Steady State Heat Conduction Problem of Two Dimensional

• Main Authors: Poo-Sui Luong, 龍柏旭
• Other Authors: Ru-Li Lin
• Format: Others
• Language: zh-TW
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/09671144578268311782

碩士 === 南台科技大學 === 機械工程系 === 96 === Layered media are widely used in many engineering applications such as the composite material and the coating layer of the IC chip. This paper investigates the steady state problem of infinite plane, semi-infinite plane, bimaterial, layer and composite layer media. The theoretical full-field solution can be obtained with aid of Fourier transform technique and image method. In this study, a two-dimensional problem of steady state conduction for a composite finite wedge is solved. The Green’s function of infinite composite wedge was obtained by using Mellin transform technique. Explicit closed-form solutions of finite wedge and composite wedge are derived in conjunct with the image method and conformal mapping. The composite wedges consist of two materials with equal apex angle and are perfect bonded at the interface. The applied loadings include either concentrated heat source in the material or distributed temperature along the boundary. The boundary conditions are considered to be isothermal or thermal isolation. Numerical results of full-field heat flux and temperature distribution are presented and discussed in detail.