CHILLED WATER FLOW RATE CALCULATIONS <
To calculate chilled water flow rate, you need to determine the chiller capacity, supply and return temperatures, and the specific heat of water. The formula used is Q = mcT, where Q is the heat transfer (chiller capacity), m is the mass flow rate of water, c is the specific heat of water, and T is the temperature difference between the supply and return water.
Here's a breakdown of the calculation:
1. Determine Chiller Capacity:
This is usually given in tons of refrigeration (TR) or kilowatts (kW).
2. Determine Supply and Return Temperatures:
These are the temperatures of the chilled water entering and leaving the cooling coil, respectively. A typical chilled water supply temperature is 6.7C (44F) and the return temperature is 12.2C (54F).
3. Use the Heat Transfer Formula:
The formula is: Q = mcT, where:
Q is the heat transfer (capacity in BTU/hr or kW).
m is the mass flow rate of water (lbs/hr or kg/s).
c is the specific heat of water (1 BTU/lbF or 4.187 kJ/kgC).
T is the temperature difference (supply - return).
4. Convert to Desired Units:
The result will be in the units you used for mass flow rate (e.g., lbs/hr or kg/s). You can then convert to gallons per minute (GPM) or liters per second (L/s) as needed.
Simplified Calculation (GPM):
A rule of thumb is to use 2.4 GPM per ton of refrigeration for chilled water, assuming a typical 10F temperature difference (54F return, 44F supply). This can be expressed as:
GPM = (TR * 24) / T according to some HVAC resources.
Where:
TR is the tonnage of the chiller.
24 is a constant derived from water properties and unit conversions.
T is the temperature difference between supply and return water.
Example:
For a 100-ton chiller with a 10F temperature difference:
GPM = (100 * 24) / 10 = 240 GPM.