Transient non-linear heat conduction-radiation problems?a boundary element formulation

1999 ◽  
Vol 46 (11) ◽  
pp. 1865-1882 ◽  
Author(s):  
Jutta Blobner ◽  
Ryszard A. Bia?ecki ◽  
G�nther Kuhn
Keyword(s):  
Heat Conduction ◽  
Boundary Element ◽  
Element Formulation ◽  
Linear Heat ◽  
Non Linear

scholarly journals Transient Non-Linear Heat Conduction Solution by a Dual Reciprocity Boundary Element Method With an Effective Posteriori Error Estimator

2004 ◽  
Author(s):  
Eduardo Divo ◽  
Alain J. Kassab
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Posteriori Error ◽  
Posteriori Error Estimate ◽  
Error Estimator ◽  
Spatial Error ◽  
Linear Heat ◽  
Non Linear ◽  
Element Method

A Dual Reciprocity Boundary Element Method is formulated to solve non-linear heat conduction problems. The approach is based on using the Kirchhoff transform along with lagging of the effective non-linear thermal diffusivity. A posteriori error estimate is used to provide effective estimates of the temporal and spatial error. A numerical example is used to demonstrate the approach.

scholarly journals Non-linear heat conduction with ramped surface heating ramp surface heating and approximate solution

2020 ◽  
Vol 24 (Suppl. 1) ◽  
pp. 377-389
Author(s):  
Jordan Hristov
Keyword(s):  
Heat Conduction ◽  
Surface Temperature ◽  
Integral Method ◽  
Infinite Medium ◽  
Surface Heating ◽  
Integration Technique ◽  
Solution Approach ◽  
Linear Heat ◽  
Thermal Penetration Depth ◽  
Non Linear

Non-linear heat conduction with a power-law thermal diffusivity and ramped surface temperature has been solved by the double-integration technique of the integral-balance integral method. The case of a semi-infinite medium and infinite ramp of surface temperature has been considered as example demonstrating the versatility of the solution approach. The thermal penetration depth and solution behaviours with finite speeds have been analyzed.

A SIMPLE MODEL TO DESCRIBE THE NON-LINEAR HEAT CONDUCTION IN MULTI-LAYER BODY WITH PHASE TRANSFORMATION

2020 ◽  
Vol 21 (2) ◽  
pp. 291-300
Author(s):  
Vadim Mizonov ◽  
Andrey Mitrofanov ◽  
Evgeny Barochkin ◽  
Elena Basova
Keyword(s):  
Phase Transformation ◽  
Heat Conduction ◽  
Simple Model ◽  
Linear Heat ◽  
Non Linear
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