Application of simple, periodic homogenization techniques to non-linear heat conduction problems in non-periodic, porous media

2011 ◽  
Vol 48 (2) ◽  
pp. 291-300 ◽  
Author(s):  
M. Pieper ◽  
P. Klein
Keyword(s):  
Porous Media ◽  
Heat Conduction ◽  
Periodic Homogenization ◽  
Linear Heat ◽  
Non Linear

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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