Average Rate of Heat Gain in Fridge

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Discussion Overview

The discussion revolves around estimating the average rate of heat gain in a common refrigerator, with participants sharing insights and calculations related to this concept. The scope includes experimental approaches and theoretical considerations regarding heat transfer and energy consumption in refrigeration systems.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about the average rate of heat gain for a refrigerator, indicating an intention to conduct an experiment to measure this.
  • Another participant suggests that an average efficient refrigerator uses about 50 kWh per month, providing a link to a cost guide as a reference point for energy consumption.
  • A repeated inquiry emphasizes that the heat gain depends on factors such as the refrigerator's set point temperature and the ambient temperature, suggesting that a rule of thumb could be derived from the temperature difference and surface area.
  • A technical contribution outlines a method to calculate heat gain using the Carnot Vapor Refrigeration Cycle, presenting a formula for the coefficient of performance and suggesting that with specific temperature values and power consumption, the average heat gain could be estimated around 1000 watts.

Areas of Agreement / Disagreement

Participants express varying approaches to estimating heat gain, with some focusing on empirical data and others on theoretical calculations. There is no consensus on a specific value or method, and the discussion remains open-ended.

Contextual Notes

The discussion highlights dependencies on specific temperatures and assumptions regarding efficiency and power consumption, which may affect the accuracy of the calculations presented.

Jacob87411
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Just curious if anyone knows an approximate for the average rate of heat gain for a common fridge? I am going to do an experiment to calculate the average rate of heat gain in my fridge and want to know if my numbers in the ballpark
 
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An average household fairly efficient refrigerator will use about 50 kWh per month.

According to this cost guide:

http://www.pse.com/solutions/pdfs/1236_RES_EnergyCostGuide.pdf"

That will maybe give you a starting point.
 
Last edited by a moderator:
Jacob87411 said:
Just curious if anyone knows an approximate for the average rate of heat gain for a common fridge? I am going to do an experiment to calculate the average rate of heat gain in my fridge and want to know if my numbers in the ballpark

Did you ever find out? I'm trying to find out. Of course, the answer depends on the refrigerator (set point) temperature and the ambient temperature. Still, there should be a rule of thumb that requires only a) the temperature difference between the refrigerator and exterior and b) the refrigerator surface area.
 
All you need is the average power consumption of the refrigerator, the temperature of the refrigeration compartment, and ambient temp. If you approximate the refrigerator as a Carnot Vapor Refigeration Cycle, you can calculate the coefficient of performance using just the temps:

\beta_{max}=\frac{T_{c}}{T_{h}-T_{c}}

and using the coefficient of performance and the power input (with an efficiency for the the compressor, maybe 80%), the heat gain is calculated as:

\dot{Q}_{in}=\beta_{max}*\frac{\dot{W}_{c}}{\eta}

So for a refrigerator holding at 35 degrees fahrenheit (275 K) and ambient of 75 degrees fahrenheit (297 K), with an average power consumption of 70 watts (50kWh per month), and assuming the power consumption is mainly from the compressor, the average heat gain would be about 1000 watts if I did the calcs right...
 
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