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Optimal shape design for packaging containing heating elements by inverse heat transfer method
Authors:Chin-Hsiang Cheng  Hong-Hsiang Lin  Win Aung
Institution:(1) Department of Mechanical Engineering, Tatung University, Taipei, Taiwan, ROC,;(2) Distinguished Visiting Professor, New Jersey Institute of Technology, Newark, NJ, USA,;(3) Professor of Department of Mechanical Engineering, Tatung University, 40 Chungshan N. Road, Sec. 3, Taipei, Taiwan 10451, R.O.C.,
Abstract:The present study is concerned with the determination of the optimal shape for a package containing multiple heating elements. The optimization tool has been developed based on the inverse heat transfer (IHT) approach, incorporating a direct problem solver, a numerical grid generator, a direct-differentiation sensitivity analyzer, and the conjugate gradient method. Shape design that leads to a specified outer surface temperature distribution is predicted by the approach. In this study, the effects of internal heat generation on optimal shapes of the packagings have also been evaluated. Several practical cases with various imbedded heating elements and thermal conditions are studied. Results show that the approach provides an efficient computer-aided design scheme for the shape profile determination.
Keywords:Optimization  Shape design  Packaging  Conjugate gradient
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