Numerical analysis of time-fractional non-Fourier heat conduction in porous media based on Caputo fractional derivative under short heating pulses

2020 ◽  
Vol 56 (11) ◽  
pp. 3035-3045
Author(s):  
Milad Mozafarifard ◽  
Davood Toghraie
Keyword(s):  
Porous Media ◽  
Heat Conduction ◽  
Numerical Analysis ◽  
Fractional Derivative ◽  
Caputo Fractional Derivative ◽  
Fourier Heat Conduction ◽  
Short Heating

Absence of Oscillations and Resonance in Porous Media Dual-Phase-Lagging Fourier Heat Conduction

2005 ◽  
Vol 127 (3) ◽  
pp. 307-314 ◽  
Author(s):  
Peter Vadasz
Keyword(s):  
Porous Media ◽  
Heat Conduction ◽  
Thermal Equilibrium ◽  
Local Thermal Equilibrium ◽  
Dual Phase ◽  
Thermal Waves ◽  
Conduction Model ◽  
Physical Conditions ◽  
Fourier Heat Conduction ◽  
Thermal Oscillations

The approximate equivalence between the dual-phase-lagging heat conduction model and the Fourier heat conduction in porous media subject to lack of local thermal equilibrium suggested the possibility of thermal oscillations and resonance. The present investigation demonstrates that the physical conditions necessary for such thermal waves and, possibly resonance, to materialize are not attainable in a porous slab subject to constant temperature conditions applied on the boundaries.

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