Calculate water cooling wattage, flow rate, or temperature difference from any two inputs, with W or BTU/hr, L/min or GPM, and °C or °F.
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Water Cooling Wattage Formula
In base units, the calculator uses water heat transfer with flow in L/min and temperature difference in °C.
Q = 69.7333 \times F \times \Delta T
F = \frac{Q}{69.7333 \times \Delta T}\Delta T = \frac{Q}{69.7333 \times F}- Q = cooling wattage, in watts
- F = water flow rate, in liters per minute
- ΔT = temperature difference between inlet and outlet water, in °C
- 69.7333 = water heat transfer factor based on water specific heat and density
The factor assumes liquid water with a specific heat of about 4184 J/kg·°C and a density of about 1 kg/L. Temperature difference in °F is converted as 1°F difference = 5/9°C difference. Results will change if you use glycol mixtures or another coolant.
Water Cooling Unit Conversions
These are the conversions used before and after the main calculation.
| Quantity | Conversion | Use |
|---|---|---|
| Power | 1 W = 3.41214 BTU/hr | Convert watts to BTU/hr |
| Power | 1 BTU/hr = 0.293071 W | Convert BTU/hr to watts |
| Flow rate | 1 GPM = 3.78541 L/min | Convert gallons per minute to liters per minute |
| Temperature difference | 1°F difference = 5/9°C difference | Convert a Fahrenheit temperature rise or drop |
Cooling Wattage per 1 L/min of Water Flow
Use this table as a quick check. Values scale linearly with flow rate.
| Water ΔT | Cooling at 1 L/min | Cooling at 1 L/min |
|---|---|---|
| 1°C | 69.7 W | 237.9 BTU/hr |
| 2°C | 139.5 W | 475.8 BTU/hr |
| 5°C | 348.7 W | 1,189.8 BTU/hr |
| 10°C | 697.3 W | 2,379.7 BTU/hr |
Example Check
If water flows at 3 L/min and rises by 4°C, the cooling wattage is:
Q = 69.7333 \times 3 \times 4 = 836.8 W
A larger temperature difference means each liter of water carries away more heat. A larger flow rate means more water is carrying heat away each minute.
