TRANSIENT TEMPERATURE RESPONSE OF SPHERICAL BODIES

被引：2
|
作者：
Choudhury, Bejoy K. [1 ]
机构：
[1] Lockheed Martin Space Syst, Sunnyvale, CA USA
来源：
QUARTERLY OF APPLIED MATHEMATICS | 2011年 / 69卷 / 02期
关键词：
Heat conduction; diffusion; radiation; Laplace transform; HEAT-CONDUCTION; EIGENVALUES;
D O I：
10.1090/S0033-569X-2011-01193-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fundamental temperature solutions in closed form of composite spherical bodies are given for mixed and time-dependent boundary conditions. Solid and hollow spherical bodies are included as further examples. The solution requires calculating the roots of certain transcendental equations. A method is developed to find the roots rapidly. As a practical application, the two-layer composite solution is used to determine the available fuel mass of an orbiting spacecraft.
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页码：205 / 225
页数：21
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