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Use of Boundary Sources in Problems of Heat Conduction

 

作者: John Reitzel,  

 

期刊: Journal of Applied Physics  (AIP Available online 1967)
卷期: Volume 38, issue 10  

页码: 3808-3810

 

ISSN:0021-8979

 

年代: 1967

 

DOI:10.1063/1.1709020

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A method is presented for solving problems of one‐dimensional heat flow in regions with plane, spherical, or cylindrical boundaries. It is based on the physical concept of a uniform continuous‐source distribution on the boundary, whose strength varies with time in such a way as to meet the prescribed boundary condition. Examples of the method are given, including the solution for the temperature in a half‐space with an initial steady gradient of temperature and the boundary condition (∂T/∂x) −w(∂T/∂t) −hT= −h&thgr;.

 

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