Abstract In a classical endoreversible Carnot refrigeration model, irreversibility in the form of heat resistances between the reversible Carnot cycle and its heat reservoirs is taken into account. This paper presents a new steady-state flow model that incorporates several internal irreversibilities, such as heat leak, friction, turbulance, etc. These added irreversibilities are characterized by a constant parameter and a constant coefficient. An optimization analysis of the model has been carried out that allows assessments of the effects of the various irreversibilities on the performance of the cycle. Numerical examples are given to illustrate the practicality of the model.