Heat Pumps

A vapor-compression heat pump moves heat from a low-temperature source to a higher-temperature sink. In heating mode, the outdoor coil acts as the evaporator, absorbing Q_L; the compressor raises the refrigerant pressure and temperature; the indoor coil acts as the condenser, releasing Q_H; and the expansion valve reduces refrigerant pressure before it returns outdoors. A reversing valve can interchange the evaporator and condenser roles for cooling. The steady-flow energy balance is Q_H = Q_L + W, where W is compressor work. Consequently, heating COP can exceed 1 because both absorbed heat and input work are delivered indoors. Actual COP decreases as the temperature lift between source and sink increases. Frost accumulation on an air-source outdoor coil also degrades heating performance and requires periodic defrosting.

Governing FormulaCOP_heating = Q_H/W_input COP_cooling = Q_L/W_input COP_heating = COP_cooling + 1 Q_H = Q_L + W_input COP_heating,max = T_H/(T_H - T_L) (Kelvin)

Knowledge Check

10 Questions

1.What is the normal refrigerant flow sequence in a simple vapor-compression heat pump?

2.A heat pump absorbs 8 kW from the outdoor source while the compressor uses 2 kW. How much heat is delivered indoors?

3.If a heat pump delivers 10 kW of heat using 2 kW of electrical input, what is its heating COP?

4.A reversible heat pump has a cooling COP of 4. What is its heating COP for the same operating temperatures and ideal energy balance?

5.Why can a heat pump have a heating COP greater than 1 without violating thermodynamics?

6.What is the primary function of the expansion valve in a heat pump?

7.What does the reversing valve do in a reversible heat pump?

8.What generally happens to heat-pump COP when the temperature lift between source and sink increases?

9.For an ideal heat pump operating between T_H = 320 K and T_L = 280 K, what is the maximum theoretical heating COP?

10.Why does frost formation reduce the heating capacity of an air-source heat pump?