IMECE2004-61062 ANALYTICAL THREE-DIMENSIONAL SOLUTION FOR HEAT SINK TEMPERATURE

ABSTRACT In the paper an analytical steady-state solution for heat transfer in a heat sink is presented. The heat sink consists of an array of fins and a base plate. The array is cooled by forced convection. There is a prescribed heat flux distribution at the bottom of the base plate. In order to obtain an analytical solution the assumption of a constant heat transfer coefficient is made. Furthermore, the array is assumed to be so short that the centerline temperature of the flow equals that of the free stream. The results are applied to a specific case of a single heat source, which generates constant heat flux and is mounted at the center of the bottom of the base plate. The use of the results is illustrated with a couple of simple numerical examples