56554335611301E-02 4.96704462255337E-02 3.23835611617287E-02 2.05630261363276E-02 2.98022677353202E-02 0.023987823082762 1.80295006348041E-02 2.98022677353202E-02 Existing Service Area Population = Average Service , ft = Raw Water flow, gal/pers/day Treated water flow, gal/pers/day Description Raw Water Pipeline 1 Raw Water Pipeline 2 Heating all raw water produced Tank Heat Losses WTP Building Loop A Loop A Services (60) Loop A Pumping Loop B Loop B Services (40) Loop B Pumping Note: 1 gpm heated 1 ºF = Assumed Fuel is Fuel Oil No. 1 Water System Energy Use Calculations for 400 50 49 46.6666666666667 Length ft 3000 3000 25' water depth 5,000 sf surface area 6000 3000 10 5000 2000 6 500.5 I.D. inch 7 5.47 6 4 kW 7 4 kW BTU/hour Water use gal per capita day = Water use 1000 gal/cap-mo = Water use 1000 gallons per hour = Water use 1000 gal/svc conn-mo = O.D. inch 15 13 13 9 15 9 49 1.47 0.816666666666667 5.88 Raw water flow Raw water flow Treated water flow Treated water flow Insulation T, inch 4 3.765 4 5 3.5 2.5 4 2.5 1 kWh = MEDIUM VILLAGE B, ALASKA 19600 13.6111111111111 18666.6666666667 12.962962962963 Insulation R ft2-hr-F per BTU-inch 5 5 5 4 5 5 5 5 3412 gal/day gal/min gal/day gal/min Insulation Effective R 30 28.2375 20 20 26.25 18.75 30 18.75 BTU Insulation Effective k (1/R) BTU per ft2-hr-F 3.33333333333333E-02 3.54138999557326E-02 0.05 0.05 3.80952380952381E-02 5.33333333333333E-02 3.33333333333333E-02 5.33333333333333E-02 Water Temp °F 34 32.0420188195039 50 70 47.4337040205304 47.2207177228093 47.4337040205304 47.2545088181208 External Temp °F 0 0 0 0 20 20 20 20 Raw Water Temperature: Running Temperature: System type: Pipeline Area ft2 11781 10210.2 3000 5000 20420.4 7068.6 19635 4712.4 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW 34 50 Water loops, buried loops and connections, pitorifices for H.C. loop Heat Loss BTU/hr 13351.8 11585.8493333651 133776.762475082 7500 17500 21341.227031651 10261.9928157573 34120 17955.3592814371 6849.82119224067 20472 294714.812129533 360875.280158612 105.766494770988 155.476747313353 621.906989253411 86.3759707296404 deg. F deg. F Flow Rate gpm 13.6111111111111 13.6111111111111 13.6111111111111 13.6111111111111 100 15 100 10 Temp Drop °F Efficiency Adusted Fuel Cost $/gal 1.95798118049615 1.69901248931177 2.56629597946963 0.425972595442135 1.36553463948867 0.358390404819104 1.36722977889035 Fuel Cost $/gal 7.5 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 11.5384615384615 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr Energy Cost $/d 34.4909 29.929 345.5772 19.3743 45.2067 55.1295 26.5092 88.1401 46.383 17.6947 52.884 761.3184 23220.2112 278642.5348 Heat/Power Production Efficiency = No. of Services 100 100 100 100 100 100 60 60 60 40 40 40 cost per service 100 100 100 0.65 Energy Cost $/mo-svc 10.5197 9.1283 105.401 5.9092 13.788 28.0241 13.4755 44.8045 35.367 13.4922 40.3241 7.6132 232.2021 2786.4253 Percent of Total 4.53041362377525E-02 3.93120700301719E-02 0.453919372115862 2.54483306957222E-02 5.93794382900185E-02 7.24131470605254E-02 3.48200782363357E-02 0.115772939111739 0.060924522767269 2.32422019875609E-02 6.94637634670434E-02 Pumps and Pipeline Hydraulic and Energy Calculations Pump Station ID No. 1 No. 2 No. 3 No. 4 No. 5 No. 6 No. 7 No. 8 No. 9 No. 10 No. 11 No. 12 No. 13 No. 14 No. 15 No. 16 Pipe IDia inches 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Pipe Area sq. ft. 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 0.111111111111111 Pipe Length feet 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 2000 Avg Flow gpm 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 Peak Factor 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Peak Flow gpm 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 200 Peak Flow cfs 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 0.445037828215398 Peak Flow cms 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 1.26262626262626E-02 H-W C value 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 Peak Flow Velocity fps 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 4.00534045393858 Peak Velocity Head ft 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 1.01050341093203E-02 Peak Friction Head psi 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 39.1816719823958 Peak Friction Head ft 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 90.5096622793343 Total Head m 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 27.6809448444511 Peak Pumping Power kW 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 3.42516741762147 Pumping Efficiency 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 0.6 Minimum Pump Motor kW 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 5.70861236270245 Pumping Energy kWh/d 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 34.2516741762147 BETHEL MODEL SUMMARY WATER & SEWER MODEL ENERGY USE, BTU/h @ 0 degree F Ambient Operating Temperature, deg F Raw Water Energy Raw Water Heating Water Buildings & Tanks Loops & Services Sewage System BETHEL MODEL SUMMARY WATER & SEWER MODEL ENERGY USE, BTU/1,000 gal @ 0 deg F Ambient Operating Temperature, deg F Raw Water Energy Raw Water Heating Water Buildings & Tanks Loops & Services Sewage System Formula's below are not for print: Raw Water Flow Rate 35 36816.9360723859 44926.8263888889 137608.064 529151.448178602 66666.0328955536 35 6835.88477283972 8341.66666666667 25550.0041466811 98248.7602992917 12378.0348869974 89.7638888888889 40 36816.9360723859 269560.958333333 140548.6016 553276.756509622 55000 40 6835.88477283972 50050 26095.9804920316 102728.161505732 10211.9758626025 gal/min 45 36816.9360723859 494195.090277778 143489.1392 590162.940501087 66666.0328955536 45 6835.88477283972 91758.3333333333 26641.956837382 109576.903698175 12378.0348869974 50 36816.9360723859 718829.222222222 146429.6768 620668.68666233 66666.0328955536 50 6835.88477283972 133466.666666667 27187.9331827325 115240.975397617 12378.0348869974 55 36816.9360723859 943463.354166667 149370.2144 651174.432823573 66666.0328955536 55 6835.88477283972 175175 27733.9095280829 120905.047097058 12378.0348869974 60 36816.9360723859 1168097.48611111 152310.752 681680.178984816 66666.0328955536 60 6835.88477283972 216883.333333333 28279.8858734334 126569.1187965 12378.0348869974