Multi-scale pin fins: Scale analysis and mathematical optimization of micro-pin fins arranged in rows

Abstract

This paper shows the performance of a cylindrical micro-pin ns with multiples-arrays structures for maximum heat transfer. The structures has a varying geometric sizes (diameter, height and spacing). The e ects of Reynolds number and thermal conductivity ratio on the optimized geometric con gurations and the maximum heat transfer rate is documented. Two design con guration were considered. Scales and computational uid dynamics analysis shows that the bene ts of varying n height is minimal. Results show that performace is increased when three rows of micro pin n heat sinks with a reduced degree of freedom ( xed height) when compared to two rows of micro pin ns heat sink for the same amount of material. The optimized diameters of the ns seems to have greatest e ect on perfomance of the heat sink.