A Heat Transfer Correlation for the Hollow Hybrid Fin Heat Sink Subjected to Air Impingement

Abstract

This work shows the development of a Nusselt number correlation for the prediction of the heat transfer performance of the hollow hybrid fin heat sink (HHFHS) under impinging airflow conditions. The HHFHS consists of an array of hollow pin fins with radially integrated plate fins and perforations near fin bases. The hollow fin channel, the perforation, and the radial plate fins of the HHF provide surface area enhancement and mass reduction. The CFD analysis of more than 200 cases from multiple combinations of geometric parameters and flow conditions were utilized to develop a Nusselt number correlation. Using these results, the Nusselt number was correlated by considering Reynold and Prandtl numbers, heat sink area, outer fin diameter, plate fin width, fin height, and base length. Despite the tremendous number of geometric and flow variables, the correlation predictions and the CFD results show reasonable agreement.