Certain Anomalies in the Analysis of Hyperbolic Heat Conduction

A. Haji-Sheikh; W. J. Minkowycz; E. M. Sparrow

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Certain Anomalies in the Analysis of Hyperbolic Heat Conduction

机译：双曲热传导分析中的某些异常

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The hyperbolic diffusion equation is often used to analyze laser heating of dielectric materials and in thermal processing of nonhomogeneous materials. In this paper, anoma- lies in existing solutions of the hyperbolic heat equation are identified. In particular, the singularities associated with the interaction of a wave front and a boundary may cause a violation of the imposed boundary condition. This violation may give rise to physically unacceptable results such as a temperature drop due to heating or a temperature rise due to cooling.

机译：双曲扩散方程通常用于分析介电材料的激光加热和非均质材料的热处理。在本文中，确定了双曲线热方程的现有解中的异常。特别地，与波前和边界的相互作用相关联的奇异性可能导致违反所施加的边界条件。这种违反可能导致物理上不可接受的结果，例如由于加热引起的温度下降或由于冷却引起的温度上升。

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来源
《Journal of Heat Transfer》 |2002年第2期|p.307-319|共13页
作者
A. Haji-Sheikh; W. J. Minkowycz; E. M. Sparrow;
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作者单位

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类热力工程、热机;
关键词
Conduction; Heat Transfer; Microstructures; Nanoscale;

机译：传导传播热量;微观结构;纳米级;

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Certain Anomalies in the Analysis of Hyperbolic Heat Conduction

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