scholarly journals A Similarity Solution to the Heat Transfer Problem for an Isotropic Half-Space Featuring a Film-Coated Moving Boundary

2017 ◽  
Author(s):  
А.В. Аттетков ◽  
◽  
П.А. Власов ◽  
И.К. Волков ◽  
◽  
...  
Keyword(s):  
Heat Transfer ◽  
Half Space ◽  
Similarity Solution ◽  
Moving Boundary ◽  
Transfer Problem ◽  
Heat Transfer Problem

A Technique with a Correction Term for Unsteady State Heat Transfer Problem with Moving Boundary

2016 ◽  
Vol 13 (02) ◽  
pp. 1640010 ◽  
Author(s):  
R. P. Niu ◽  
G. R. Liu ◽  
M. Li
Keyword(s):  
Heat Transfer ◽  
Moving Boundary ◽  
Transfer Problem ◽  
Correction Term ◽  
Heat Transfer Problem ◽  
Unsteady State ◽  
The Finite Element Method ◽  
State Heat ◽  
Time Marching ◽  
Previous Step

The paper proposes a general formulation for simulating unsteady state heat transfer problem with moving boundaries. The method is equipped with a correction term based on the finite element method. In dealing with the unsteady behavior, forward time marching is performed using the finite difference method. We introduce a correction term to effectively deal with the moving boundary effects, which directly uses the nodal temperature at the previous step in the time marching process. A mathematical study has been conducted to examine the theoretical basis. Finally, intensive numerical experiments are conducted to demonstrate effectiveness and stability of the proposed procedure.

Coupled FEM-BEM Approach for Axisymetrical Heat Transfer Problems

2008 ◽  
Vol 273-276 ◽  
pp. 740-745
Author(s):  
Gennady Mishuris ◽  
Michał Wróbel
Keyword(s):  
Heat Transfer ◽  
Half Space ◽  
Integral Transform ◽  
Transfer Problem ◽  
Mixed Boundary ◽  
Nonlocal Boundary ◽  
Fem Analysis ◽  
Nonlocal Boundary Conditions ◽  
Problem Solution ◽  
Infinite Domain

This work deals with a stationary axisymmetrical heat transfer problem in a combined domain. This domain consists of half-space joined with a bounded cylinder. An important feature of the problem is the possible flux singularity along the edge points of the transmission surface. Domain decomposition is used to separate the subdomains. The solution for an auxiliary mixed boundary value problem in the half space is found analytically by means of Hankel integral transform. This allows us to reduce the main problem in the infinite domain to another problem defined in the bounded subdomain. In turn, the new problem contains a nonlocal boundary conditions along the transmission surface. These conditions incorporate all basic information about the infinite sub-domain (material properties, internal sources etc.). The problem is solved then by means of the Finite Element Method. In fact it might be considered as a coupled FEM-BEM approach. We use standard MATLAB PDE toolbox for the FEM analysis. As it is not possible for this package to introduce directly a non-classical boundary condition, we construct an appropriate iterative procedure and show the fast convergence of the main problem solution. The possible solution singularity is taken into account and the corresponding intensity coefficient of the heat flux is computed with a high accuracy. Numerical examples dealing with heat transfer between closed reservoir (filled with some substance) and the infinite foundation are discussed.

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