Heat Transfer from a Micro Fin Array Heat Sink by Natural Convection and Radiation under Slip Flow Regime

摘要

in this study, the problem of natural convection and radiation heat transfer in a micro fin array heat sink is numerically investigated. A two-dimensional model is used to formulate the problem. The governing equations of the problem are mass, momentum and energy equations of the fluid along with conduction equation in the micro fin. The radiation exchange between two adjacent fins, between fin and base plate and between fin and ambition is considered. To address the micro dimensional effects of the problem Maxwell's velocity slip and Smoluchowski's temperature jump boundary conditions are used. A finite difference approach is used to solve transient vorticity-stream function formulation using the alternating direction implicit (ADI) scheme. The steady state velocity and temperature field which are obtained by marching through the transient stage, are used to calculate the local Nusselt number and total heat transfer. The effects of the fin height on the heat transfer are investigated through parametric studies.