# Chilled Water Systems

## Chilled water system equations - evaporator and condenser flow rates

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In a chilled water system the water is cooled down to *40 - 45 ^{o}F (4 - 7^{o}C)* by an centralized evaporator, distributed throughout the building in pipes and connected locally to air condition cooling units wherever needed.

### Total Heat Removed

The total heat removed by an air condition chilled-water system can be calculated

h = 500 q dt (1)

where

h = total heat removed (Btu/h)

q = water flow rate (gal/min)

dt = temperature difference (^{o}F)

### Evaporator Flow Rate

The evaporator water flow rate can be calculated

q_{e}= h_{tons}24 / dt (2)

where

q_{e}= evaporator water flow rate (gal/min)

h_{tons}= air condition cooling load (tons)

### Condenser Flow Rate

The condenser water flow rate:

q_{c}= h_{tons}30 / dt (3)

where

q_{c}= condenser water flow rate (gal/min)

h_{tons}= air condition cooling load, chiller tonnage (tons)

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