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A low-order meshless model for multidimensional heat conduction problems
Authors:C Prax  H Sadat
Institution:Institut PPRIME, CNRS, Université de Poitiers, ENSMA UPR 3346, Département Fluides, Thermique, Combustion, ESIP, Campus Sud 40, avenue du recteur Pineau, 86022 Poitiers Cedex, France
Abstract:In this paper, a perturbation method is used to solve a two-dimensional unsteady heat conduction problem. Low-order transfer functions are defined. Step responses are obtained and compared to the complete numerical solutions given by a meshless method. The analytical results are found to be in good agreement with numerical solutions which reveals the effectiveness and convenience of the used method.
Keywords:Transfer functions  Step responses  Low-order  Heat conduction  Unsteady model
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