A thermodynamic model of an irreversible Carnot refrigerator with heat recovery (CRHR) working between two high temperature reservoirs (TH and TR) and one low temperature heat reservoir (TL) has been established in this paper for optimization of allocation of heat transfer areas. For the CRHR distinguishing from the Carnot refrigerator working between two heat reservoirs (TH and TL), there are two important performance parameters, including refrigeration coefficient (ε) and heat recovery coefficient (εR), existing in the cycle. The comprehensive coefficient of performance (COPint) and the optimal value range (U) have been put forward to reflect the combined influence of ε and εR. A numerical example of the CRHR has been studied and the effect of the heat leakages (q and q0) and internal irreversibility factor (Φ) have been analyzed. The exergy efficiency optimization based on the thermodynamic model has also been researched. This work provides a theoretical value range for optimal allocation of heat transfer areas of the CRHR. And it is helpful to the design and optimization and related standard forming of the refrigerator with heat recovery.
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