Abstract
An analysis of the coefficient of performance (COP) and its bounds at maximum figure of merit for refrigerators is conducted and the heat transfer processes are described using Newton’s law of cooling with a time-dependent heat conductance. The upper bound of the COP, , is independent of the time duration completing either process or the heat conductance. The optimal temperature profiles in the heat exchanging processes are analyzed under different dimensionless contact time limits. Provided the dimensionless contact times satisfy certain relations, the endoreversible model is recovered. Furthermore, numerical calculations are conducted to investigate the effect of different heat conductances on temperature profiles under the maximum criterion. This work can guide design and operation of actual refrigerators.
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