Howdy to All that like this kind of stuff,
H2O flow required to carry away heat from any device or component in a system can be calculated.
GPM = [C (Hp)] /ΔT Where GPM = gal/min, Hp = horsepower, ΔT = (Tend - Tstart), as subscripted, ºF
This is using water as the liquid, so use a value for C as 5.1.
IF you want to use a simple calculation on how long in time it takes to heat up a given mass of water:
How long does it take to heat up a volume of Water? With water volume re-circulated (closed system) and no additional water added to the system.
Time = [(MH20 / HpBTU) (Tend - Tstart)] where Time = minutes, MH2O = weight of water (lbs),
HpBTU = Horsepower (BTU), T = temperatures as subscripted, ºF
Plan on using the weight of water as about 8.3lbs/gal so if you have 20 gallons that would be 20 x 8.3 = 166 lbs. Use 42.44BTU/min/Hp, or 2546BTU/hr, so 100Hp = 4244BTU/min
The cooling load of an internal combustion engine can be varied, but easy calcualtions can use somewhere around 33% to 40% of flywheel horsepower.
SO, rock on with your $9 calculator and enjoy the process, but be realistic with the details.
Regards to All,
HB2