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首页> 外文期刊>International Journal of Heat and Mass Transfer >Thermal spreading resistance of hollow hemi-sphere with internal convective cooling
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Thermal spreading resistance of hollow hemi-sphere with internal convective cooling

机译：空心半球与内部对流冷却的热扩散电阻

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摘要

The 2-D steady-state heat transfer in a hollow hemi-sphere subjected to an arbitrary general heat flux on its pole, and convective cooling at the inner surface, is studied analytically. Closed-form mathematical expressions for temperature distribution and non-dimensional thermal resistance as a function of radii ratio, contact angle, and the Biot number, are derived and presented for two cases that simulate the flux distribution from isoflux and isothermal heat sources. The analytical solution is verified by using a finite-element numerical solution, developed in a commercially-available software, and comparing the results. Moreover, it is demonstrated that the present fundamental analysis provides a general solution for other problems found in the literature, including spreading resistance in hollow spheres with insulated walls, as well as the heat source on a half-space and infinite disk with an isothermal end.
机译：在其杆上经受任意一般热通量的空心半球中的2-D稳态传热和内表面上的对流冷却，分析地研究。推导出用于模拟来自异氟和等温热源的通量分布的两种情况的温度分布和非尺寸热阻的用于温度分布和非尺寸热阻的闭合性数学表达式。通过使用在市售软件中开发的有限元数值解决方案来验证分析解决方案，并比较结果。此外，证明本发明的基本分析为文献中发现的其他问题提供了一般性解决方案，包括在空心球中的抗扩散阻力与绝缘壁，以及半空间和具有等温末端的无限磁盘上的热源。

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