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《JOURNAL OF ENGINEERING THERMOPHYSICS》 1998-05
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NON-FOURIER EFFECTS IN RAPID TRANSIENT HEAT CONDUCTION IN A SPHERICAL MEDIUM

ZHANG Zhe; LIU Dengying (Institute of Engineering Thermophysics, Academia Sinica, Beijing 100080)  
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.
【Fund】: 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
【CateGory Index】: TK12
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