Ecological optimization of a generalized irreversible Carnot refrigerator in the case of Q alpha(Delta T-n)(m)

The optimal exergy-based ecological performance of a generalized irreversible Carnot refrigerator with losses of heat resistance, heat leakage and internal irreversibility is derived by taking an ecological optimization criterion as the objective. The transfer between the working fluid and heat reservoirs obeys a generalized heat transfer law Q alpha(Delta T-n)(m) . Some special examples are discussed. Results include the optimal ecological performance of the irreversible Carnot refrigerator with various heat transfer laws, which were obtained in many studies, and can provide some theoretical guidelines for the design of practical refrigerators.