| Exact Variational Principle For 3-D Unsteady Heat Conduction With Second Sound |
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| 作者姓名： | Gaolian LIU Institute of Mechanics Shanghai University Shanghai China |
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| 作者单位： | Gaolian LIU Institute of Mechanics，Shanghai University，Shanghai 200072，China |
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| 摘 要： | The exact variational formulation of the extended unsteady heat conduction equation with finite propagationspeed(the 2nd sound speed)of hyperbolic type is derived herein via a systematic and natural way.Moreover,theboundary- and the physically acceptable initial-value conditions are accommodated in the variational principle bya novel method suggested just recently.In this way a perfect justification of the variational theory of transient heatconduction and a rigorous theoretical basis for the finite element analysis of heat conduction are provided.
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| 关 键 词： | 热传导 传热 技术性能 机械 |
| 收稿时间： | 15 June 2006 |
Exact variational principle for 3-D unsteady heat conduction with second sound |
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| Gaolian LIU Institute of Mechanics,Shanghai University,Shanghai ,China.Exact Variational Principle For 3-D Unsteady Heat Conduction With Second Sound[J].Journal of Thermal Science,2006,15(4):361-363. |
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| Authors: | Gaolian Liu |
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| Affiliation: | (1) Institute of Mechanics, Shanghai University, Shanghai, 200072, China |
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| Abstract: | The exact variational formulation of the extended unsteady heat conduction equation with finite propagation speed(the 2nd sound speed)of hyperbolic type is derived herein via a systematic and natural way.Moreover,the boundary- and the physically acceptable initial-value conditions are accommodated in the variational principle by a novel method suggested just recently.In this way a perfect justification of the variational theory of transient heat conduction and a rigorous theoretical basis for the finite element analysis of heat conduction are provided. |
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| Keywords: | variational principle unsteady heat conduction finite element method |
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