Singular boundary method for steady-state heat conduction in three dimensional general anisotropic media

2012 ◽  
Vol 55 (17-18) ◽  
pp. 4837-4848 ◽  
Author(s):  
Yan Gu ◽  
Wen Chen ◽  
Xiao-Qiao He
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Three Dimensional ◽  
Anisotropic Media ◽  
Singular Boundary ◽  
State Heat ◽  
Boundary Method ◽  
Steady State Heat ◽  
Singular Boundary Method

Three-Dimensional, Steady-State Heat Conduction in Cylinders of General Anisotropic-Media

1979 ◽  
Vol 101 (3) ◽  
pp. 548-553 ◽  
Author(s):  
Y. P. Chang ◽  
K. C. Poon
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Fourier Transforms ◽  
Coupling Effect ◽  
Three Dimensional ◽  
Anisotropic Media ◽  
State Heat ◽  
Change Of Variables ◽  
Steady State Heat ◽  
Kummer's Equation

This paper provides the analytical solution of three-dimensional steady-state heat conduction in solid and hollow cylinders of general anisotropic-media. By the use of Fourier transforms and a change of variables the partial differential equation is reduced to Kummer’s equation. Some calculated results for a solid cylinder are shown and discussed. A parameter γ is found to represent the coupling effect of three-dimensional anisotropy. For small values of γ, an approximate solution is recommended. The inequality σ > 0 which was found in an earlier paper is further discussed.

Calculation of three-dimensional nearly singular boundary element integrals for steady-state heat conduction

2015 ◽  
Vol 60 ◽  
pp. 137-143 ◽  
Author(s):  
Guizhong Xie ◽  
Liangwen Wang ◽  
Jianming Zhang ◽  
Dehai Zhang ◽  
Hao Li ◽  
...  
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Boundary Element ◽  
Three Dimensional ◽  
Singular Boundary ◽  
State Heat ◽  
Steady State Heat

scholarly journals A meshless average source boundary node method for steady-state heat conduction in general anisotropic media

2018 ◽  
Vol 75 (5) ◽  
pp. 1739-1755 ◽  
Author(s):  
Yao-Ming Zhang ◽  
Fang-Ling Sun ◽  
Wen-Zhen Qu ◽  
Yan Gu ◽  
Der-Liang Young
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Anisotropic Media ◽  
Boundary Node ◽  
State Heat ◽  
Steady State Heat
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