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TECHNICAL PAPERS: Porous Media

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

[+] Author and Article Information
Peter Vadasz

Department of Mechanical Engineering, Northern Arizona University, P.O. Box 15600, Flagstaff, AZ 86011-5600

J. Heat Transfer 127(3), 307-314 (Mar 24, 2005) (8 pages) doi:10.1115/1.1860567 History: Received May 24, 2004; Revised December 02, 2004; Online March 24, 2005
Copyright © 2005 by ASME
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References

Figures

Grahic Jump Location
Fluid saturated porous slab subject to constant temperature conditions at the walls
Grahic Jump Location
Temperature solution of dual-phase-lagging thermal conduction in a porous slab as a function of x=x*/L for different values of time and corresponding to Fo=1, Nδ=1.1,θo=0, and θ̇o=0
Grahic Jump Location
Temperature solution of dual-phase-lagging thermal conduction in a porous slab as a function of x=x*/L for different values of time and corresponding to Fo=1, Nδ=1.1,θo=0, and θ̇o=10
Grahic Jump Location
Temperature solution of dual-phase-lagging thermal conduction in porous media as a function of time for different values of x=x*/L and corresponding to Fo=1, Nδ=1.1,θo=0, and θ̇o=10: (a) the solution for x=0, 0.1, 0.2, 0.3, 0.4, 0.5; (b) the solution for x=0.6, 0.7, 0.8, 0.9, 1
Grahic Jump Location
Temperature solution of dual-phase-lagging thermal conduction in a porous slab as a function of x=x*/L for different values of time and corresponding to small values of Fo=10−3 and Nδ=1.1×10−3 and to θo=0 and θ̇o=10. The parameter values correspond to small dual-phase-lagging effect leading approximately to a local thermal equilibrium (Lotheq) conduction solution (Fourier diffusion).
Grahic Jump Location
Graphical representation of the conditions for underdamped, critically damped, and overdamped solutions in terms of the function y(n2)=n4+bn2+c, for c>0

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