Transfer matrix analysis of a string heat exchange system for a semi-infinite plate

Abstract

The purpose of this study is to develop an optimization method to determine a heat exchange system for efficiently cooling a high-temperature medium. As a first step in constructing the heat exchange system, the shape of the high-temperature medium is considered to be a semi-infinite body, and point heat sources are arbitrarily distributed in this medium to form a temperature field. Then, the optimal shape of the heat exchange string is searched to efficiently reduce the temperature field in a semi-infinite body. Transfer matrix method was also developed to solve temperature distribution in the string.