Piping Heat Loss Calculations

0.5SymbolDescriptionValueUnitsPIPE NPS (std)0.5in.INSULATION THICKNESS1in.56.04General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter0.622inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter0.840in00.36.355.00.000000.001839.232185.3200.253-5.8-2.70.000330.0237815.80hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.332.00.010530.001839.232185.3200.253-3.4-6.20.000750.0207935.66LPipe Length "L"1ft2-1.66.332.00.027000.001839.232185.3200.253-3.5-9.70.001180.0171856.04pdensity of ice57.24lb/ft3Heat Trace Calculation:TwInitial water temp in pipe55.00FHT2.427.940.00.000000.001839.2321812.9920.104-4.0N/AN/AN/AN/AVwWind speed6.3mphvfSp. Vol. of water in pipe @ Tf0.016029ft3/lbmXinsInsulation Thickness1inConduction InputskiceIce Thermal Cond.1.3BTU/hr-ft-Fkinsinsul. Therm. Cond.0.021BTU/hr-ft-Fkpipepipe thermal cond26.2BTU/hr-ft-FConvection Calculation InputsCZukauskas Eq Constant0.26unitlesskairThermal Conductivity of Air0.01416BTU/hr-ft-FmZukauskas Eq Constant0.6unitlessnZukauskas Eq Constant0.37unitlessPrPrandtl Number at amb temp0.728unitlessPrsPrandtl Number at surface temp0.728unitlessvKinematic Viscosity at amb temp0.0001075ft2/sRadiant Calculation Inputseemissivity0.8unitlessSStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4Calculated Valuesr2inside radius of pipe0.02592ftr3outside radius of pipe0.03500ftr4outside radius of insulation0.11833ftVwWind Velocity9.24000ft/sat -6FDinsInsulation OD0.23667ftat 0FReReynolds No. for Zukauskas Eq.20342unitlessVfVolume of fluid per lineal foot0.0021101249ft3/ftmfMass of fluid in pipe0.13lbmQwAvailable Water Energy3.03BTU

&RCalculation No.: 25247-000-M0C-EH-00001Attachment 2Page &P of &N

0.75SymbolDescriptionValueUnitsPIPE NPS (std)0.75in.INSULATION THICKNESS1in.43.84General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter0.824inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter1.050in00.36.355.00.000000.001478.081675.1710.242-6.6-1.30.000150.033624.13hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.332.00.002580.001478.081675.1710.242-3.9-5.20.000630.0312717.04LPipe Length "L"1ft2-1.66.332.00.011430.001478.081675.1710.242-4.0-9.20.001120.0286730.29pdensity of ice57.24lb/ft33-2.46.332.00.022090.001478.081675.1710.242-4.1-13.30.001620.0257343.84TwInitial water temp in pipe55.00FHeat Trace Calculation:VwWind speed6.3mphHT2.427.940.00.000000.001478.0816712.6270.099-4.6N/AN/AN/AN/AvfSp. Vol. of water in pipe @ Tf0.016029ft3/lbmXinsInsulation Thickness1inConduction InputskiceIce Thermal Cond.1.3BTU/hr-ft-Fkinsinsul. Therm. Cond.0.021BTU/hr-ft-Fkpipepipe thermal cond26.2BTU/hr-ft-FConvection Calculation InputsCZukauskas Eq Constant0.26unitlesskairThermal Conductivity of Air0.01416BTU/hr-ft-FmZukauskas Eq Constant0.6unitlessnZukauskas Eq Constant0.37unitlessPrPrandtl Number at amb temp0.728unitlessPrsPrandtl Number at surface temp0.728unitlessvKinematic Viscosity at amb temp0.0001075ft2/sRadiant Calculation Inputseemissivity0.8unitlessSStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4Calculated Valuesr2inside radius of pipe0.03433ftr3outside radius of pipe0.04375ftr4outside radius of insulation0.12708ftVwWind Velocity9.24000ft/sat -6FDinsInsulation OD0.25417ftat 0FReReynolds No. for Zukauskas Eq.21847unitlessVfVolume of fluid per lineal foot0.0037032396ft3/ftmfMass of fluid in pipe0.23lbmQwAvailable Water Energy5.31BTU


1SymbolDescriptionValueUnitsPIPE NPS (std)1in.INSULATION THICKNESS1in.46.44General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter1.049inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter1.315in00.36.355.00.000000.001377.007525.0010.230-7.61.10.000000.043710.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.334.80.000000.001377.007525.0010.230-4.9-3.80.000470.041977.80LPipe Length "L"1ft2-1.66.332.00.004970.001377.007525.0010.230-4.6-8.50.001030.0397717.22pdensity of ice57.24lb/ft33-2.46.332.00.011570.001377.007525.0010.230-4.7-13.20.001610.0373826.84TwInitial water temp in pipe55F4-3.06.332.00.019130.001377.007525.0010.230-4.8-18.10.002200.0348036.62VwWind speed6.3mph5-3.26.332.00.027910.001377.007525.0010.230-4.8-22.90.002790.0319946.44vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbmHeat Trace Calculation:XinsInsulation Thickness1inHT2.427.940.00.000000.001377.0075212.2130.094-5.3N/AN/AN/AN/AConduction InputskiceIce Thermal Cond.1.3BTU/hr-ft-Fkinsinsul. Therm. Cond.0.021BTU/hr-ft-Fkpipepipe thermal cond26.2BTU/hr-ft-FConvection Calculation InputsCZukauskas Eq Constant0.26unitlesskairThermal Conductivity of Air0.01416BTU/hr-ft-FmZukauskas Eq Constant0.6unitlessnZukauskas Eq Constant0.37unitlessPrPrandtl Number at amb temp0.728unitlessPrsPrandtl Number at surface temp0.728unitlessvKinematic Viscosity at amb temp0.0001075ft2/sRadiant Calculation Inputseemissivity0.8unitlessSStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4Calculated Valuesr2inside radius of pipe0.04371ftr3outside radius of pipe0.05479ftr4outside radius of insulation0.13813ftVwWind Velocity9.24000ft/sat -6FDinsInsulation OD0.27625ftat 0FReReynolds No. for Zukauskas Eq.23745unitlessVfVolume of fluid per lineal foot0.0060017564ft3/ftmfMass of fluid in pipe0.37lbmQwAvailable Water Energy8.61BTU


1.25SymbolDescriptionValueUnitsPIPE NPS (std)1.25in.INSULATION THICKNESS1in.45.78General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter1.380inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter1.660in00.36.355.00.000000.001125.992154.8070.217-8.86.10.000000.057500.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.341.40.000000.001125.992154.8070.217-6.8-0.70.000080.057270.79LPipe Length "L"1ft2-1.66.332.00.000490.001125.992154.8070.217-5.4-6.10.000740.055417.14pdensity of ice57.24lb/ft33-2.46.332.00.004530.001125.992154.8070.217-5.5-11.60.001420.0534413.63TwInitial water temp in pipe55F4-3.06.332.00.008970.001125.992154.8070.217-5.6-17.30.002100.0513620.22VwWind speed6.3mph5-3.26.332.00.013830.001125.992154.8070.217-5.7-22.90.002790.0491826.85vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.332.00.019140.001125.992154.8070.217-5.6-28.50.003470.0469333.39XinsInsulation Thickness1in7-1.86.332.00.024880.001125.992154.8070.217-5.4-33.90.004130.0446339.758-0.16.332.00.031020.001125.992154.8070.217-5.1-39.10.004750.0423445.78Conduction InputsHeat Trace Calculation:kiceIce Thermal Cond.1.3BTU/hr-ft-FHT2.427.940.00.000000.001125.9921511.7390.089-6.2N/AN/AN/AN/Akinsinsul. Therm. Cond.0.021BTU/hr-ft-Fkpipepipe thermal cond26.2BTU/hr-ft-FConvection Calculation InputsCZukauskas Eq Constant0.26unitlesskairThermal Conductivity of Air0.01416BTU/hr-ft-FmZukauskas Eq Constant0.6unitlessnZukauskas Eq Constant0.37unitlessPrPrandtl Number at amb temp0.728unitlessPrsPrandtl Number at surface temp0.728unitlessvKinematic Viscosity at amb temp0.0001075ft2/sRadiant Calculation Inputseemissivity0.8unitlessSStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4Calculated Valuesr2inside radius of pipe0.05750ftr3outside radius of pipe0.06917ftr4outside radius of insulation0.15250ftVwWind Velocity9.24000ft/sat -6FDinsInsulation OD0.30500ftat 0FReReynolds No. for Zukauskas Eq.26216unitlessVfVolume of fluid per lineal foot0.0103868907ft3/ftmfMass of fluid in pipe0.65lbmQwAvailable Water Energy14.90BTU


1.5SymbolDescriptionValueUnitsPIPE NPS (std)1.5in.INSULATION THICKNESS1in.42.92General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter1.610inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter1.900in00.36.355.00.000000.001015.450094.6860.209-9.710.60.000000.067080.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.344.00.000000.001015.450094.6860.209-7.92.70.000000.067080.00LPipe Length "L"1ft2-1.66.335.10.000000.001015.450094.6860.209-6.5-3.80.000460.065993.24pdensity of ice57.24lb/ft33-2.46.332.00.002020.001015.450094.6860.209-6.1-9.80.001200.064188.47TwInitial water temp in pipe55F4-3.06.332.00.005420.001015.450094.6860.209-6.2-16.00.001950.0622913.79VwWind speed6.3mph5-3.26.332.00.009080.001015.450094.6860.209-6.2-22.20.002710.0603219.13vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.332.00.013000.001015.450094.6860.209-6.1-28.40.003450.0583224.42XinsInsulation Thickness1in7-1.86.332.00.017140.001015.450094.6860.209-6.0-34.30.004180.0563129.558-0.16.332.00.021440.001015.450094.6860.209-5.6-40.00.004860.0543334.41Conduction Inputs92.46.332.00.025820.001015.450094.6860.209-5.2-45.20.005500.0524438.89kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.332.00.030140.001015.450094.6860.209-4.7-49.80.006070.0506842.92kinsinsul. Therm. Cond.0.021BTU/hr-ft-FHeat Trace Calculation:kpipepipe thermal cond26.2BTU/hr-ft-FHT2.427.940.00.000000.001015.4500911.4440.086-6.8N/AN/AN/AN/AConvection Calculation InputsCZukauskas Eq Constant0.26unitlesskairThermal Conductivity of Air0.01416BTU/hr-ft-FmZukauskas Eq Constant0.6unitlessnZukauskas Eq Constant0.37unitlessPrPrandtl Number at amb temp0.728unitlessPrsPrandtl Number at surface temp0.728unitlessvKinematic Viscosity at amb temp0.0001075ft2/sRadiant Calculation Inputseemissivity0.8unitlessSStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4Calculated Valuesr2inside radius of pipe0.06708ftr3outside radius of pipe0.07917ftr4outside radius of insulation0.16250ftVwWind Velocity9.24000ft/sat -6FDinsInsulation OD0.32500ftat 0FReReynolds No. for Zukauskas Eq.27935unitlessVfVolume of fluid per lineal foot0.0141377124ft3/ftmfMass of fluid in pipe0.88lbmQwAvailable Water Energy20.29BTU


2SymbolDescriptionValueUnitsPIPE NPS (std)2in.INSULATION THICKNESS1in.47.03General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter2.067inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter2.375in00.36.355.00.000000.000844.629964.4760.195-11.322.10.000000.086130.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.347.20.000000.000844.629964.4760.195-9.912.20.000000.086130.00LPipe Length "L"1ft2-1.66.340.40.000000.000844.629964.4760.195-8.73.50.000000.086130.00pdensity of ice57.24lb/ft33-2.46.334.40.000000.000844.629964.4760.195-7.6-4.10.000500.085192.17TwInitial water temp in pipe55F4-3.06.332.00.001340.000844.629964.4760.195-7.2-11.40.001390.083525.95VwWind speed6.3mph5-3.26.332.00.003760.000844.629964.4760.195-7.3-18.70.002270.081829.76vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.332.00.006290.000844.629964.4760.195-7.2-25.90.003150.0800913.52XinsInsulation Thickness1in7-1.86.332.00.008890.000844.629964.4760.195-7.0-32.90.004000.0783817.178-0.16.332.00.011540.000844.629964.4760.195-6.6-39.50.004810.0767220.64Conduction Inputs92.46.332.00.014150.000844.629964.4760.195-6.1-45.60.005550.0751723.83kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.332.00.016660.000844.629964.4760.195-5.5-51.10.006220.0737326.71kinsinsul. Therm. Cond.0.021BTU/hr-ft-F118.66.332.00.019020.000844.629964.4760.195-4.8-55.90.006810.0724529.23kpipepipe thermal cond26.2BTU/hr-ft-F1211.76.332.00.021160.000844.629964.4760.195-4.2-60.10.007320.0713331.411314.16.332.00.023080.000844.629964.4760.195-3.7-63.80.007770.0703133.35Convection Calculation Inputs1415.66.332.00.024830.000844.629964.4760.195-3.4-67.20.008180.0693835.11CZukauskas Eq Constant0.26unitless1516.26.332.00.026480.000844.629964.4760.195-3.3-70.50.008580.0684636.82kairThermal Conductivity of Air0.01416BTU/hr-ft-F1615.86.332.00.028100.000844.629964.4760.195-3.3-73.80.008990.0675138.56mZukauskas Eq Constant0.6unitless1714.86.332.00.029820.000844.629964.4760.195-3.5-77.40.009420.0664840.41nZukauskas Eq Constant0.37unitless1813.36.332.00.031690.000844.629964.4760.195-3.9-81.20.009890.0653542.43PrPrandtl Number at amb temp0.728unitless1911.56.332.00.033800.000844.629964.4760.195-4.2-85.40.010400.0640944.63PrsPrandtl Number at surface temp0.728unitless209.76.332.00.036190.000844.629964.4760.195-4.6-90.00.010960.0626847.03vKinematic Viscosity at amb temp0.0001075ft2/sHeat Trace Calculation:HT2.427.940.00.000000.000844.6299610.9300.080-8.0N/AN/AN/AN/ARadiant Calculation Inputseemissivity0.8unitlessSStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4Calculated Valuesr2inside radius of pipe0.08613ftr3outside radius of pipe0.09896ftr4outside radius of insulation0.18229ftVwWind Velocity9.24000ft/sat -6FDinsInsulation OD0.36458ftat 0FReReynolds No. for Zukauskas Eq.31337unitlessVfVolume of fluid per lineal foot0.0233028126ft3/ftmfMass of fluid in pipe1.45lbmQwAvailable Water Energy33.44BTU


3SymbolDescriptionValueUnitsPIPE NPS (std)3in.INSULATION THICKNESS1in.35.76General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter3.068inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter3.500in00.36.355.00.000000.000803.425514.0840.170-15.258.50.000000.127830.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.350.30.000000.000803.425514.0840.170-14.244.30.000000.127830.00LPipe Length "L"1ft2-1.66.345.80.000000.000803.425514.0840.170-13.231.10.000000.127830.00pdensity of ice57.24lb/ft33-2.46.341.70.000000.000803.425514.0840.170-12.318.80.000000.127830.00TwInitial water temp in pipe55F4-3.06.337.90.000000.000803.425514.0840.170-11.47.50.000000.127830.00VwWind speed6.3mph5-3.26.334.30.000000.000803.425514.0840.170-10.4-3.00.000360.127380.70vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.332.00.000430.000803.425514.0840.170-9.7-12.60.001540.125903.00XinsInsulation Thickness1in7-1.86.332.00.001860.000803.425514.0840.170-9.4-22.00.002680.124455.228-0.16.332.00.003280.000803.425514.0840.170-8.9-30.90.003770.123057.34Conduction Inputs92.46.332.00.004670.000803.425514.0840.170-8.2-39.20.004770.121759.29kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.332.00.005970.000803.425514.0840.170-7.4-46.60.005670.1205711.04kinsinsul. Therm. Cond.0.021BTU/hr-ft-F118.66.332.00.007160.000803.425514.0840.170-6.5-53.00.006460.1195212.58kpipepipe thermal cond26.2BTU/hr-ft-F1211.76.332.00.008230.000803.425514.0840.170-5.6-58.70.007140.1186113.911314.16.332.00.009170.000803.425514.0840.170-5.0-63.60.007750.1177915.09Convection Calculation Inputs1415.66.332.00.010020.000803.425514.0840.170-4.5-68.20.008300.1170416.17CZukauskas Eq Constant0.26unitless1516.26.332.00.010800.000803.425514.0840.170-4.4-72.60.008840.1163117.21kairThermal Conductivity of Air0.01416BTU/hr-ft-F1615.86.332.00.011560.000803.425514.0840.170-4.5-77.10.009380.1155618.28mZukauskas Eq Constant0.6unitless1714.86.332.00.012360.000803.425514.0840.170-4.8-81.80.009960.1147619.41nZukauskas Eq Constant0.37unitless1813.36.332.00.013210.000803.425514.0840.170-5.2-87.00.010600.1138820.64PrPrandtl Number at amb temp0.728unitless1911.56.332.00.014150.000803.425514.0840.170-5.7-92.70.011290.1129121.98PrsPrandtl Number at surface temp0.728unitless209.76.332.00.015200.000803.425514.0840.170-6.2-98.90.012040.1118523.45vKinematic Viscosity at amb temp0.0001075ft2/s218.26.332.00.016360.000803.425514.0840.170-6.6-105.50.012840.1107025.01226.86.332.00.017620.000803.425514.0840.170-7.0-112.40.013690.1094726.66Radiant Calculation Inputs235.76.332.00.018980.000803.425514.0840.170-7.3-119.70.014570.1081828.39eemissivity0.8unitless244.96.332.00.020440.000803.425514.0840.170-7.5-127.20.015490.1068230.17SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4254.26.332.00.021980.000803.425514.0840.170-7.7-134.90.016420.1054231.99263.56.332.00.023600.000803.425514.0840.170-7.9-142.80.017380.1039633.86Calculated Values273.06.332.00.025300.000803.425514.0840.170-8.0-150.80.018360.1024635.76r2inside radius of pipe0.12783ftHeat Trace Calculation:r3outside radius of pipe0.14583ftHT2.427.940.00.000000.000803.425519.9740.070-10.8N/AN/AN/AN/Ar4outside radius of insulation0.22917ftVwWind Velocity9.24000ft/sat -6FDinsInsulation OD0.45833ftat 0FReReynolds No. for Zukauskas Eq.39395unitlessVfVolume of fluid per lineal foot0.0513379ft3/ftmfMass of fluid in pipe3.20lbmQwAvailable Water Energy73.67BTU


3>85SymbolDescriptionValueUnitsPIPE NPS (std)3in.INSULATION THICKNESS3in.0.00General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter3.068inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter3.500in013.510.485.00.000000.000807.567664.4340.091-9.30.00.000000.000000.00hsfWater Latent Heat of Fusion143.5BTU/lbm112.710.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00LPipe Length "L"1ft211.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00pdensity of ice57.24lb/ft3311.210.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00TwInitial water temp in pipe85F410.710.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00VwWind speed10.4mph510.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00vfSp. Vol. of water in pipe @ Tf0.000000ft3/lbm610.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00XinsInsulation Thickness3in711.710.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00813.210.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00Conduction Inputs915.410.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00kiceIce Thermal Cond.1.3BTU/hr-ft-F1017.910.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00kinsinsul. Therm. Cond.0.021BTU/hr-ft-F1120.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00kpipepipe thermal cond26.2BTU/hr-ft-F1223.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.001325.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00Convection Calculation Inputs1426.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00CZukauskas Eq Constant0.26unitless1527.310.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00kairThermal Conductivity of Air0.01416BTU/hr-ft-F1626.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00mZukauskas Eq Constant0.6unitless1724.410.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00nZukauskas Eq Constant0.37unitless1821.210.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00PrPrandtl Number at amb temp0.728unitless1917.410.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00PrsPrandtl Number at surface temp0.728unitless2013.610.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00vKinematic Viscosity at amb temp0.0001075ft2/s2110.310.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00227.410.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00Radiant Calculation Inputs235.010.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00eemissivity0.8unitless243.310.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4251.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00260.326.20.00.000000.000807.567667.7190.0520.00.00.000000.000000.00Calculated Values27-0.826.40.00.000000.000807.567667.7610.0520.00.00.000000.000000.00r2inside radius of pipe0.12783ft28-1.726.40.00.000000.000807.567667.7610.0520.00.00.000000.000000.00r3outside radius of pipe0.14583ft29-2.026.40.00.000000.000807.567667.7610.0520.00.00.000000.000000.00r4outside radius of insulation0.39583ft30-1.426.40.00.000000.000807.567667.7610.0520.00.00.000000.000000.00VwWind Velocity15.25333ft/sat -6F310.126.40.00.000000.000807.567667.7610.0520.00.00.000000.000000.00DinsInsulation OD0.79167ftat 0F322.726.20.00.000000.000807.567667.7190.0520.00.00.000000.000000.00ReReynolds No. for Zukauskas Eq.112331unitless336.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00VfVolume of fluid per lineal foot0.0513379ft3/ft3410.910.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00mfMass of fluid in pipe0.00lbm3515.910.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00QwAvailable Water Energy0.00BTU3620.610.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.003724.110.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.003826.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.003927.310.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004026.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004125.710.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004223.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004321.610.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004419.410.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004517.610.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004615.910.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004714.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004813.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.004912.710.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005011.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005111.210.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005210.710.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005310.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005410.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005511.710.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005613.210.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005715.410.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005817.910.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.005920.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006023.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006125.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006226.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006327.310.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006426.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006525.710.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006623.810.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006721.610.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006819.410.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.006917.610.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.007015.910.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.007114.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.007213.510.40.00.000000.000807.567664.4340.0910.00.00.000000.000000.00




4SymbolDescriptionValueUnitsPIPE NPS (std)4in.INSULATION THICKNESS1in.62.34General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter4.026inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter4.500in00.36.355.00.000000.000682.786923.8200.154-18.6108.30.000000.167750.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.351.60.000000.000682.786923.8200.154-17.890.50.000000.167750.00LPipe Length "L"1ft2-1.66.348.40.000000.000682.786923.8200.154-17.073.50.000000.167750.00pdensity of ice57.24lb/ft33-2.46.345.30.000000.000682.786923.8200.154-16.257.20.000000.167750.00TwInitial water temp in pipe55F4-3.06.342.40.000000.000682.786923.8200.154-15.441.80.000000.167750.00VwWind speed6.3mph5-3.26.339.60.000000.000682.786923.8200.154-14.527.30.000000.167750.00vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.336.90.000000.000682.786923.8200.154-13.513.80.000000.167750.00XinsInsulation Thickness1in7-1.86.334.50.000000.000682.786923.8200.154-12.31.40.000000.167750.008-0.16.332.30.000000.000682.786923.8200.154-11.0-9.60.001170.166641.32Conduction Inputs92.46.332.00.000810.000682.786923.8200.154-10.0-19.60.002390.165472.70kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.332.00.001680.000682.786923.8200.154-9.1-28.70.003490.164403.95kinsinsul. Therm. Cond.0.021BTU/hr-ft-F118.66.332.00.002470.000682.786923.8200.154-7.9-36.60.004460.163475.04kpipepipe thermal cond26.2BTU/hr-ft-F1211.76.332.00.003170.000682.786923.8200.154-6.9-43.50.005300.162655.991314.16.332.00.003780.000682.786923.8200.154-6.1-49.60.006040.161926.83Convection Calculation Inputs1415.66.332.00.004330.000682.786923.8200.154-5.6-55.20.006720.161257.60CZukauskas Eq Constant0.26unitless1516.26.332.00.004840.000682.786923.8200.154-5.4-60.50.007370.160618.34kairThermal Conductivity of Air0.01416BTU/hr-ft-F1615.86.332.00.005330.000682.786923.8200.154-5.5-66.00.008040.159949.09mZukauskas Eq Constant0.6unitless1714.86.332.00.005840.000682.786923.8200.154-5.8-71.90.008750.159239.90nZukauskas Eq Constant0.37unitless1813.36.332.00.006380.000682.786923.8200.154-6.3-78.20.009520.1584610.77PrPrandtl Number at amb temp0.728unitless1911.56.332.00.006980.000682.786923.8200.154-7.0-85.20.010370.1576011.73PrsPrandtl Number at surface temp0.728unitless209.76.332.00.007640.000682.786923.8200.154-7.6-92.70.011290.1566712.77vKinematic Viscosity at amb temp0.0001075ft2/s218.26.332.00.008360.000682.786923.8200.154-8.1-100.80.012270.1556713.88226.86.332.00.009150.000682.786923.8200.154-8.5-109.40.013310.1546015.06Radiant Calculation Inputs235.76.332.00.009990.000682.786923.8200.154-8.9-118.30.014400.1534816.29eemissivity0.8unitless244.96.332.00.010880.000682.786923.8200.154-9.2-127.40.015520.1523217.55SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4254.26.332.00.011810.000682.786923.8200.154-9.4-136.90.016660.1511218.85263.56.332.00.012780.000682.786923.8200.154-9.6-146.50.017840.1498720.18Calculated Values273.06.332.00.013790.000682.786923.8200.154-9.8-156.30.019030.1486021.53r2inside radius of pipe0.16775ft282.56.332.00.014840.000682.786923.8200.154-10.0-166.30.020250.1472922.90r3outside radius of pipe0.18750ft292.46.332.00.015920.000682.786923.8200.154-10.0-176.30.021470.1459724.28r4outside radius of insulation0.27083ft302.76.332.00.017030.000682.786923.8200.154-9.9-186.20.022670.1446525.65VwWind Velocity9.24000ft/sat -6F313.46.332.00.018140.000682.786923.8200.154-9.7-195.90.023850.1433526.98DinsInsulation OD0.54167ftat 0F324.66.332.00.019250.000682.786923.8200.154-9.3-205.20.024980.1420928.25ReReynolds No. for Zukauskas Eq.46558unitless336.46.332.00.020320.000682.786923.8200.154-8.6-213.80.026030.1409129.44VfVolume of fluid per lineal foot0.0884046136ft3/ft348.56.332.00.021350.000682.786923.8200.154-7.9-221.70.027000.1398130.54mfMass of fluid in pipe5.52lbm3510.86.332.00.022300.000682.786923.8200.154-7.2-228.90.027870.1388231.52QwAvailable Water Energy126.85BTU3613.06.332.00.023180.000682.786923.8200.154-6.4-235.30.028650.1379232.403714.76.332.00.023970.000682.786923.8200.154-5.8-241.10.029360.1371033.213815.86.332.00.024710.000682.786923.8200.154-5.5-246.60.030020.1363233.963916.26.332.00.025400.000682.786923.8200.154-5.3-252.00.030670.1355634.704015.66.332.00.026080.000682.786923.8200.154-5.5-257.50.031350.1347735.464114.26.332.00.026800.000682.786923.8200.154-6.0-263.50.032070.1339036.284212.16.332.00.027590.000682.786923.8200.154-6.7-270.20.032890.1329337.20439.66.332.00.028480.000682.786923.8200.154-7.5-277.70.033810.1318338.24447.16.332.00.029500.000682.786923.8200.154-8.4-286.10.034830.1305939.40455.06.332.00.030660.000682.786923.8200.154-9.1-295.20.035940.1292340.65463.06.332.00.031940.000682.786923.8200.154-9.7-304.90.037120.1277641.99471.56.332.00.033340.000682.786923.8200.154-10.3-315.20.038370.1262043.41480.36.332.00.034850.000682.786923.8200.154-10.6-325.90.039670.1245544.8749-0.725.032.00.036460.000682.786928.7350.067-11.3-337.10.041050.1227846.4350-1.627.932.00.038210.000682.786929.3290.063-11.6-348.80.042460.1209348.0351-2.427.932.00.040070.000682.786929.3290.063-11.9-360.70.043910.1190149.6752-3.027.932.00.042030.000682.786929.3290.063-12.1-372.80.045380.1170251.3453-3.227.932.00.044090.000682.786929.3290.063-12.2-384.90.046860.1149953.0154-2.827.932.00.046230.000682.786929.3290.063-12.0-397.00.048330.1129554.6755-1.825.032.00.048430.000682.786928.7350.067-11.7-408.60.049740.1109356.2756-0.16.332.00.050630.000682.786923.8200.154-10.7-419.30.051050.1090457.75572.46.332.00.052730.000682.786923.8200.154-9.9-429.20.052250.1072759.11585.36.332.00.054740.000682.786923.8200.154-8.9-438.10.053340.1056560.33598.66.332.00.056600.000682.786923.8200.154-7.8-445.90.054280.1042161.416011.76.332.00.058280.000682.786923.8200.154-6.8-452.70.055110.1029562.346132.00.059770.000682.786920.0000.0000.00.00.000000.000000.00620.00.000000.000682.786920.0000.0000.00.00.000000.000000.00630.00.000000.000682.786920.0000.0000.00.00.000000.000000.00640.00.000000.000682.786920.0000.0000.00.00.000000.000000.00650.00.000000.000682.786920.0000.0000.00.00.000000.000000.00660.00.000000.000682.786920.0000.0000.00.00.000000.000000.00670.00.000000.000682.786920.0000.0000.00.00.000000.000000.00680.00.000000.000682.786920.0000.0000.00.00.000000.000000.00690.00.000000.000682.786920.0000.0000.00.00.000000.000000.00700.00.000000.000682.786920.0000.0000.00.00.000000.000000.00710.00.000000.000682.786920.0000.0000.00.00.000000.000000.00720.00.000000.000682.786920.0000.0000.00.00.000000.000000.00Heat Trace Calculation:HT2.427.940.00.000000.000682.786929.3290.063-13.2N/AN/AN/AN/A


4>110SymbolDescriptionValueUnitsPIPE NPS (std)4in.INSULATION THICKNESS1.5in.0.00General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter4.026inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter4.500in013.510.4110.00.000000.000683.871454.8740.105-24.30.00.000000.000000.00hsfWater Latent Heat of Fusion143.5BTU/lbm112.710.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00LPipe Length "L"1ft211.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00pdensity of ice57.24lb/ft3311.210.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00TwInitial water temp in pipe110F410.710.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00VwWind speed10.4mph510.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00vfSp. Vol. of water in pipe @ Tf0.000000ft3/lbm610.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00XinsInsulation Thickness1.5in711.710.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00813.210.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00Conduction Inputs915.410.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00kiceIce Thermal Cond.1.3BTU/hr-ft-F1017.910.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00kinsinsul. Therm. Cond.0.021BTU/hr-ft-F1120.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00kpipepipe thermal cond26.2BTU/hr-ft-F1223.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.001325.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00Convection Calculation Inputs1426.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00CZukauskas Eq Constant0.26unitless1527.310.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00kairThermal Conductivity of Air0.01416BTU/hr-ft-F1626.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00mZukauskas Eq Constant0.6unitless1724.410.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00nZukauskas Eq Constant0.37unitless1821.210.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00PrPrandtl Number at amb temp0.728unitless1917.410.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00PrsPrandtl Number at surface temp0.728unitless2013.610.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00vKinematic Viscosity at amb temp0.0001075ft2/s2110.310.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00227.410.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00Radiant Calculation Inputs235.010.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00eemissivity0.8unitless243.310.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4251.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00260.326.20.00.000000.000683.871458.4840.0600.00.00.000000.000000.00Calculated Values27-0.826.40.00.000000.000683.871458.5310.0600.00.00.000000.000000.00r2inside radius of pipe0.16775ft28-1.726.40.00.000000.000683.871458.5310.0600.00.00.000000.000000.00r3outside radius of pipe0.18750ft29-2.026.40.00.000000.000683.871458.5310.0600.00.00.000000.000000.00r4outside radius of insulation0.31250ft30-1.426.40.00.000000.000683.871458.5310.0600.00.00.000000.000000.00VwWind Velocity15.25333ft/sat -6F310.126.40.00.000000.000683.871458.5310.0600.00.00.000000.000000.00DinsInsulation OD0.62500ftat 0F322.726.20.00.000000.000683.871458.4840.0600.00.00.000000.000000.00ReReynolds No. for Zukauskas Eq.88682unitless336.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00VfVolume of fluid per lineal foot0.0884046136ft3/ft3410.910.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00mfMass of fluid in pipe0.00lbm3515.910.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00QwAvailable Water Energy0.00BTU3620.610.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.003724.110.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.003826.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.003927.310.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004026.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004125.710.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004223.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004321.610.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004419.410.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004517.610.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004615.910.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004714.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004813.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.004912.710.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005011.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005111.210.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005210.710.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005310.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005410.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005511.710.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005613.210.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005715.410.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005817.910.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.005920.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006023.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006125.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006226.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006327.310.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006426.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006525.710.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006623.810.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006721.610.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006819.410.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.006917.610.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.007015.910.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.007114.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.007213.510.40.00.000000.000683.871454.8740.1050.00.00.000000.000000.00


6SymbolDescriptionValueUnitsPIPE NPS (std)6in.INSULATION THICKNESS1in.33.03General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter6.065inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter6.625in00.36.355.00.000000.000541.999403.4120.130-25.7262.20.000000.252710.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.352.90.000000.000541.999403.4120.130-25.2237.00.000000.252710.00LPipe Length "L"1ft2-1.66.350.90.000000.000541.999403.4120.130-24.7212.30.000000.252710.00pdensity of ice57.24lb/ft33-2.46.349.00.000000.000541.999403.4120.130-24.1188.20.000000.252710.00TwInitial water temp in pipe55F4-3.06.347.00.000000.000541.999403.4120.130-23.5164.70.000000.252710.00VwWind speed6.3mph5-3.26.345.20.000000.000541.999403.4120.130-22.7142.00.000000.252710.00vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.343.30.000000.000541.999403.4120.130-21.7120.40.000000.252710.00XinsInsulation Thickness1in7-1.86.341.60.000000.000541.999403.4120.130-20.4100.00.000000.252710.008-0.16.340.00.000000.000541.999403.4120.130-18.881.20.000000.252710.00Conduction Inputs92.46.338.50.000000.000541.999403.4120.130-16.964.20.000000.252710.00kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.337.10.000000.000541.999403.4120.130-14.949.30.000000.252710.00kinsinsul. Therm. Cond.0.021BTU/hr-ft-F118.66.335.90.000000.000541.999403.4120.130-12.836.50.000000.252710.00kpipepipe thermal cond26.2BTU/hr-ft-F1211.76.334.90.000000.000541.999403.4120.130-10.925.60.000000.252710.001314.16.334.00.000000.000541.999403.4120.130-9.416.20.000000.252710.00Convection Calculation Inputs1415.66.333.30.000000.000541.999403.4120.130-8.37.90.000000.252710.00CZukauskas Eq Constant0.26unitless1516.26.332.60.000000.000541.999403.4120.130-7.70.20.000000.252710.00kairThermal Conductivity of Air0.01416BTU/hr-ft-F1615.86.332.00.000000.000541.999403.4120.130-7.6-7.50.000910.252140.45mZukauskas Eq Constant0.6unitless1714.86.332.00.000280.000541.999403.4120.130-8.1-15.50.001890.251510.94nZukauskas Eq Constant0.37unitless1813.36.332.00.000580.000541.999403.4120.130-8.8-24.30.002960.250841.48PrPrandtl Number at amb temp0.728unitless1911.56.332.00.000910.000541.999403.4120.130-9.6-33.90.004130.250092.06PrsPrandtl Number at surface temp0.728unitless209.76.332.00.001270.000541.999403.4120.130-10.5-44.40.005410.249282.69vKinematic Viscosity at amb temp0.0001075ft2/s218.26.332.00.001670.000541.999403.4120.130-11.2-55.60.006770.248413.37226.86.332.00.002100.000541.999403.4120.130-11.8-67.40.008200.247494.09Radiant Calculation Inputs235.76.332.00.002560.000541.999403.4120.130-12.3-79.70.009710.246524.84eemissivity0.8unitless244.96.332.00.003040.000541.999403.4120.130-12.7-92.40.011250.245525.61SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4254.26.332.00.003530.000541.999403.4120.130-13.0-105.50.012840.244496.40263.56.332.00.004050.000541.999403.4120.130-13.4-118.80.014470.243437.21Calculated Values273.06.332.00.004580.000541.999403.4120.130-13.6-132.40.016120.242348.04r2inside radius of pipe0.25271ft282.56.332.00.005130.000541.999403.4120.130-13.8-146.20.017800.241248.87r3outside radius of pipe0.27604ft292.46.332.00.005690.000541.999403.4120.130-13.9-160.10.019490.240129.71r4outside radius of insulation0.35938ft302.76.332.00.006260.000541.999403.4120.130-13.7-173.80.021160.2390110.55VwWind Velocity9.24000ft/sat -6F313.46.332.00.006820.000541.999403.4120.130-13.4-187.20.022790.2379211.36DinsInsulation OD0.71875ftat 0F324.66.332.00.007380.000541.999403.4120.130-12.8-200.00.024350.2368712.14ReReynolds No. for Zukauskas Eq.61779unitless336.46.332.00.007920.000541.999403.4120.130-12.0-212.00.025810.2358912.87VfVolume of fluid per lineal foot0.2006268247ft3/ft348.56.332.00.008430.000541.999403.4120.130-11.0-223.00.027150.2349913.53mfMass of fluid in pipe12.52lbm3510.86.332.00.008900.000541.999403.4120.130-9.9-232.90.028360.2341714.14QwAvailable Water Energy287.88BTU3613.06.332.00.009330.000541.999403.4120.130-8.9-241.80.029440.2334314.673714.76.332.00.009710.000541.999403.4120.130-8.1-249.90.030430.2327615.173815.86.332.00.010070.000541.999403.4120.130-7.6-257.50.031350.2321315.633916.26.332.00.010400.000541.999403.4120.130-7.4-264.90.032250.2315116.074015.66.332.00.010730.000541.999403.4120.130-7.7-272.60.033180.2308716.544114.26.332.00.011070.000541.999403.4120.130-8.3-280.90.034190.2301717.044212.16.332.00.011440.000541.999403.4120.130-9.3-290.10.035320.2293917.61439.66.332.00.011850.000541.999403.4120.130-10.5-300.60.036600.2285018.24447.16.332.00.012330.000541.999403.4120.130-11.6-312.20.038010.2275118.95455.06.332.00.012860.000541.999403.4120.130-12.6-324.90.039550.2264319.71463.06.332.00.013440.000541.999403.4120.130-13.5-338.40.041200.2252720.53471.56.332.00.014070.000541.999403.4120.130-14.2-352.60.042930.2240521.40480.36.332.00.014740.000541.999403.4120.130-14.8-367.40.044730.2227622.3049-0.725.032.00.015440.000541.999407.8000.057-15.8-383.20.046650.2213923.2550-1.627.932.00.016200.000541.999408.3310.053-16.3-399.40.048630.2199624.2451-2.427.932.00.016990.000541.999408.3310.053-16.6-416.00.050650.2184925.2552-3.027.932.00.017810.000541.999408.3310.053-16.9-432.90.052710.2169926.2753-3.227.932.00.018660.000541.999408.3310.053-17.0-449.90.054770.2154727.3054-2.827.932.00.019520.000541.999408.3310.053-16.8-466.70.056820.2139528.3255-1.825.032.00.020380.000541.999407.8000.057-16.3-483.00.058800.2124729.3156-0.16.332.00.021230.000541.999403.4120.130-14.9-497.90.060620.2111130.21572.46.332.00.022020.000541.999403.4120.130-13.7-511.60.062290.2098431.05585.36.332.00.022760.000541.999403.4120.130-12.4-524.00.063800.2087031.80598.66.332.00.023430.000541.999403.4120.130-10.9-534.90.065120.2076932.466011.76.332.00.024020.000541.999403.4120.130-9.4-544.30.066270.2068133.036132.00.024540.000541.999400.0000.0000.00.00.000000.000000.00620.00.000000.000541.999400.0000.0000.00.00.000000.000000.00630.00.000000.000541.999400.0000.0000.00.00.000000.000000.00640.00.000000.000541.999400.0000.0000.00.00.000000.000000.00650.00.000000.000541.999400.0000.0000.00.00.000000.000000.00660.00.000000.000541.999400.0000.0000.00.00.000000.000000.00670.00.000000.000541.999400.0000.0000.00.00.000000.000000.00680.00.000000.000541.999400.0000.0000.00.00.000000.000000.00690.00.000000.000541.999400.0000.0000.00.00.000000.000000.00700.00.000000.000541.999400.0000.0000.00.00.000000.000000.00710.00.000000.000541.999400.0000.0000.00.00.000000.000000.00720.00.000000.000541.999400.0000.0000.00.00.000000.000000.00Heat Trace Calculation:HT2.427.940.00.000000.000541.999408.3310.053-18.3N/AN/AN/AN/A


6 HDPESymbolDescriptionValueUnitsPIPE NPS (std)6in.HDPEINSULATION THICKNESS1.5in.0.00General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter6.065inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter6.625in013.510.460.00.000000.048142.830794.4110.090-15.70.00.000000.000000.00hsfWater Latent Heat of Fusion143.5BTU/lbm112.710.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00LPipe Length "L"1ft211.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00pdensity of ice57.24lb/ft3311.210.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00TwInitial water temp in pipe60F410.710.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00VwWind speed10.4mph510.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00vfSp. Vol. of water in pipe @ Tf0.000000ft3/lbm610.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00XinsInsulation Thickness1.5in711.710.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00813.210.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00Conduction Inputs915.410.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00kiceIce Thermal Cond.1.3BTU/hr-ft-F1017.910.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00kinsinsul. Therm. Cond.0.021BTU/hr-ft-F1120.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00kpipepipe thermal cond0.292BTU/hr-ft-F1223.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.001325.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00Convection Calculation Inputs1426.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00CZukauskas Eq Constant0.26unitless1527.310.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00kairThermal Conductivity of Air0.01416BTU/hr-ft-F1626.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00mZukauskas Eq Constant0.6unitless1724.410.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00nZukauskas Eq Constant0.37unitless1821.210.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00PrPrandtl Number at amb temp0.728unitless1917.410.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00PrsPrandtl Number at surface temp0.728unitless2013.610.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00vKinematic Viscosity at amb temp0.0001075ft2/s2110.310.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00227.410.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00Radiant Calculation Inputs235.010.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00eemissivity0.8unitless243.310.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4251.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00260.326.20.00.000000.048142.830797.6780.0520.00.00.000000.000000.00Calculated Values27-0.826.40.00.000000.048142.830797.7210.0510.00.00.000000.000000.00r2inside radius of pipe0.25271ft28-1.726.40.00.000000.048142.830797.7210.0510.00.00.000000.000000.00r3outside radius of pipe0.27604ft29-2.026.40.00.000000.048142.830797.7210.0510.00.00.000000.000000.00r4outside radius of insulation0.40104ft30-1.426.40.00.000000.048142.830797.7210.0510.00.00.000000.000000.00VwWind Velocity15.25333ft/sat -6F310.126.40.00.000000.048142.830797.7210.0510.00.00.000000.000000.00DinsInsulation OD0.80208ftat 0F322.726.20.00.000000.048142.830797.6780.0520.00.00.000000.000000.00ReReynolds No. for Zukauskas Eq.113809unitless336.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00VfVolume of fluid per lineal foot0.2006268247ft3/ft3410.910.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00mfMass of fluid in pipe0.00lbm3515.910.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00QwAvailable Water Energy0.00BTU3620.610.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.003724.110.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.003826.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.003927.310.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004026.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004125.710.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004223.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004321.610.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004419.410.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004517.610.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004615.910.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004714.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004813.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.004912.710.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005011.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005111.210.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005210.710.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005310.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005410.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005511.710.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005613.210.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005715.410.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005817.910.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.005920.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006023.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006125.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006226.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006327.310.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006426.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006525.710.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006623.810.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006721.610.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006819.410.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.006917.610.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.007015.910.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.007114.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.007213.510.40.00.000000.048142.830794.4110.0900.00.00.000000.000000.00




8SymbolDescriptionValueUnitsPIPE NPS (std)8in.INSULATION THICKNESS1in.20.72General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter7.981inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter8.625in00.36.355.00.000000.000471.580523.1390.115-32.3466.20.000000.332540.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.353.50.000000.000471.580523.1390.115-32.0434.30.000000.332540.00LPipe Length "L"1ft2-1.66.352.00.000000.000471.580523.1390.115-31.7402.60.000000.332540.00pdensity of ice57.24lb/ft33-2.46.350.60.000000.000471.580523.1390.115-31.2371.40.000000.332540.00TwInitial water temp in pipe55F4-3.06.349.10.000000.000471.580523.1390.115-30.7340.70.000000.332540.00VwWind speed6.3mph5-3.26.347.70.000000.000471.580523.1390.115-30.0310.60.000000.332540.00vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.346.30.000000.000471.580523.1390.115-29.0281.70.000000.332540.00XinsInsulation Thickness1in7-1.86.345.00.000000.000471.580523.1390.115-27.6254.00.000000.332540.008-0.16.343.70.000000.000471.580523.1390.115-25.8228.20.000000.332540.00Conduction Inputs92.46.342.50.000000.000471.580523.1390.115-23.6204.60.000000.332540.00kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.341.40.000000.000471.580523.1390.115-21.3183.30.000000.332540.00kinsinsul. Therm. Cond.0.021BTU/hr-ft-F118.66.340.50.000000.000471.580523.1390.115-18.8164.50.000000.332540.00kpipepipe thermal cond26.2BTU/hr-ft-F1211.76.339.60.000000.000471.580523.1390.115-16.4148.10.000000.332540.001314.16.338.80.000000.000471.580523.1390.115-14.6133.50.000000.332540.00Convection Calculation Inputs1415.66.338.20.000000.000471.580523.1390.115-13.3120.20.000000.332540.00CZukauskas Eq Constant0.26unitless1516.26.337.50.000000.000471.580523.1390.115-12.6107.60.000000.332540.00kairThermal Conductivity of Air0.01416BTU/hr-ft-F1615.86.337.00.000000.000471.580523.1390.115-12.595.10.000000.332540.00mZukauskas Eq Constant0.6unitless1714.86.336.40.000000.000471.580523.1390.115-12.782.30.000000.332540.00nZukauskas Eq Constant0.37unitless1813.36.335.80.000000.000471.580523.1390.115-13.369.00.000000.332540.00PrPrandtl Number at amb temp0.728unitless1911.56.335.20.000000.000471.580523.1390.115-14.055.10.000000.332540.00PrsPrandtl Number at surface temp0.728unitless209.76.334.50.000000.000471.580523.1390.115-14.640.40.000000.332540.00vKinematic Viscosity at amb temp0.0001075ft2/s218.26.333.90.000000.000471.580523.1390.115-15.125.30.000000.332540.00226.86.333.20.000000.000471.580523.1390.115-15.59.70.000000.332540.00Radiant Calculation Inputs235.76.332.40.000000.000471.580523.1390.115-15.8-6.00.000730.332190.21eemissivity0.8unitless244.96.332.00.000130.000471.580523.1390.115-16.0-22.00.002680.331260.77SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4254.26.332.00.000470.000471.580523.1390.115-16.4-38.40.004680.330301.35263.56.332.00.000830.000471.580523.1390.115-16.8-55.20.006720.329311.94Calculated Values273.06.332.00.001200.000471.580523.1390.115-17.1-72.30.008810.328302.54r2inside radius of pipe0.33254ft282.56.332.00.001570.000471.580523.1390.115-17.4-89.70.010920.327273.14r3outside radius of pipe0.35938ft292.46.332.00.001960.000471.580523.1390.115-17.4-107.10.013040.326243.75r4outside radius of insulation0.44271ft302.76.332.00.002340.000471.580523.1390.115-17.3-124.40.015150.325214.36VwWind Velocity9.24000ft/sat -6F313.46.332.00.002730.000471.580523.1390.115-16.9-141.30.017200.324214.95DinsInsulation OD0.88542ftat 0F324.66.332.00.003110.000471.580523.1390.115-16.1-157.40.019160.323245.52ReReynolds No. for Zukauskas Eq.76105unitless336.46.332.00.003470.000471.580523.1390.115-15.1-172.50.021000.322346.04VfVolume of fluid per lineal foot0.3474097566ft3/ft348.56.332.00.003820.000471.580523.1390.115-13.9-186.30.022680.321506.53mfMass of fluid in pipe21.67lbm3510.86.332.00.004130.000471.580523.1390.115-12.5-198.80.024200.320756.97QwAvailable Water Energy498.51BTU3613.06.332.00.004420.000471.580523.1390.115-11.2-210.00.025560.320077.363714.76.332.00.004680.000471.580523.1390.115-10.2-220.20.026800.319467.723815.86.332.00.004910.000471.580523.1390.115-9.5-229.70.027970.318888.053916.26.332.00.005140.000471.580523.1390.115-9.3-239.00.029100.318318.384015.66.332.00.005350.000471.580523.1390.115-9.6-248.70.030270.317728.714114.26.332.00.005580.000471.580523.1390.115-10.4-259.10.031540.317099.084212.16.332.00.005830.000471.580523.1390.115-11.7-270.80.032970.316379.49439.66.332.00.006100.000471.580523.1390.115-13.2-283.90.034570.315569.95447.16.332.00.006420.000471.580523.1390.115-14.6-298.60.036350.3146610.46455.06.332.00.006770.000471.580523.1390.115-15.9-314.50.038290.3136811.02463.06.332.00.007150.000471.580523.1390.115-17.0-331.50.040360.3126311.62471.56.332.00.007560.000471.580523.1390.115-17.9-349.40.042540.3115212.25480.36.332.00.008000.000471.580523.1390.115-18.6-368.00.044810.3103612.9049-0.725.032.00.008450.000471.580527.1760.050-19.9-388.00.047230.3091113.6050-1.627.932.00.008940.000471.580527.6640.047-20.5-408.50.049730.3078214.3251-2.427.932.00.009460.000471.580527.6640.047-21.0-429.50.052290.3065015.0552-3.027.932.00.009990.000471.580527.6640.047-21.4-450.90.054890.3051415.8053-3.227.932.00.010530.000471.580527.6640.047-21.5-472.30.057510.3037816.5554-2.827.932.00.011080.000471.580527.6640.047-21.2-493.60.060090.3024217.3055-1.825.032.00.011620.000471.580527.1760.050-20.6-514.20.062600.3011018.0256-0.16.332.00.012160.000471.580523.1390.115-18.8-533.00.064880.2998818.68572.46.332.00.012650.000471.580523.1390.115-17.3-550.30.066990.2987619.28585.36.332.00.013110.000471.580523.1390.115-15.6-565.90.068890.2977519.83598.66.332.00.013530.000471.580523.1390.115-13.7-579.50.070560.2968620.316011.76.332.00.013900.000471.580523.1390.115-11.9-591.40.072000.2960820.726132.00.014220.000471.580520.0000.0000.00.00.000000.000000.00620.00.000000.000471.580520.0000.0000.00.00.000000.000000.00630.00.000000.000471.580520.0000.0000.00.00.000000.000000.00640.00.000000.000471.580520.0000.0000.00.00.000000.000000.00650.00.000000.000471.580520.0000.0000.00.00.000000.000000.00660.00.000000.000471.580520.0000.0000.00.00.000000.000000.00670.00.000000.000471.580520.0000.0000.00.00.000000.000000.00680.00.000000.000471.580520.0000.0000.00.00.000000.000000.00690.00.000000.000471.580520.0000.0000.00.00.000000.000000.00700.00.000000.000471.580520.0000.0000.00.00.000000.000000.00710.00.000000.000471.580520.0000.0000.00.00.000000.000000.00720.00.000000.000471.580520.0000.0000.00.00.000000.000000.00


10SymbolDescriptionValueUnitsPIPE NPS (std)10in.INSULATION THICKNESS1in.13.19General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter10.020inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter10.750in00.36.355.00.000000.000431.293142.9180.103-39.2746.60.000000.417500.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.353.90.000000.000431.293142.9180.103-39.0707.50.000000.417500.00LPipe Length "L"1ft2-1.66.352.70.000000.000431.293142.9180.103-38.9668.60.000000.417500.00pdensity of ice57.24lb/ft33-2.46.351.60.000000.000431.293142.9180.103-38.7630.00.000000.417500.00TwInitial water temp in pipe55F4-3.06.350.40.000000.000431.293142.9180.103-38.3591.70.000000.417500.00VwWind speed6.3mph5-3.26.349.30.000000.000431.293142.9180.103-37.6554.10.000000.417500.00vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.348.20.000000.000431.293142.9180.103-36.5517.60.000000.417500.00XinsInsulation Thickness1in7-1.86.347.10.000000.000431.293142.9180.103-35.1482.50.000000.417500.008-0.16.346.10.000000.000431.293142.9180.103-33.1449.40.000000.417500.00Conduction Inputs92.46.345.20.000000.000431.293142.9180.103-30.6418.80.000000.417500.00kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.344.30.000000.000431.293142.9180.103-27.9390.90.000000.417500.00kinsinsul. Therm. Cond.0.021BTU/hr-ft-F118.66.343.40.000000.000431.293142.9180.103-24.9366.00.000000.417500.00kpipepipe thermal cond26.2BTU/hr-ft-F1211.76.342.70.000000.000431.293142.9180.103-22.2343.80.000000.417500.001314.16.342.10.000000.000431.293142.9180.103-20.1323.70.000000.417500.00Convection Calculation Inputs1415.66.341.50.000000.000431.293142.9180.103-18.5305.20.000000.417500.00CZukauskas Eq Constant0.26unitless1516.26.340.90.000000.000431.293142.9180.103-17.7287.50.000000.417500.00kairThermal Conductivity of Air0.01416BTU/hr-ft-F1615.86.340.40.000000.000431.293142.9180.103-17.7269.80.000000.417500.00mZukauskas Eq Constant0.6unitless1714.86.339.90.000000.000431.293142.9180.103-18.0251.80.000000.417500.00nZukauskas Eq Constant0.37unitless1813.36.339.40.000000.000431.293142.9180.103-18.7233.20.000000.417500.00PrPrandtl Number at amb temp0.728unitless1911.56.338.80.000000.000431.293142.9180.103-19.6213.60.000000.417500.00PrsPrandtl Number at surface temp0.728unitless209.76.338.30.000000.000431.293142.9180.103-20.4193.10.000000.417500.00vKinematic Viscosity at amb temp0.0001075ft2/s218.26.337.70.000000.000431.293142.9180.103-21.1172.00.000000.417500.00226.86.337.00.000000.000431.293142.9180.103-21.6150.40.000000.417500.00Radiant Calculation Inputs235.76.336.40.000000.000431.293142.9180.103-22.0128.40.000000.417500.00eemissivity0.8unitless244.96.335.80.000000.000431.293142.9180.103-22.1106.30.000000.417500.00SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4254.26.335.10.000000.000431.293142.9180.103-22.184.10.000000.417500.00263.56.334.50.000000.000431.293142.9180.103-22.262.00.000000.417500.00Calculated Values273.06.333.80.000000.000431.293142.9180.103-22.139.90.000000.417500.00r2inside radius of pipe0.41750ft282.56.333.20.000000.000431.293142.9180.103-21.917.90.000000.417500.00r3outside radius of pipe0.44792ft292.46.332.50.000000.000431.293142.9180.103-21.6-3.60.000440.417330.08r4outside radius of insulation0.53125ft302.76.332.00.000050.000431.293142.9180.103-21.0-24.60.003000.416350.55VwWind Velocity9.24000ft/sat -6F313.46.332.00.000340.000431.293142.9180.103-20.5-45.10.005500.415401.00DinsInsulation OD1.06250ftat 0F324.66.332.00.000620.000431.293142.9180.103-19.6-64.80.007880.414481.44ReReynolds No. for Zukauskas Eq.91326unitless336.46.332.00.000890.000431.293142.9180.103-18.3-83.10.010120.413631.85VfVolume of fluid per lineal foot0.5475992345ft3/ft348.56.332.00.001140.000431.293142.9180.103-16.8-99.90.012170.412842.22mfMass of fluid in pipe34.16lbm3510.86.332.00.001380.000431.293142.9180.103-15.2-115.10.014010.412122.56QwAvailable Water Energy785.76BTU3613.06.332.00.001590.000431.293142.9180.103-13.6-128.70.015670.411482.863714.76.332.00.001780.000431.293142.9180.103-12.4-141.10.017180.410903.143815.86.332.00.001950.000431.293142.9180.103-11.6-152.70.018590.410353.393916.26.332.00.002110.000431.293142.9180.103-11.3-164.00.019970.409823.654015.66.332.00.002270.000431.293142.9180.103-11.7-175.70.021390.409263.914114.26.332.00.002440.000431.293142.9180.103-12.7-188.40.022940.408664.194212.16.332.00.002620.000431.293142.9180.103-14.2-202.60.024670.407994.51439.66.332.00.002820.000431.293142.9180.103-16.0-218.70.026620.407234.86447.16.332.00.003050.000431.293142.9180.103-17.8-236.50.028790.406385.26455.06.332.00.003310.000431.293142.9180.103-19.3-255.80.031140.405465.69463.06.332.00.003580.000431.293142.9180.103-20.7-276.50.033660.404466.15471.56.332.00.003880.000431.293142.9180.103-21.8-298.30.036320.403426.63480.36.332.00.004200.000431.293142.9180.103-22.6-320.90.039070.402337.1449-0.725.032.00.004530.000431.293146.6710.045-24.3-345.30.042030.401167.6850-1.627.932.00.004890.000431.293147.1250.042-25.1-370.30.045090.399948.2351-2.427.932.00.005260.000431.293147.1250.042-25.7-396.00.048210.398708.8052-3.027.932.00.005640.000431.293147.1250.042-26.1-422.10.051390.397439.3853-3.227.932.00.006030.000431.293147.1250.042-26.2-448.30.054580.396159.9754-2.827.932.00.006430.000431.293147.1250.042-25.9-474.20.057740.3948810.5455-1.825.032.00.006820.000431.293146.6710.045-25.1-499.40.060800.3936411.1056-0.16.332.00.007200.000431.293142.9180.103-22.9-522.20.063580.3925211.61572.46.332.00.007550.000431.293142.9180.103-21.1-543.30.066140.3914712.08585.36.332.00.007880.000431.293142.9180.103-19.0-562.30.068460.3905312.50598.66.332.00.008170.000431.293142.9180.103-16.6-578.90.070480.3897112.876011.76.332.00.008430.000431.293142.9180.103-14.4-593.40.072240.3889913.196132.00.008660.000431.293140.0000.0000.00.00.000000.000000.00620.00.000000.000431.293140.0000.0000.00.00.000000.000000.00630.00.000000.000431.293140.0000.0000.00.00.000000.000000.00640.00.000000.000431.293140.0000.0000.00.00.000000.000000.00650.00.000000.000431.293140.0000.0000.00.00.000000.000000.00660.00.000000.000431.293140.0000.0000.00.00.000000.000000.00670.00.000000.000431.293140.0000.0000.00.00.000000.000000.00680.00.000000.000431.293140.0000.0000.00.00.000000.000000.00690.00.000000.000431.293140.0000.0000.00.00.000000.000000.00700.00.000000.000431.293140.0000.0000.00.00.000000.000000.00710.00.000000.000431.293140.0000.0000.00.00.000000.000000.00720.00.000000.000431.293140.0000.0000.00.00.000000.000000.00


12SymbolDescriptionValueUnitsPIPE NPS (std)12in.INSULATION THICKNESS1in.8.39General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter12.000inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter12.750in00.36.355.00.000000.000371.104322.7530.094-45.61081.40.000000.500000.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.354.10.000000.000371.104322.7530.094-45.71035.70.000000.500000.00LPipe Length "L"1ft2-1.66.353.10.000000.000371.104322.7530.094-45.7990.00.000000.500000.00pdensity of ice57.24lb/ft33-2.46.352.20.000000.000371.104322.7530.094-45.6944.50.000000.500000.00TwInitial water temp in pipe55F4-3.06.351.30.000000.000371.104322.7530.094-45.3899.20.000000.500000.00VwDesign Wind speed6.3mph5-3.26.350.40.000000.000371.104322.7530.094-44.7854.50.000000.500000.00vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.349.40.000000.000371.104322.7530.094-43.6811.00.000000.500000.00XinsInsulation Thickness1in7-1.86.348.60.000000.000371.104322.7530.094-42.0768.90.000000.500000.008-0.16.347.70.000000.000371.104322.7530.094-39.9729.10.000000.500000.00Conduction Inputs92.46.346.90.000000.000371.104322.7530.094-37.1692.00.000000.500000.00kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.346.10.000000.000371.104322.7530.094-34.0658.00.000000.500000.00kinsinsul. Therm. Cond.0.021BTU/hr-ft-F118.66.345.40.000000.000371.104322.7530.094-30.7627.30.000000.500000.00kpipepipe thermal cond26.2BTU/hr-ft-F1211.76.344.80.000000.000371.104322.7530.094-27.6599.70.000000.500000.001314.16.344.20.000000.000371.104322.7530.094-25.2574.50.000000.500000.00Convection Calculation Inputs1415.66.343.70.000000.000371.104322.7530.094-23.5551.10.000000.500000.00CZukauskas Eq Constant0.26unitless1516.26.343.20.000000.000371.104322.7530.094-22.6528.50.000000.500000.00kairThermal Conductivity of Air0.01416BTU/hr-ft-F1615.86.342.80.000000.000371.104322.7530.094-22.5505.90.000000.500000.00mZukauskas Eq Constant0.6unitless1714.86.342.30.000000.000371.104322.7530.094-23.0483.00.000000.500000.00nZukauskas Eq Constant0.37unitless1813.36.341.90.000000.000371.104322.7530.094-23.8459.20.000000.500000.00PrPrandtl Number at amb temp0.728unitless1911.56.341.40.000000.000371.104322.7530.094-24.9434.20.000000.500000.00PrsPrandtl Number at surface temp0.728unitless209.76.340.90.000000.000371.104322.7530.094-26.0408.20.000000.500000.00vKinematic Viscosity at amb temp0.0001075ft2/s218.26.340.30.000000.000371.104322.7530.094-26.8381.40.000000.500000.00226.86.339.80.000000.000371.104322.7530.094-27.5353.90.000000.500000.00Radiant Calculation Inputs235.76.339.20.000000.000371.104322.7530.094-28.0326.00.000000.500000.00eemissivity0.8unitless244.96.338.70.000000.000371.104322.7530.094-28.2297.80.000000.500000.00SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4254.26.338.10.000000.000371.104322.7530.094-28.3269.50.000000.500000.00263.56.337.50.000000.000371.104322.7530.094-28.4241.20.000000.500000.00Calculated Values273.06.336.90.000000.000371.104322.7530.094-28.3212.80.000000.500000.00r2inside radius of pipe0.50000ft282.56.336.30.000000.000371.104322.7530.094-28.2184.60.000000.500000.00r3outside radius of pipe0.53125ft292.46.335.80.000000.000371.104322.7530.094-27.8156.80.000000.500000.00r4outside radius of insulation0.61458ft302.76.335.20.000000.000371.104322.7530.094-27.1129.70.000000.500000.00VwWind Velocity9.24000ft/sat -6F313.46.334.60.000000.000371.104322.7530.094-26.1103.60.000000.500000.00DinsInsulation OD1.22917ftat 0F324.66.334.10.000000.000371.104322.7530.094-24.678.90.000000.500000.00ReReynolds No. for Zukauskas Eq.105651unitless336.46.333.60.000000.000371.104322.7530.094-22.756.20.000000.500000.00VfVolume of fluid per lineal foot0.7853981634ft3/ft348.56.333.10.000000.000371.104322.7530.094-20.635.60.000000.500000.00mfMass of fluid in pipe49.00lbm3510.86.332.70.000000.000371.104322.7530.094-18.317.40.000000.500000.00QwAvailable Water Energy1126.99BTU3613.06.332.40.000000.000371.104322.7530.094-16.11.20.000000.500000.003714.76.332.00.000000.000371.104322.7530.094-14.5-13.30.001610.499490.213815.86.332.00.000130.000371.104322.7530.094-13.5-26.80.003260.498960.423916.26.332.00.000250.000371.104322.7530.094-13.2-40.00.004870.498450.624015.66.332.00.000380.000371.104322.7530.094-13.7-53.70.006530.497920.834114.26.332.00.000510.000371.104322.7530.094-14.8-68.50.008340.497341.064212.16.332.00.000650.000371.104322.7530.094-16.6-85.10.010350.496691.32439.66.332.00.000810.000371.104322.7530.094-18.7-103.70.012630.495961.61447.16.332.00.000990.000371.104322.7530.094-20.8-124.50.015160.495151.93455.06.332.00.001190.000371.104322.7530.094-22.5-147.00.017900.494272.28463.06.332.00.001410.000371.104322.7530.094-24.2-171.20.020840.493322.65471.56.332.00.001650.000371.104322.7530.094-25.4-196.60.023940.492323.05480.36.332.00.001890.000371.104322.7530.094-26.4-223.00.027150.491283.4649-0.725.032.00.002150.000371.104326.2940.041-28.5-251.50.030620.490163.9050-1.627.932.00.002430.000371.104326.7220.039-29.4-280.80.034190.489004.3551-2.427.932.00.002720.000371.104326.7220.039-30.0-310.90.037840.487804.8252-3.027.932.00.003020.000371.104326.7220.039-30.5-341.40.041560.486595.2953-3.227.932.00.003330.000371.104326.7220.039-30.7-372.10.045300.485375.7754-2.827.932.00.003640.000371.104326.7220.039-30.3-402.40.048990.484166.2455-1.825.032.00.003940.000371.104326.2940.041-29.4-431.80.052570.482986.6956-0.16.332.00.004240.000371.104322.7530.094-26.7-458.50.055820.481917.11572.46.332.00.004510.000371.104322.7530.094-24.6-483.10.058810.480927.49585.36.332.00.004760.000371.104322.7530.094-22.2-505.20.061510.480027.83598.66.332.00.004990.000371.104322.7530.094-19.4-524.60.063870.479248.136011.76.332.00.005190.000371.104322.7530.094-16.8-541.50.065920.478568.396132.00.005370.000371.104320.0000.0000.00.00.000000.000000.00620.00.000000.000371.104320.0000.0000.00.00.000000.000000.00630.00.000000.000371.104320.0000.0000.00.00.000000.000000.00640.00.000000.000371.104320.0000.0000.00.00.000000.000000.00650.00.000000.000371.104320.0000.0000.00.00.000000.000000.00660.00.000000.000371.104320.0000.0000.00.00.000000.000000.00670.00.000000.000371.104320.0000.0000.00.00.000000.000000.00680.00.000000.000371.104320.0000.0000.00.00.000000.000000.00690.00.000000.000371.104320.0000.0000.00.00.000000.000000.00700.00.000000.000371.104320.0000.0000.00.00.000000.000000.00710.00.000000.000371.104320.0000.0000.00.00.000000.000000.00720.00.000000.000371.104320.0000.0000.00.00.000000.000000.00


14SymbolDescriptionValueUnitsPIPE NPS (std)14in.INSULATION THICKNESS1in.6.19General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter13.250inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter14.000in00.36.355.00.000000.000331.012012.6640.090-49.61324.40.000000.552080.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.354.20.000000.000331.012012.6640.090-49.81274.60.000000.552080.00LPipe Length "L"1ft2-1.66.353.30.000000.000331.012012.6640.090-49.91224.70.000000.552080.00pdensity of ice57.24lb/ft33-2.46.352.50.000000.000331.012012.6640.090-49.81174.90.000000.552080.00TwInitial water temp in pipe55F4-3.06.351.70.000000.000331.012012.6640.090-49.61125.30.000000.552080.00VwWind speed6.3mph5-3.26.350.80.000000.000331.012012.6640.090-49.01076.30.000000.552080.00vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.350.00.000000.000331.012012.6640.090-47.91028.40.000000.552080.00XinsInsulation Thickness1in7-1.86.349.20.000000.000331.012012.6640.090-46.3982.00.000000.552080.008-0.16.348.40.000000.000331.012012.6640.090-44.0938.00.000000.552080.00Conduction Inputs92.46.347.70.000000.000331.012012.6640.090-41.1896.90.000000.552080.00kiceIce Thermal Cond.1.3BTU/hr-ft-F105.36.347.00.000000.000331.012012.6640.090-37.8859.10.000000.552080.00kinsinsul. Therm. Cond.0.021BTU/hr-ft-F118.66.346.40.000000.000331.012012.6640.090-34.3824.80.000000.552080.00kpipepipe thermal cond26.2BTU/hr-ft-F1211.76.345.80.000000.000331.012012.6640.090-30.9793.90.000000.552080.001314.16.345.30.000000.000331.012012.6640.090-28.3765.60.000000.552080.00Convection Calculation Inputs1415.66.344.80.000000.000331.012012.6640.090-26.5739.10.000000.552080.00CZukauskas Eq Constant0.26unitless1516.26.344.40.000000.000331.012012.6640.090-25.6713.50.000000.552080.00kairThermal Conductivity of Air0.01416BTU/hr-ft-F1615.86.343.90.000000.000331.012012.6640.090-25.6687.90.000000.552080.00mZukauskas Eq Constant0.6unitless1714.86.343.50.000000.000331.012012.6640.090-26.1661.80.000000.552080.00nZukauskas Eq Constant0.37unitless1813.36.343.10.000000.000331.012012.6640.090-27.0634.80.000000.552080.00PrPrandtl Number at amb temp0.728unitless1911.56.342.60.000000.000331.012012.6640.090-28.3606.60.000000.552080.00PrsPrandtl Number at surface temp0.728unitless209.76.342.20.000000.000331.012012.6640.090-29.4577.10.000000.552080.00vKinematic Viscosity at amb temp0.0001075ft2/s218.26.341.70.000000.000331.012012.6640.090-30.4546.70.000000.552080.00226.86.341.20.000000.000331.012012.6640.090-31.2515.60.000000.552080.00Radiant Calculation Inputs235.76.340.60.000000.000331.012012.6640.090-31.7483.90.000000.552080.00eemissivity0.8unitless244.96.340.10.000000.000331.012012.6640.090-32.0451.90.000000.552080.00SStephen Boltzman Constant1.71E-09BTU/hr-ft2-R4254.26.339.60.000000.000331.012012.6640.090-32.1419.80.000000.552080.00263.56.339.00.000000.000331.012012.6640.090-32.2387.60.000000.552080.00Calculated Values273.06.338.50.000000.000331.012012.6640.090-32.2355.30.000000.552080.00r2inside radius of pipe0.55208ft282.56.337.90.000000.000331.012012.6640.090-32.1323.20.000000.552080.00r3outside radius of pipe0.58333ft292.46.337.40.000000.000331.012012.6640.090-31.8291.40.000000.552080.00r4outside radius of insulation0.66667ft302.76.336.90.000000.000331.012012.6640.090-31.0260.40.000000.552080.00VwWind Velocity9.24000ft/sat -6F313.46.336.40.000000.000331.012012.6640.090-29.9230.40.000000.552080.00DinsInsulation OD1.33333ftat 0F324.66.335.90.000000.000331.012012.6640.090-28.4202.10.000000.552080.00ReReynolds No. for Zukauskas Eq.114605unitless336.46.335.40.000000.000331.012012.6640.090-26.3175.80.000000.552080.00VfVolume of fluid per lineal foot0.9575448963ft3/ft348.56.334.90.000000.000331.012012.6640.090-24.0151.70.000000.552080.00mfMass of fluid in pipe59.74lbm3510.86.334.50.000000.000331.012012.6640.090-21.5130.20.000000.552080.00QwAvailable Water Energy1374.00BTU3613.06.334.20.000000.000331.012012.6640.090-19.2111.00.000000.552080.003714.76.333.90.000000.000331.012012.6640.090-17.493.60.000000.552080.003815.86.333.60.000000.000331.012012.6640.090-16.277.40.000000.552080.003916.26.333.30.000000.000331.012012.6640.090-15.561.90.000000.552080.004015.66.333.00.000000.000331.012012.6640.090-15.846.10.000000.552080.004114.26.332.80.000000.000331.012012.6640.090-16.829.30.000000.552080.004212.16.332.50.000000.000331.012012.6640.090-18.510.80.000000.552080.00439.66.332.20.000000.000331.012012.6640.090-20.5-9.70.001180.551740.12447.16.332.00.000080.000331.012012.6640.090-22.6-32.30.003940.550950.41455.06.332.00.000250.000331.012012.6640.090-24.5-56.90.006920.550080.72463.06.332.00.000440.000331.012012.6640.090-26.3-83.20.010130.549161.06471.56.332.00.000650.000331.012012.6640.090-27.7-110.90.013500.548181.41480.36.332.00.000870.000331.012012.6640.090-28.7-139.60.017000.547161.7749-0.725.032.00.001100.000331.012016.0920.039-31.0-170.60.020770.546062.1750-1.627.932.00.001340.000331.012016.5070.037-32.0-202.70.024670.544922.5851-2.427.932.00.001600.000331.012016.5070.037-32.7-235.40.028660.543762.9952-3.027.932.00.001860.000331.012016.5070.037-33.3-268.70.032710.542573.4253-3.227.932.00.002130.000331.012016.5070.037-33.5-302.20.036790.541373.8454-2.827.932.00.002400.000331.012016.5070.037-33.1-335.30.040820.540194.2655-1.825.032.00.002670.000331.012016.0920.039-32.1-367.30.044720.539044.6756-0.16.332.00.002930.000331.012012.6640.090-29.0-396.40.048260.537995.04572.46.332.00.003170.000331.012012.6640.090-26.8-423.10.051510.537035.38585.36.332.00.003390.000331.012012.6640.090-24.1-447.30.054450.536165.69598.66.332.00.003580.000331.012012.6640.090-21.1-468.40.057020.535395.966011.76.332.00.003760.000331.012012.6640.090-18.3-486.70.059260.534736.196132.00.003910.000331.012010.0000.0000.00.00.000000.000000.00620.00.000000.000331.012010.0000.0000.00.00.000000.000000.00630.00.000000.000331.012010.0000.0000.00.00.000000.000000.00640.00.000000.000331.012010.0000.0000.00.00.000000.000000.00650.00.000000.000331.012010.0000.0000.00.00.000000.000000.00660.00.000000.000331.012010.0000.0000.00.00.000000.000000.00670.00.000000.000331.012010.0000.0000.00.00.000000.000000.00680.00.000000.000331.012010.0000.0000.00.00.000000.000000.00690.00.000000.000331.012010.0000.0000.00.00.000000.000000.00700.00.000000.000331.012010.0000.0000.00.00.000000.000000.00710.00.000000.000331.012010.0000.0000.00.00.000000.000000.00720.00.000000.000331.012010.0000.0000.00.00.000000.000000.00


16SymbolDescriptionValueUnitsPIPE NPS (std)16in.INSULATION THICKNESS1in.3.43General InputscpSp. Heat of water in pipe1BTU/lbm-FTimeTambVwindTwRiceRpipeRinshc,oRc,oqtQVicerinIced2Pipe Inside Diameter15.250inhrFmphFhr-F / BTUhr-F / BTUhr-F / BTUBTU / hr-ft2-Fhr-F / BTUBTU/hrBTUft3ft%d3Pipe outside diameter16.000in00.36.355.00.000000.000290.892652.4100.088-55.81764.30.000000.635420.00hsfWater Latent Heat of Fusion143.5BTU/lbm1-0.76.354.30.000000.000290.892652.4100.088-56.01708.30.000000.635420.00LPipe Length "L"1ft2-1.66.353.60.000000.000290.892652.4100.088-56.31652.00.000000.635420.00pdensity of ice57.24lb/ft33-2.46.352.90.000000.000290.892652.4100.088-56.41595.70.000000.635420.00TwInitial water temp in pipe55F4-3.06.352.20.000000.000290.892652.4100.088-56.21539.50.000000.635420.00VwWind speed6.3mph5-3.26.351.50.000000.000290.892652.4100.088-55.71483.80.000000.635420.00vfSp. Vol. of water in pipe @ Tf0.016029ft3/lbm6-2.86.350.70.000000.000290.892652.4100.088-54.61429.20.000000.635420.00XinsInsulation Thickness1in7-1.86.350.10.000000.000290.892652.4100.088-52.91376.30.000000.635420.008-0.16.349.40.000000.000290.892652.4100.088-50.41325.90

Piping Heat Loss Calculations

Documents

Transcript of Piping Heat Loss Calculations