A 2.5D infinite element approach for modeling non-Fourier heat conduction subjected to moving heat sources

• Main Authors: Chong-Kai Chiu, 邱重凱
• Other Authors: Yeong-Bin Yang
• Format: Others
• Language: zh-TW
• Published: 2014
• Online Access: http://ndltd.ncl.edu.tw/handle/51824000159926839464

碩士 === 國立臺灣大學 === 土木工程學研究所 === 102 === Heat transfer analysis based on Fourier’s law has often been adopted to analyze the general heat conduction problem. However, it was found that the Fourier model fails to predict the temperature under some extreme conditions, such as rapid changes in temperature or extremely high or low temperatures. The Fourier heat equation implies that the propagation speed is infinite, while the non-Fourier heat equation is governed by the hyperbolic equation, which implies the propagation speed of heat waves is finite. Therefore, it was suggested that the traditional Fourier heat equation should be replaced with the non-Fourier heat equation to account for the finite thermal propagation speed. In this study, the analytical solution of the governing equation is solved by the Fourier transform. The effects of some physical parameters on the temperature response are presented. The 2.5D finite/infinite element procedure proposed by Yang and Hung (2001) is adopted to deal with the non-Fourier heat conduction problems. The unbounded properties of the semi-infinite domain are simulated by infinite elements. The responses of a semi-infinite field subjected to a moving heat load, both with and without a self-oscillation frequency, are investigated. Finally, by comparing the results obtained with the corresponding analytical solutions, some conclusions are made along with discussions.