Refrigerators and Heat Pumps

Reversed refrigeration cycles, heat pumps, and coefficients of performance COP.

General idea of the topic

A refrigerator and a heat pump are the same heat engine running in reverse: they consume work to force heat to flow from a cold reservoir to a hot one. This topic studies their operating principle and how to measure their effectiveness.

What you will truly understand

  • Why the second law forbids heat from spontaneously flowing from cold to hot, and why work must be supplied to achieve it.
  • That the coefficient of performance (COP) is not an efficiency in the classical sense and can be greater than one.
  • Why the same cycle serves as a refrigerator (the heat extracted from the cold reservoir matters) or as a heat pump (the heat delivered to the hot reservoir matters), depending on the desired effect.

Recommended learning route

  1. Operating Principle: the reverse cycle of a heat engine.
  2. Coefficient of Performance: how the effectiveness of refrigerators and heat pumps is measured.
  3. Practical Examples: application to real refrigeration and climate-control systems.

Physical criterion you must acquire

Before calculating a COP, identify whether the device is a refrigerator (COP referred to the heat extracted from the cold reservoir) or a heat pump (COP referred to the heat delivered to the hot reservoir): both use the same input work, but the resulting COP differs.

Connection with real problems

Household refrigerators, air conditioners, heat pumps for space heating, and industrial cryogenics systems are designed and compared directly through their coefficient of performance.

Final goal of the topic

Correctly apply the reverse operating principle of these machines and calculate their coefficient of performance in real refrigerators and heat pumps.

Topics in this section

  • Operating Principle

    Operating principle of refrigerators and heat pumps: reversed cycle and external work

  • Coefficient of Performance

    Coefficient of performance (COP) of refrigerators and heat pumps: definition, Carnot limit and relationship between both modes

  • Practical Examples

    Practical examples of refrigerators and heat pumps: system sizing, energy consumption calculation and comparison with theoretical limits