Optimization of the rate of exergy output for an endoreversible Carnot refrigerator

By using finite-time thermodynamic theory, the optimal performances related to exergy of a Carnot refrigerator under the influence of thermal resistance are studied. The optimal relations between the rate of exergy output and the coefficient of performance and between the rate of exergy output and the rate of refrigeration are derived. Moreover, the main characteristics of the two optimal relations are discussed and some uses of the concept of exergy in finite-time thermodynamic theory are expounded. Some novel and useful results are obtained. Finally, it is pointed out that to extend the traditional exergy analysis using the theory of finite-time thermodynamics is quite important.