This paper develops an analytical model to predict the overall thermal resistance of a parallel plate heat sink associated with a non-uniform heat source. Using constrictive ratio and apparent interface ratio to interpret equivalent heat source area and maximal heat flux on source-to-sink contacting surface, the non-uniform heat source problem can be simplified as an equivalent uniform heat source problem. Then by using the existed correlations the present model can calculate the overall thermal resistance as a function of heat sink geometry, properties, interface conditions, and airflow velocity. An experimental investigation is performed to verify the theoretical model. Prediction results show good agreement with experimental measurements over a number of testing units. A case study of optimum is also proposed to demonstrate and understand the effects of variable constrictive ratio and apparent interface resistance.

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