How to calculate chiller cooling capacity?

20, May. 2024

 

Chiller Cooling Capacity - How to calculate

If you want to learn more, please visit our website Cooling Capacity of Chiller.

How to calculate the cooling capacity of a chiller. Chillers provide chilled water which is then used to provide air conditioning within buildings. The amount of cooling they produce varies and it’s important to know how much cooling a chiller is producing or is able to produce. There is a video tutorial at the bottom of the page also.

Firstly to perform this calculation we need to know a few things.

  • The volume flow rate of water into the evaporator
  • The inlet and outlet chilled water temperature

We then need to lookup the properties of water for the following

  • The density of the water at the average temperature (inlet temp + outlet temp)/2
  • The Specific Heat Capacity of the chilled water at the average temperature (inlet temp + outlet temp)/2

A recommended website to look these properties up is: PeaceSoftware.de

Cooling capacity of a chiller, what we need to know

Let look at how to calculate the cooling capacity. We’ll first look at how to calculate in metric units and then imperial.

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

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

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

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

This gives us a final answer of Q = 2,500kW of cooling. Full calculations are shown below.

Now lets look at how to calculate the cooling capacity of a chiller in imperial units

Imperial units:

The flow rate of chilled water into the evaporator is measured as 12,649ft3/h and the chilled water inlet temperature is 53.6*F the outlet temperature is 42.8*F. The average temperature is 48.2*F so we need to calculate the water properties at this temperature.

A good website for this is peacesoftware.de the although we will need to convert the units to imperial so for that we will use Specific heat capacity and density of water

This will give us a specifi heat capacity of 1.0007643BTU/lb.F and density of 62.414lb/Ft3

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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 8,533,364BTU/h. see full calculations below.

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

Chiller Tonnage Sizing & Capacity Calculator

We have developed and adopted numerous “rules of thumb” to assist our customers in their quest for cost effective, efficient industrial cooling solutions.  We have shared these “shortcuts” on pages on our site for your convenience.  We have an experienced team waiting to assist you with your specific requirements.  Please feel free to call or email any specific needs and we will promptly reply to your request.

Plug in the following three inputs into the calculator above to get the estimated chiller size you need for your application.

  • The incoming water temperature
  • The chill water temperature you require
  • The flow rate

Still not sure what chiller you need? We have an experienced team waiting to assist you with your specific requirements.  Please feel free to contact us with any specific needs or questions and we will promptly reply to your request.

General Industrial Chiller Sizing Formula

General Industrial Chiller Sizing Formula

Looking for another way to find the right chiller size for your industry and application? You can generally calculate it using this formula:

  1. Calculate Temperature Differential (?T°F)
    • ?T°F = Incoming Water Temperature (°F) – Required Chill Water Temperature
  2. Calculate BTU/hr.
    • BTU/hr. = Gallons per hr x 8.33 x ?T°F
  3. Calculate tons of cooling capacity
    • Tons = BTU/hr. ÷ 12,000
  4. Oversize the chiller by 20%
    • Ideal Size in Tons = Tons x 1.2

If you follow these steps, you should have the ideal chiller size for your needs. Here’s an example of the formula in action:

Scenario: What size chiller is required to cool 40GPM from 70°F to 58°F?

  1. ?T°F = 70°F – 58°F = 12°F
  2. BTU/hr. = 40gpm x 60 x 8.33 x 12°F = 239,904 BTU/hr.
  3. Ton Capacity = 239,904 BTU/hr. ÷ 12,000 = 19.992 Tons
  4. Oversize the chiller = 19.992 x 1.2 = 23.9904
  5. A 23.9904 or 25-Ton chiller is required

Industry-Specific Considerations

There also industry specific rules of thumb for chiller sizing depending on your application. Click the links below to see best practices for your industry:

Unsure what size chiller you need? Cold Shot Chillers is here to help. Contact us and we will work with you to determine the ideal sized chiller for your custom application.

For more Small Glycol Chillersinformation, please contact us. We will provide professional answers.