A 2.5D approach for modeling non-Fourier heat conduction of solids subjected to moving heat sources

Autor: Hung-Yi Chang, 張宏毅
Rok vydání: 2012
Druh dokumentu: 學位論文 ; thesis
Popis: 100
Temperature is an important factor in engineering applications. To solve the temperature distribution of solids or structures, heat transfer analysis based on Fourier’s law has frequently been adopted. With the development of science and technology, heating technologies are applied more widely and more precisely, for example in problems involving laser beams and welding. However, it was found that, in some practical applications such as laser beams with short pulse or heat loads with rapid changes, heat transfer analysis using the traditional Fourier heat equation can result in large errors. Therefore, it was suggested that the traditional Fourier heat equation should be replaced with a non-Fourier heat equation to account for the finite thermal propagation speed. In this study, we will use the 2.5D finite/infinite element procedure (Yang and Hung, 2001a) for dealing with non-Fourier heat conduction problems. Originally, the 2.5D finite/infinite element procedure was proposed for dealing with ground vibrations induced by moving loads. At a first glance, there is no relationship between the mechanics and thermal problems. In fact, ground vibrations are the cause of traditional wave propagation problems, while the non-Fourier heat conduction is governed by the hyperbolic equation, which exhibits wave-like behavior. Thus, the two types of problems share similar nature, and can be treated by similar means. Finally, we will show the analysis results obtained by the model used, along with some conclusions and recommendations.
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