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Chiller Cooling Capacity – How to calculate

 

chiller cooling capacity calculation
chiller cooling capacity calculation

How to calculate the cooling capacity of a chiller. The chillers provide chilled water which is then used to provide air conditioning in the buildings. The amount of cooling they produce varies and it is important to know how much cooling a chiller produces or is capable of producing. 

There is also a video tutorial at the bottom of the page.

First of all, to perform this calculation, we need to know a few things.

·         The volumetric flow rate of water in the evaporator.

·         Chilled water temperature at the inlet and outlet

So we need to investigate the properties of water for the following

·         The density of water at the average temperature (inlet temperature + outlet temperature)/2

·         The specific heat capacity of the chilled water at the average temperature (inlet temperature + outlet temperature)/2

A recommended website to search for these properties is: PeaceSoftware.de

Cooling capacity of a chiller, what we should know
Cooling capacity of a chiller, what we should know

Let's see how to calculate the cooling capacity. First we will see how to calculate in metric units, then in imperial units.

Metric units:

The flow of chilled water in the evaporator is 0.0995 m3/s, the inlet temperature is 12*c, and the outlet temperature is 6*c. This means that the average temperature is 9*c, so we investigate the properties of water at this temperature to find the density of 999.78 kg/m3 and a specific heat capacity of 4.19 kJ/kg/K.


Using the energy equation of Q = ṁ x Cp x ΔT we can calculate the cooling capacity.

Q = (999.78 kg/m3 x 0.0995 m3/s) x 4.19 kJ/kg/K x ((12*c+273.15K) – (6*c+273.15K))

We add 273.15K to the celcius to convert it to Kelvin units. Specific heat capacity (Cp) is measured in units of kJ per kg per Kelvin.

This gives us a final answer of Q = 2500 kW of cooling. The full calculations are shown below.


Now let's see how to calculate the cooling capacity of a chiller in imperial units.

Imperial units:

Chilled water flow through the evaporator is measured at 12,649 cfh and chilled water entering temperature is 53.6*F, leaving temperature is 42.8*F. The average temperature is 48.2*F, so we need to calculate the properties of water at that temperature.

Peacesoftware.de is a good website for this although we need to convert the units to imperial units, so we'll use the specific heat capacity and density of water. and density of water

This will give us a specific heat capacity of 1,0007643BTU/lb.F and a density of 62,414lb/Ft3

Using the energy equation of Q = ṁ x Cp x ΔT we can calculate the cooling capacity.

Q = (16,649FT3/h x 62.414lb/ft3) x 1.0007643BTU/lb.F x (53.6F – 42.8F)

Giving us a cooling capacity of 8,533,364 BTU/hr. see full calculations below.

calculate the cooling capacity of a chiller imperial units how to calculate the cooling capacity of a chiller

calculate the cooling capacity of a chiller imperial units how to calculate the cooling capacity of a chiller

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