Variational-iterative method for conductive-radiative heat transfer in spherical inhomogeneous medium

被引：4
|
作者：
El-Wakil, SA [1 ]
Abulwafa, EM [1 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Phys, Mansoura, Egypt
来源：
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER | 2000年 / 14卷 / 04期
关键词：
Anisotropy - Boundary conditions - Heat conduction - Heat flux - Nonlinear equations - Polynomials - Refractive index - Shells (structures) - Variational techniques;
D O I：
10.2514/2.6568
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
The coupled of conductive and radiative heat transfer in an inhomogeneous, anisotropically scattering gray medium contained in a spherical shell of diffusively reflecting boundaries having constant temperatures is considered. The variational method is used to solve the radiative problem using trial functions in terms of the Pomraning solution of the differential form of the free-source problem. The nonlinearity problem between the radiative transfer equation and the conductive energy equation is solved using an iterative method. These values of the radiative net flux are used to find new values for the temperature distribution.
引用
收藏
页码：612 / 615
页数：4
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