A novel boundary-type meshfree method for solving three-dimensional single-domain steady-state heat conduction problem

2019 ◽  
Vol 76 (6) ◽  
pp. 351-365
Author(s):  
Dong-Sheng Yang ◽  
Jing Ling ◽  
Jun Jiang ◽  
Hong-Ying Wang
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Heat Conduction Problem ◽  
Three Dimensional ◽  
Meshfree Method ◽  
Single Domain ◽  
Boundary Type ◽  
State Heat ◽  
Steady State Heat

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.

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