Ecological performance of an endoreversible Carnot refrigerator with complex heat transfer law

The optimal ecological objective of an endoreversible Carnot refrigerator based on a new generalised heat transfer law q alpha (Delta T-n)(m), including generalised convective heat transfer law and generalised radiative heat transfer law, is derived. The ecological objective function representing the best compromise between the exergy output rate and exergy loss rate (entropy production rate) of the refrigerator. The results include the optimal ecological performance of the endoreversible Carnot refrigerator with various heat transfer laws, which obtained in many literatures.