Heating load vs. COP characteristic of an endoreversible Carnot heat-pump subjected to the heat-transfer law q ∝ (ΔTn)m

The relation between heating load and coefficient of performance (COP) of an endoreversible Carnot heat-pump is derived based on a new generalized convective heat-transfer law and generalized radiative heat-transfer law, q ∝ (ΔTn)m. Our results include those obtained in many literature studies and can provide some theoretical guidance for the designs of real heat pumps.