Analysis of a Vapor-Compression Refrigeration Cycle
Introduction
This application analyzes the following refrigeration cycle, and calculates the coefficient of performance.
Additionally, the thermodynamic cycle will be plotted on a pressure-enthalpy-temperature chart.
The compressor, condenser, throttle and evaporator are analyzed in sequence with this equation, a statement of the conservation of energy,
q - w= Δh + ΔKE + ΔPE
where
w is the work done by the component
ΔKE and ΔPE are the changes in kinetic and potential energy
Δh is the change in specific enthalpy
q is the heat transferred to the system
Compressor
Consider the energy flows in the compressor. For an adiabatic process, q = 0. Also ΔKE = 0 and ΔPE = 0. Hence -w = Δh
Enthalpies at points 1 and 2
The work done by the compressor (w)
Pressure at point 1
Condenser
For the condenser, w = 0, ΔKE = 0 and ΔPE = 0. Hence q = Δh
Enthalpy at point 3
Throttle
For the throttle, q = 0, w = 0, ΔKE = 0 and ΔPE = 0. Hence Δh = 0
Enthalpy at point 4
Saturation pressure of R134a at 253 K
Quality at P = press4 and H = h4
Evaporator
For the evaporator, w = 0, ΔKE = 0 and ΔPE = 0. Hence q = Δh
Heat extracted by evaporator
Coefficient of Performance
Plot the Refrigeration Cycle on a P-h-T Chart