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HomeMy WebLinkAboutBethel Model-Avg Temp 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 193936.772854704 36008.6844229683 10.5535417417844 22.7358467590508 107.132262215423 56.8396168976271 31 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 1484338.85138314 275600.591313596 80.7739130461886 174.013933339172 819.960942435891 435.034833347931 31 0.65 31 34 14511.5760723859 44926.8263888889 35502.43008 18046.4707257763 24276.7340716221 56672.7355160305 11666.0328955536 19500 225102.805750257 31 0.65 31 34 14511.5760723859 269560.958333333 38442.96768 18046.4707257763 54782.4802328649 56672.7355160305 11666.0328955536 19500 483183.221455944 31 0.65 31 34 14511.5760723859 494195.090277778 41383.50528 18046.4707257763 85288.2263941078 56672.7355160305 11666.0328955536 19500 741263.637161632 31 0.65 31 34 14511.5760723859 718829.222222222 44324.04288 18046.4707257763 115793.972555351 56672.7355160305 11666.0328955536 19500 999344.052867319 31 0.65 31 34 14511.5760723859 943463.354166667 47264.58048 18046.4707257763 146299.718716594 56672.7355160305 11666.0328955536 19500 1257424.46857301 31 0.65 31 34 14511.5760723859 1168097.48611111 50205.11808 18046.4707257763 176805.464877836 56672.7355160305 11666.0328955536 19500 1515504.88427869 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 6.44664380082669 19.9583591324639 15.771651517924 8.01699057709576 10.7847318875964 25.1763790003163 5.18253553378476 8.66270854999226 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 1.95768082297306 66.6692746686047 5.58283223475811 2.43455497087081 11.5057885101021 7.64542231331294 1.57380347702255 2.63064300235573 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 1.45211011470467 71.9301045680671 4.43531361925109 1.80583160263948 11.5869977134616 5.67099342347863 1.16736902191806 1.95127993647939 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 1.15407139236398 75.0314136353144 3.75884052372851 1.43519322049271 11.6348713082244 4.50704888702744 0.927772060042127 1.55078897280643 Total Energy Use, BTU/h BTU/1000 gal kWh/1000 gal kWh/cap-mo kWh/svc.con-mo Average kW Percent of Total 0.957540699665425 77.0764580324707 3.31276517817989 1.19078934769422 11.6664397925703 3.73952839769328 0.769778640542357 1.28669991118379 Total Cost, $/d Total Cost, $/mo Total Cost, $/yr 193936.772854704 36008.6844229683 10.5535417417844 22.7358467590508 107.132262215423 56.8396168976271 452017.188560391 83927.0658010938 24.5976160026652 52.9914640750751 249.697998259516 132.478660187688 710097.604266078 131845.447179219 38.6416902635461 83.2470813910994 392.26373430361 208.117703477749 968178.019971765 179763.828557345 52.6857645244269 113.502698707124 534.829470347703 283.756746767809 1226258.43567745 227682.20993547 66.7298387853078 143.758316023148 677.395206391797 359.39579005787 1484338.85138314 275600.591313596 80.7739130461886 174.013933339172 819.960942435891 435.034833347931 330.6169 10083.8156 121005.7867 A near perfect system might be as high as 80%. - - - Operating Efficiency Factor (for cost calcs) = 1954.9589 59626.2452 715514.9421 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 330.6169 10083.8156 121005.7867 567.3208 17303.284 207639.408 914.2303 27884.0243 334608.2915 1261.1398 38464.7646 461577.175 1608.0493 49045.5049 588546.0586 1954.9589 59626.2452 715514.9421 0.8655 26.3974 316.7691 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 0.8655 26.3974 316.7691 1.4851 45.2966 543.5587 2.3933 72.9948 875.9379 3.3014 100.6931 1208.3172 4.2096 128.3914 1540.6965 5.1177 156.0896 1873.0758 5.1177 156.0896 1873.0758 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 34.9790428241459 34.9635652275185 34.9790428241459 34.9558264292048 34.9790428241459 34.9661448269564 34.9790428241459 34.957142551367 34.9790428241459 34.9598800854644 31 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 31 34 14511.5760723859 44926.8263888889 35502.43008 18046.4707257763 24276.7340716221 56672.7355160305 11666.0328955536 19500 225102.805750257 External Temp °F AMBIENT 31 DEG F 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 F H-W C value - 125 125 125 125 125 125 External Temp °F 31 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 6.44664380082669 19.9583591324639 15.771651517924 8.01699057709576 10.7847318875964 25.1763790003163 5.18253553378476 8.66270854999226 34 35 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 942.48 44926.8263888889 1176.21504 1176.21504 19500 13650 18046.4707257763 2916.79755181193 1338.58317576802 10149.1895344918 4375.19632771789 2236.97237579819 13705.2622406348 2430.66462650994 1277.15416030755 8963.83196577742 4127.16932501279 981.122316567792 12519.9046719204 3611.27315938619 981.801052741791 11334.5471032061 193936.772854704 36008.6844229683 10.5535417417844 22.7358467590508 107.132262215423 56.8396168976271 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 6650 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 159600 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 2.09571758540786E-02 3.09551932547746E-02 6.21354117703205E-02 4.64327898821619E-02 6.20140933632232E-02 2.57959943789789E-02 6.21758512393529E-02 4.38005455577763E-02 1.73303360812497E-02 3.83254773630543E-02 0.017342325132775 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 10.9128 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 1.9477 92.8453 2.4308 2.4308 40.2985 28.209 29.6147 4.7865 2.1966 16.6551 7.1798 3.6709 22.4907 3.9888 2.0958 14.7099 6.7728 1.61 20.5455 5.9262 1.6112 18.6003 330.6169 10083.8156 121005.7867 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 0.8713 Average Static Head ft 20 15 15 15 15 15 15 19.1443 0.0501 5.79046591527867 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 3.30074487885935E-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 0.1555 7.413 0.1941 0.1941 3.2176 2.2523 2.3645 3.3951 1.5581 11.8135 3.0414 1.555 9.5273 2.9673 1.5591 10.9427 1.8281 0.4346 5.5455 1.5995 0.4349 5.0204 0.8655 26.3974 316.7691 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 6.73505629649298E-02 5.89116842263345E-03 0.280824527789829 7.35217819144655E-03 7.35217819144655E-03 0.121888829727265 8.53221808090852E-02 8.95741290670545E-02 1.44776008749063E-02 6.64409257495272E-03 5.03757674895437E-02 2.17164013123595E-02 1.11032708474672E-02 6.80264272995483E-02 1.20646673957553E-02 6.33918805135196E-03 4.44922142195422E-02 2.04853128025885E-02 4.86982625856506E-03 6.21428740295468E-02 0.017924648702265 4.87319518330253E-03 5.62593207595453E-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 39.9790428241459 39.94411633326 39.9790428241459 39.9266530878171 39.9790428241459 39.9499374150743 39.9790428241459 39.9296230275182 39.9790428241459 39.9358005020967 31 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 31 34 14511.5760723859 269560.958333333 38442.96768 18046.4707257763 54782.4802328649 56672.7355160305 11666.0328955536 19500 483183.221455944 External Temp °F AMBIENT 31 DEG F 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 F H-W C value - 125 125 125 125 125 125 External Temp °F 31 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 3.00332781189279 55.7885593628609 7.95618845459127 3.73491253926368 11.3378275155732 11.7290363157194 2.41441183748083 4.03573616261797 34 40 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 942.48 269560.958333333 2646.48384 2646.48384 19500 13650 18046.4707257763 6581.99755181193 3020.62485630124 10149.1895344918 9872.99632771789 5047.91520132349 13705.2622406348 5484.99795984327 2882.00514677775 8963.83196577742 9313.30265834613 2213.98453988199 12519.9046719204 8149.13982605286 2215.51616480838 11334.5471032061 452017.188560391 83927.0658010938 24.5976160026652 52.9914640750751 249.697998259516 132.478660187688 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 6650 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 159600 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 2.09571758540786E-02 6.98529817718145E-02 0.14021375185913 0.104779472657722 0.13993998672997 5.82108181431787E-02 0.140305006902183 9.88395932553566E-02 3.91073523728118E-02 0.086484644098437 3.91344066699943E-02 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 7.2752 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 1.2985 371.3813 3.6461 3.6461 26.8657 18.806 19.7431 7.2008 3.3046 11.1034 10.8012 5.5225 14.9938 6.0007 3.153 9.8066 10.1889 2.4221 13.697 8.9153 2.4238 12.4002 567.3208 17303.284 207639.408 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 0.5809 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 2.24966891798014 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 1.28238094633437E-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 0.1037 29.6522 0.2911 0.2911 2.145 1.5015 1.5764 5.1076 2.344 7.8757 4.5755 2.3394 6.3515 4.4639 2.3455 7.2951 2.7501 0.6538 3.697 2.4063 0.6542 3.347 1.4851 45.2966 543.5587 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 2.61665417476816E-02 2.28879311006993E-03 0.654623190070007 6.42693105307635E-03 6.42693105307635E-03 4.73553450963029E-02 0.033148741567412 3.48006770034836E-02 1.26926740590423E-02 5.82495001766123E-03 1.95716199695766E-02 1.90390110885634E-02 9.73436131261488E-03 2.64291235517383E-02 1.05772283825352E-02 5.55763682325622E-03 1.72857854421894E-02 1.79597020699374E-02 4.26943096153916E-03 2.41432890243511E-02 1.57147393111952E-02 4.27238453540764E-03 2.18574544969639E-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 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 44.9790428241459 44.9246674390015 44.9790428241459 44.8974797464293 44.9790428241459 44.9337300031922 44.9790428241459 44.9021035036695 44.9790428241459 44.911720918729 31 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 31 34 14511.5760723859 494195.090277778 41383.50528 18046.4707257763 85288.2263941078 56672.7355160305 11666.0328955536 19500 741263.637161632 External Temp °F AMBIENT 31 DEG F 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 F H-W C value - 125 125 125 125 125 125 External Temp °F 31 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 1.95768082297306 66.6692746686047 5.58283223475811 2.43455497087081 11.5057885101021 7.64542231331294 1.57380347702255 2.63064300235573 34 45 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 942.48 494195.090277778 4116.75264 4116.75264 19500 13650 18046.4707257763 10247.1975518119 4702.66653683446 10149.1895344918 15370.7963277179 7858.8580268488 13705.2622406348 8539.3312931766 4486.85613324794 8963.83196577742 14499.4359916795 3446.84676319619 12519.9046719204 12687.0064927195 3449.23127687498 11334.5471032061 710097.604266078 131845.447179219 38.6416902635461 83.2470813910994 392.26373430361 208.117703477749 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 6650 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 159600 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 2.09571758540786E-02 0.108750770288854 0.21829209194794 0.163126155433282 0.217865880096718 9.06256419073786E-02 0.218434162565014 0.153878640952937 6.08843686643738E-02 0.13464381083382 6.09264882072135E-02 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 7.2752 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 1.2985 680.8658 5.6718 5.6718 26.8657 18.806 19.7431 11.2106 5.1448 11.1034 16.8159 8.5977 14.9938 9.3422 4.9087 9.8066 15.8626 3.7709 13.697 13.8798 3.7735 12.4002 914.2303 27884.0243 334608.2915 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 0.5809 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 1.39602016493049 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 7.9577472307027E-03 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 0.1037 54.3623 0.4528 0.4528 2.145 1.5015 1.5764 7.9517 3.6492 7.8757 7.1234 3.6421 6.3515 6.9497 3.6516 7.2951 4.2815 1.0178 3.697 3.7463 1.0185 3.347 2.3933 72.9948 875.9379 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 1.62375092771681E-02 1.42029847568877E-03 0.744742098945763 6.20386374180856E-03 6.20386374180856E-03 2.93861092818214E-02 0.020570276497275 2.15953763070682E-02 0.012262347058706 5.62746340006206E-03 1.21450654002975E-02 0.018393520588059 9.40433168415665E-03 1.64004530287918E-02 1.02186225489217E-02 5.36921307803237E-03 1.07266028574661E-02 1.73508040014343E-02 4.12468199766633E-03 1.49819904859604E-02 0.015181953501255 4.12753543482782E-03 0.013563527943129 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 49.9790428241459 49.905218544743 49.9790428241459 49.8683064050415 49.9790428241459 49.9175225913101 49.9790428241459 49.8745839798207 49.9790428241459 49.8876413353613 31 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 31 34 14511.5760723859 718829.222222222 44324.04288 18046.4707257763 115793.972555351 56672.7355160305 11666.0328955536 19500 999344.052867319 External Temp °F AMBIENT 31 DEG F 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 F H-W C value - 125 125 125 125 125 125 External Temp °F 31 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 1.45211011470467 71.9301045680671 4.43531361925109 1.80583160263948 11.5869977134616 5.67099342347863 1.16736902191806 1.95127993647939 34 50 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 942.48 718829.222222222 5587.02144 5587.02144 19500 13650 18046.4707257763 13912.3975518119 6384.70821736769 10149.1895344918 20868.5963277179 10669.8008523741 13705.2622406348 11593.6646265099 6091.70711971814 8963.83196577742 19685.5693250128 4679.7089865104 12519.9046719204 17224.8731593862 4682.94638894157 11334.5471032061 968178.019971765 179763.828557345 52.6857645244269 113.502698707124 534.829470347703 283.756746767809 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 6650 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 159600 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 2.09571758540786E-02 0.147648558805894 0.296370432036749 0.221472838208841 0.295791773463465 0.123040465671579 0.296563318227844 0.208917688650517 8.26613849559358E-02 0.182802977569202 8.27185697444327E-02 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 7.2752 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 1.2985 990.3502 7.6974 7.6974 26.8657 18.806 19.7431 15.2204 6.985 11.1034 22.8306 11.6729 14.9938 12.6837 6.6644 9.8066 21.5363 5.1197 13.697 18.8443 5.1232 12.4002 1261.1398 38464.7646 461577.175 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 0.5809 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 1.0120082785065 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 5.76876056524172E-03 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 0.1037 79.0725 0.6146 0.6146 2.145 1.5015 1.5764 10.7959 4.9545 7.8757 9.6713 4.9448 6.3515 9.4354 4.9577 7.2951 5.8129 1.3819 3.697 5.0863 1.3828 3.347 3.3014 100.6931 1208.3172 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 1.17709573426099E-02 1.02960820441928E-03 0.785281878423236 6.1035174357975E-03 6.1035174357975E-03 2.13026907586113E-02 1.49118835310279E-02 1.56550028067139E-02 1.20687654683997E-02 5.53862450901135E-03 8.80424727153986E-03 1.81031482025996E-02 9.25586863100125E-03 1.18890791503865E-02 1.00573045569998E-02 5.28445109883192E-03 7.77596997859097E-03 1.70768926355588E-02 4.05956701626894E-03 1.08608018574376E-02 1.49422810561139E-02 4.06237540716801E-03 9.83252456448874E-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 54.9790428241459 54.8857696504845 54.9790428241459 54.8391330636537 54.9790428241459 54.901315179428 54.9790428241459 54.8470644559719 54.9790428241459 54.8635617519936 31 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 31 34 14511.5760723859 943463.354166667 47264.58048 18046.4707257763 146299.718716594 56672.7355160305 11666.0328955536 19500 1257424.46857301 External Temp °F AMBIENT 31 DEG F 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 F H-W C value - 125 125 125 125 125 125 External Temp °F 31 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 1.15407139236398 75.0314136353144 3.75884052372851 1.43519322049271 11.6348713082244 4.50704888702744 0.927772060042127 1.55078897280643 34 55 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 942.48 943463.354166667 7057.29024 7057.29024 19500 13650 18046.4707257763 17577.5975518119 8066.74989790091 10149.1895344918 26366.3963277179 13480.7436778994 13705.2622406348 14647.9979598433 7696.55810618834 8963.83196577742 24871.7026583461 5912.5712098246 12519.9046719204 21762.7398260529 5916.66150100816 11334.5471032061 1226258.43567745 227682.20993547 66.7298387853078 143.758316023148 677.395206391797 359.39579005787 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 6650 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 159600 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 2.09571758540786E-02 0.186546347322934 0.374448772125559 0.279819520984401 0.373717666830212 0.155455289435778 0.374692473890674 0.263956736348097 0.104438401247498 0.230962144304585 0.104510651281652 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 7.2752 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 1.2985 1299.8347 9.723 9.723 26.8657 18.806 19.7431 19.2302 8.8252 11.1034 28.8453 14.7482 14.9938 16.0252 8.4202 9.8066 27.2101 6.4685 13.697 23.8088 6.4729 12.4002 1608.0493 49045.5049 588546.0586 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 0.5809 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 0.793684564722655 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 4.52424779070985E-03 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 0.1037 103.7826 0.7763 0.7763 2.145 1.5015 1.5764 13.64 6.2597 7.8757 12.2192 6.2475 6.3515 11.9212 6.2638 7.2951 7.3443 1.7459 3.697 6.4263 1.7471 3.347 4.2096 128.3914 1540.6965 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 9.2315718687852E-03 8.07487603525712E-04 0.808330110846248 6.04646717520053E-03 6.04646717520053E-03 1.67069945980301E-02 0.011694896218621 1.22777000467975E-02 1.19587078029732E-02 5.48811660207325E-03 6.90487944795787E-03 1.79380617044598E-02 9.17146237621988E-03 9.32421088921668E-03 9.96558983581102E-03 5.23626105383347E-03 6.09843563420493E-03 1.69211647824383E-02 4.02254695240054E-03 8.51776707546375E-03 1.48060191846335E-02 4.02532973297958E-03 7.71132326171081E-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 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 59.9790428241459 59.8663207562259 59.9790428241459 59.8099597222659 59.9790428241459 59.8851077675459 59.9790428241459 59.8195449321231 59.9790428241459 59.8394821686259 31 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 31 34 14511.5760723859 1168097.48611111 50205.11808 18046.4707257763 176805.464877836 56672.7355160305 11666.0328955536 19500 1515504.88427869 External Temp °F AMBIENT 31 DEG F 31 31 31 31 31 31 31 31 31 31 31 31 31 31 31 F H-W C value - 125 125 125 125 125 125 External Temp °F 31 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 0.957540699665425 77.0764580324707 3.31276517817989 1.19078934769422 11.6664397925703 3.73952839769328 0.769778640542357 1.28669991118379 34 60 Water loops, Above ground arctic pipe w/ 4" insulation, pitorifices for H.C. loop Heat Loss BTU/hr 13569.0960723859 942.48 1168097.48611111 8527.55904 8527.55904 19500 13650 18046.4707257763 21242.7975518119 9748.79157843413 10149.1895344918 31864.1963277179 16291.6865034247 13705.2622406348 17702.3312931766 9301.40909265854 8963.83196577742 30057.8359916795 7145.4334331388 12519.9046719204 26300.6064927195 7150.37661307475 11334.5471032061 1484338.85138314 275600.591313596 80.7739130461886 174.013933339172 819.960942435891 435.034833347931 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 6650 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 159600 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 2.09571758540786E-02 0.225444135839974 0.452527112214368 0.338166203759961 0.45164356019696 0.187870113199978 0.452821629553505 0.318995784045678 0.12621541753906 0.279121311039968 0.126302732818871 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 7.2752 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 1.2985 1609.3192 11.7486 11.7486 26.8657 18.806 19.7431 23.24 10.6653 11.1034 34.86 17.8234 14.9938 19.3667 10.1759 9.8066 32.8838 7.8172 13.697 28.7733 7.8226 12.4002 1954.9589 59626.2452 715514.9421 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 0.5809 Average Static Head ft 20 15 15 15 15 15 15 12.7628 0.0334 0.652844398955211 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 3.72141523337111E-03 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 0.1037 128.4928 0.938 0.938 2.145 1.5015 1.5764 16.4842 7.565 7.8757 14.7671 7.5502 6.3515 14.4069 7.5699 7.2951 8.8757 2.11 3.697 7.7662 2.1114 3.347 5.1177 156.0896 1873.0758 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 7.59341967321098E-03 6.64198073918369E-04 0.82319847681 6.0096641728134E-03 6.0096641728134E-03 1.37423207297855E-02 9.61962451084982E-03 1.00990091830812E-02 1.18877098358995E-02 5.45553405818719E-03 5.67960128421478E-03 1.78315647538492E-02 9.11701207987238E-03 7.66961980145024E-03 9.90642486324956E-03 5.20517375777986E-03 5.01626177846962E-03 1.68207050739258E-02 3.99866538753714E-03 7.00628029570509E-03 1.47181169396851E-02 4.00143164695292E-03 6.34294078995994E-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 14511.5760723859 44926.8263888889 35502.43008 98995.9403134288 31166.0328955536 35 2694.39753780954 8341.66666666667 6591.81743710351 18380.8027813886 5786.66864840852 89.7638888888889 40 14511.5760723859 269560.958333333 38442.96768 123121.248644449 19500 40 2694.39753780954 50050 7137.79378245397 22860.203987829 3620.60962401362 gal/min 45 14511.5760723859 494195.090277778 41383.50528 160007.432635915 31166.0328955536 45 2694.39753780954 91758.3333333333 7683.77012780443 29708.9461802719 5786.66864840852 50 14511.5760723859 718829.222222222 44324.04288 190513.178797157 31166.0328955536 50 2694.39753780954 133466.666666667 8229.74647315488 35373.0178797136 5786.66864840852 55 14511.5760723859 943463.354166667 47264.58048 221018.9249584 31166.0328955536 55 2694.39753780954 175175 8775.72281850534 41037.0895791552 5786.66864840852 60 14511.5760723859 1168097.48611111 50205.11808 251524.671119643 31166.0328955536 60 2694.39753780954 216883.333333333 9321.69916385579 46701.1612785969 5786.66864840852