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The following data can come in handy for working through hydronic and solar designs:

Power Conversion Formulas:

Multiply Watts by 3.412 to get BTU/hr
Multiply HP by 745.7 to get Watts
1 kWhr/m2 = 86.4 Langleys (cal/cm2) 1 BTU/ft2 = 0.0032 kWhr/m2 5. Heat Capacity of Air (BTUs) = 0.0182 BTU/Ft3-Degree F)
1 kWhr = 3413 BTU = 860 food calories 1 BTU = 252 cal = 0.0003 kWhr 1 kW = 3600 kJ
1 therm = 100,000 BTU = 29.3 kWh 1 therm of natural gas = 11.6 lbs carbon released into atmosphere 1 kWh = 3414 BTU
1 watt = 3.413 BTU/hr 1Watt = 1 Joule/Sec 1 horsepower = 745.7 watts



Energy Conversion Formulas



Multiply Therms by 100,000 to get BTU s
Multiply Therms by 29.3 to get kWh
Multiply kWh By 3,414 to get BTU s
Multiply kWh by 3,600,000 to get Joules
Multiply BTU by 1055 to get Joules



Solar Insolation Conversions

Multiply kWh/m2 by 317 to get BTU/ft2
Multiply kWh/m2 by 3.6 to get MJ/m2
Multiply MJ/m2 by 88.04 to get BTU/ft2




Weights and Measures

1 Kg = 2.2 Lb 1 Lb = 0.4536 Kg
C = 5/9(F-32) F= 9/5 C +32
1 in. = 0.0254 meters 1 meter = 3.281 Ft
1 ft = 0.3048 meters 1 meter = 3.28 Ft 1 m3 = 264.2 gall
1 ft2 = 0.929 m2 1m2 = 10.76 ft2 1ft3 = 1728 cu in
1 ft3 = 0.0283 cu meters = 7.5 gall 1m3= 35.315 cu ft = 1.308 yd3
1 Gall H2O = 8.34 lbs

1 Gall = 3.7854 Liters 1 Liter = 0.2642 G 1 Gall = 230.4 cu in



Energy Equivalents

1 ton of coal = 7500 kWh 1 gallon of oil = 132,000 BTU
1 gallon of gasoline = 37 kWh 1 gallon of gasoline =125,000 BTUs 1 gallon of gasoline = 500 hours human work (62 days)
1 cubic foot of natural gas = 1000 BTU = 0.3 kWh 1 barrel of crude oil = 1700 kWh 1 ton uranium ore = 164 million kWh
MBH = 1000 BTU/hr 1 therm of natural gas = 11.6 lbs carbon released into atmosphere 100,000 BTU from Natural Gas releases 11.6 lbs carbon



Material Properties: Specific Heat (BTU/lb-F) Thermal Conductivity (BTUh/ft2-F-ft)
Water 1.000 0.348

Definitions:

Langley = heat needed to raise 1gram H2O 1 deg C Langley Units: gram-calorie/cm2 1 Langley = 0.2711 BTU/ft2
KiloCalorie - heat required to raise i KG (1L) water from 16.5 to 17.5 degrees C. 1 BTU raises 1 lb water by 1 degree F; approximately equiv. to energy in one wooden match. 8.34 BTU raises 1 gall water by 1 degree F
1 BTU = 252 calories H2O heat of fusion =80kCal/Kg or 36.4 kCal/Lb or 144.5 BTU/lb 1 Cal = 0.00397 BTU
Overall Coefficient of Heat Transfer U = BTU/hr-ft2-F U= 1/R H2O Heat of Vaporization = 970 BTU/Lb or 539 cal/gm
Langley = gram-calorie/cm2 or amt heat to raise 1 g h20 by 1 degree C 1 Langley = 0.2711 BTU/ft2
Conductivity, k = Heat transfer through 1” of material with a 1 deg F difference Conductance, C = Heat transfer through a given thickness of material with a 1 deg F difference. C=k/X where X = thickness of material (ft). Also, R=1/C or R=X/k, or (since U= 1/R), U=k/X
R Value = thickness of material (in inches) / k Heat Loss (in BTU’s/hr) = Area (in ft2) / {R * Delta T} (in deg F)




Hydronics:

head (feet) / 2.31 = psi (water) 2.31 ft. head = 1 psi
psi x 2.31 = head (feet) head (feet) x 0.433 = psi (note: 0.433 x 2.31 = 1)
Specific Gravity – 50% propylene glycol mixture 1.04



Hydronics Rules of Thumb: (note: You can also ask the plumbing supplier’s heat expert!)
Heat Delivery Flow Rate (water) F (gpm) =Boiler Rated Output 10,000 Glycol will increase flow requirement somewhat
Pump Head Requirement 1. Measure longest run in ft. 2. Add 50% to that figure 3. Multiply by .04 4. Result is pump head rqmt.
Max Flow Rate/Heat Carrying Capacity for various CU pipe sizes 1/2” - 1.5 gpm, 15K BTU 3/4” - 4 gpm, 40K BTU 1” - 8 gpm, 80K BTU 1.25” - 14 gpm, 140K BTU



Copper: Gallons per Linear Foot (type”M”)
1/2” .013
3/4” .027
1” .045
1-1/4” .068
1-1/2” .095
95%Tin 5% Antimony melting point – 452 to 464 deg F. ASTM Alloy SB-5
50%Tin 50% Lead melting point – 361 to 421 deg F. ASTM Alloy SN-50
(95/5 Tin/copper melting point –440-500degF ASTM Alloy E
Tin/Antimony/Silver/Copper/ Nickel melting point –460-630degF. ASTM Alloy HB



PEX: Gallons per 100 Linear Ft Uponor HePex
3/8” nominal 0.50
1/2” 0.01 (0.0098)
5/8” 0.02
3/4” 0.03
1” 0.04
1.25” 0.05 estimated
1.5” 0.07 estimated



Propylene Glycol ( deg F): Freeze Protection Volume % Burst Protection Volume %
0 36 24
-10 42 28
-20 46 30
-30 50 33
-40 54 35
The above from DOWFROST HD


                     Solar Energy and Radiant Heating Links:
Solar Energy International- Renewables Training
DOE Energy Savers - Radiant Heating
Colorado Governor's Energy Office
Solar Tax Credits and Rebates
Sunward - Solar Domestic Hot Water Systems
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                           Contact Info:
                         (970) 901-8757
                   ccenergy@montrose.net
         62847 Ohlm Rd., Montrose, CO 81403