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Difference Scheme for Hyperbolic Heat Conduction Equation with Pulsed Heating Boundary 被引量:2

Difference Scheme for Hyperbolic Heat Conduction Equation with Pulsed Heating Boundary
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摘要 In this paper, the authors have analyzed the second-order hyperbolic differential equation with pulsed heating boundary, and tried to solve this kind of equation with numerical method. After analyzing the error of the difference scheme and comparing the numerical results with the theoretical results, the authors present some examples to show how the thermal wave propagates in materials. By analyzing the calculation results, the conditions to observe the thermal wave phenomena in the laboratory are conferred. Finally the heat transfer in a complex combined structure is calculated with this method. The result is quite different from the calculated result from the parabolic heat conduction equation. In this paper, the authors have analyzed the second-order hyperbolic differential equation with pulsed heating boundary, and tried to solve this kind of equation with numerical method. After analyzing the error of the difference scheme and comparing the numerical results with the theoretical results, the authors present some examples to show how the thermal wave propagates in materials. By analyzing the calculation results, the conditions to observe the thermal wave phenomena in the laboratory are conferred. Finally the heat transfer in a complex combined structure is calculated with this method. The result is quite different from the calculated result from the parabolic heat conduction equation.
出处 《Journal of Thermal Science》 SCIE EI CAS CSCD 2000年第2期152-157,共6页 热科学学报(英文版)
关键词 双曲型微分方程 热脉冲 数字方法 second-order hyperbolic differential equation, pulsed heating boundary,numerical method
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  • 1S. H. Hyun,T. Y. Kim,G. S. Kim,H. H. Park.Synthesis of low-k porous silica films via freeze drying[J].Journal of Materials Science Letters.2000(20)

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