Some steady-state problems in heat conduction theory for wedges with boundary conditions of the third kind

1966 ◽  
Vol 11 (2) ◽  
pp. 131-135
Author(s):  
B. A. Vasil'ev
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Boundary Conditions ◽  
The Third ◽  
Conduction Theory

Collocation Trefftz Method for the Heat Conduction Issue in Irregular Domain

2012 ◽  
Vol 516-517 ◽  
pp. 146-155 ◽  
Author(s):  
Hong Ming Fan ◽  
Dan Zhang ◽  
Hang Yu
Keyword(s):  
Heat Conduction ◽  
Steady State ◽  
Boundary Conditions ◽  
Analytical Method ◽  
Arbitrary Shape ◽  
Form Solution ◽  
Irregular Domain ◽  
Trefftz Method ◽  
Steady State Heat ◽  
Separated Variables

Rules for non-orthogonal borders of irregular domain is the thorny issues when using analytical method for solving mathematical and physical equations. On the basis of solution in the form of separated variables, the border of arbitrary shape with non-orthogonal boundary will be separated into a limited number of discrete points, and then direct assignment for the form solution at each of the discrete points on the border according to boundary conditions, at every discrete points on the border can establish an equation. If the number of discrete points on the border is the same with truncated series after retained series, all coefficients of the form solution can be determined and the problem solved. This paper use Laplace equation as an example to illustrate Collocation Trefftz Method can solve certain steady-state heat conduction problems within non-orthogonal border and irregular domain.

Sign in / Sign up

Export Citation Format

Share Document