Study on the Averaging Approach for Microchannel Heat Sinks for Electronics Cooling

평균 접근법을 이용한 전자 장치 냉각용 마이크로 채널 히트 싱크에 대한 연구

The present paper is devoted to the modeling based on an averaging approach for microchannel heat sinks. Firstly, analytic solutions for velocity and temperature distributions for low-aspect-ratio microchannel heat sinks are presented by using the averaging approach. When the aspect ratio of the microchannel is smaller than 1, analytic solutions accurately evaluate thermal resistances of heat sinks while the previous model cannot predict thermal resistances. Secondly, asymptotic solutions for velocity and temperature distributions at low-aspect-ratio limit and at high-aspect-ratio limit are presented by using the scale analysis. Asymptotic solutions are very simple, but shown to predict thermal resistances accurately.