关键词: 球壳, 非稳态导热, 分离变量法, 温度场, 球贝塞尔方程

Abstract: Hollow sphere, as a general model of solid sphere, is often used in heat transfer engineering projects, while it is seldom investigated. This model assumes that it has large convective heat transfer coefficient, a heat-insulative inner surface, and does not contain an inner heat source. The transient heat transfer model of a hollow sphere under a constant-heating environment is derivated, using the conventional method of seperation of variables. Particularly, the Cm coefficient in the complete solution can be obtained by spherical Bessel equation. Besides, a 3D temperature field is plotted using Matlab. This model supplies a general and convenient tool for analysis of homogeneous sphere heat tranfer problems.
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Key words: hollow sphere, transient heat transfer, method of seperation of variables, temperature field, spherical Bessel equation