Enter any 3 values (cooling-water flow rate, heat load, specific heat, and temperature difference) to calculate the missing one. The “cooling water consumption” result is a flow rate (for example, m³/s or gpm).
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Cooling Water Consumption Formula
The following formula is used to calculate the required cooling-water volumetric flow rate for a given heat load, fluid specific heat, fluid density, and temperature difference.
\dot{V} = \frac{H}{\rho \, c \, \Delta T}Variables:
- V̇ is the cooling-water volumetric flow rate (m³/s)
- H is the heat load (kW)
- ρ is the fluid density (kg/m³)
- c is the specific heat capacity of the fluid (kJ/kg·°C)
- ΔT is the temperature difference between outlet and inlet water (°C)
To calculate the cooling-water flow rate, divide the heat load by the product of density, specific heat capacity, and the temperature difference. (If you omit density, H/(c·ΔT) gives a mass flow rate in kg/s.) To convert a flow rate into a total volume “consumed,” multiply by a time period (for example, m³/h × hours = m³).
What is Cooling Water Consumption?
Cooling water consumption refers to the amount of cooling water needed to absorb and remove heat from a system or process. In many engineering calculations, this is expressed as a required flow rate (such as m³/h or gpm) rather than a one-time volume, unless a specific operating time is stated. This is commonly used in industrial applications, HVAC systems, and power plants where water is used as a cooling medium to maintain optimal operating temperatures.
How to Calculate Cooling Water Consumption?
The following steps outline how to calculate the Cooling Water Consumption.
- First, determine the heat load (H) in kilowatts.
- Next, determine the specific heat capacity (c) of the cooling fluid (for water it is about 4.18 kJ/kg·°C near room temperature).
- Next, determine the cooling-fluid density (ρ) in kg/m³ (for water it is about 998 kg/m³ near 20°C).
- Next, determine the temperature difference (ΔT) in degrees Celsius.
- Finally, calculate the cooling-water flow rate using the formula V̇ = H / (ρ · c · ΔT).
- If you need a total volume, multiply the flow rate by the operating time (for example, m³/h × hours).
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Heat Load (H) = 500 kW
Specific Heat of Water (c) = 4.18 kJ/kg°C
Temperature Difference (ΔT) = 10°C