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超急速传热时球体内非稳态热传导的非傅里叶效应
引用本文:张浙,刘登瀛.超急速传热时球体内非稳态热传导的非傅里叶效应[J].工程热物理学报,1998(5).
作者姓名:张浙  刘登瀛
作者单位:中国科学院工程热物理研究所!北京,100080,中国科学院工程热物理研究所!北京,100080
基金项目:国家自然科学重点基金,中国科学院“九五”基础性研究重大项目,中国博士后科学基金
摘    要:本文分析了球形物体表面加有一突然温度变化这类超急速传热情形下的热波传播特性.基于超急速传热条件下,热流矢的传播和温度梯度的形成之间存在时间延迟的概念,本文采用双曲型热传导方程来描述该高度非稳态热传导问题,得到了球体内部温度分布的解析表达式.同时将所得解与抛物型热传导方程的解进行了比较,分析了其热传导的非傅里叶效应与产生条件.

关 键 词:超急速传热  非傅里叶效应  球形材料

NON-FOURIER EFFECTS IN RAPID TRANSIENT HEAT CONDUCTION IN A SPHERICAL MEDIUM
ZHANG Zhe, LIU Dengying.NON-FOURIER EFFECTS IN RAPID TRANSIENT HEAT CONDUCTION IN A SPHERICAL MEDIUM[J].Journal of Engineering Thermophysics,1998(5).
Authors:ZHANG Zhe  LIU Dengying
Abstract:Thermal wave propagation in a spherical medium with a sudden temperature change on its surface is considered. Based on the concept of lagging response in time between the propagation of heat flux and the establishment of temperature gradient in materials under rapid transient heating, hyperbolic heat conduction equation is employed to describe this non-stationary heat conduction problem involving high-rate change of temperature. Ananalytical expression of the temperature field in the sphere is determined. The variationsof non-Fourier temperature profiles under different conditions are calculated and analyzed. Comparison with the solutions obtained for parabolic heat conduction is also performed.
Keywords:rapid transient heat transfer  non-Fourier effects  spherical medium
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