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TECHNICAL PAPERS: Porous Media, Particles, and Droplets

Analysis of Variants Within the Porous Media Transport Models

[+] Author and Article Information
B. Alazmi, K. Vafai

Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210

J. Heat Transfer 122(2), 303-326 (Dec 16, 1999) (24 pages) doi:10.1115/1.521468 History: Received September 30, 1999; Revised December 16, 1999
Copyright © 2000 by ASME
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References

Figures

Grahic Jump Location
Effect of porosity variations on velocity and temperature distributions for the constant porosity category [Λ=10, Da=10−4 and ReH=100]; (a) ε=0.3, (b) ε=0.99
Grahic Jump Location
Effect of porosity variations on Nusselt number distributions for the constant porosity category [Λ=10, Da=10−4, and ReH=100]; (a) ε=0.3, (b) ε=0.99
Grahic Jump Location
Effect of the inertia parameter on velocity and temperature distributions for the constant porosity category [ε=0.6, Da=10−4, and ReH=100]; (a) Λ=0, (b) Λ=100
Grahic Jump Location
Effect of the inertia parameter on Nusselt number distributions for the constant porosity category [ε=0.6, Da=10−4, and ReH=100]; (a) Λ=0, (b) Λ=100
Grahic Jump Location
Effect of Darcy number variations on velocity and temperature distributions for the constant porosity category [ε=0.6, Λ=10, and ReH=100]; (a) Da=10−6, (b) Da=10−3
Grahic Jump Location
Effect of Darcy number variations on Nusselt number distributions for the constant porosity category [ε=0.6, Λ=10, and ReH=100]; (a) Da=10−6, (b) Da=10−3
Grahic Jump Location
Effect of Reynolds Number variations on velocity and temperature distributions for the constant porosity category [ε=0.6, Λ=10, and Da=10−4]; (a) ReH=10, (b) ReH=1000
Grahic Jump Location
Effect of Reynolds Number variations on Nusselt number distributions for the constant porosity category [ε=0.6, Λ=10, and Da=10−4]; (a) ReH=10, (b) ReH=1000
Grahic Jump Location
Effect of pressure gradient on velocity, temperature and Nusselt number distributions for the variable porosity category [dp=0.008,b=0.98,c=2.0,ε=0.5]; (a) dp/dx=746, (b) dp/dx=2985
Grahic Jump Location
Effect of particle diameter on velocity, temperature, and Nusselt number distributions for the variable porosity category [dp/dx=1493,b=0.98,c=2.0,ε=0.5]; (a) dp=0.004, (b) dp=0.016
Grahic Jump Location
Effect of freestream porosity on velocity, temperature, and Nusselt number distributions for the variable porosity category [dp/dx=1493,dp=0.008,b=0.98,c=2.0]; (a) ε=0.4, (b) ε=0.45
Grahic Jump Location
Effect of constant c on velocity, temperature, and Nusselt number distributions for the variable porosity category [dp/dx=1493,dp=0.008,b=0.98,ε=0.5]; (a) c=1.0, (b) c=5.0
Grahic Jump Location
Effect of constant b on velocity, temperature, and Nusselt number distributions for the variable porosity category [dp/dx=1493,dp=0.008,c=2.0,ε=0.5]; (a) b=0.2, (b) b=0.6
Grahic Jump Location
Effect of particle diameter variations on temperature and Nusselt number distributions for the thermal dispersion category ε=0.6, Λ=10, Da=10−6, and Rep=100; (a) dp=0.004, (b) dp=0.016
Grahic Jump Location
Effect of porosity variations on temperature and Nusselt number distributions for the LTNE category [Λ=10, Da=10−4,ReP=100,dP=0.008,ks/kf=25]; (a) ε=0.3, (b) ε=0.6
Grahic Jump Location
Effect of inertia parameter variations on temperature and Nusselt number distributions for the LTNE category [ε=0.6, Da=10−4,ReP=100,dP=0.008,ks/kf=25]; (a) Λ=0, (b) Λ=100
Grahic Jump Location
Velocity, temperature, and Nusselt number distributions for the variable porosity category (a) dp/dx=746,dp=0.008,b=0.2,c=5.0,ε=0.4; (b) dp/dx=2985,dp=0.016,b=0.98,c=1.0,ε=0.5
Grahic Jump Location
Effect of porosity variations on temperature and Nusselt number distributions for the thermal dispersion category [ε=1/3.5, Λ=10, Da=10−4,Rep=100, and dp=0.008]
Grahic Jump Location
Effect of porosity variations on temperature and Nusselt number distributions for the thermal dispersion category [ε=0.27, Λ=10, Da=10−4,Rep=100, and dp=0.008]
Grahic Jump Location
Effect of porosity variations on temperature and Nusselt number distributions for the thermal dispersion category [ε=0.25, Λ=10, Da=10−4,Rep=100, and dp=0.008]
Grahic Jump Location
Effect of porosity variations on temperature and Nusselt number distributions for the thermal dispersion category [Λ=10, Da=10−4,Rep=100, and dp=0.008]; (a) ε=0.6, (b) ε=0.9
Grahic Jump Location
Effect of inertia parameter variations on temperature and Nusselt number distributions for the thermal dispersion category [ε=0.6, Da=10−4,Rep=100, and dp=0.008]; (a) Λ=0, (b) Λ=100
Grahic Jump Location
Effect of Darcy number variations on temperature and Nusselt number distributions for the thermal dispersion category [ε=0.6, Λ=10, Rep=100, and dp=0.008]; (a) Da=10−7, (b) Da=10−3
Grahic Jump Location
Effect of Reynolds number variations on temperature and Nusselt number distributions for the thermal dispersion category [ε=0.6, Λ=10, Da=10−6, and dp=0.008]; (a) Rep=10, (b) Rep=1000
Grahic Jump Location
Schematic diagram of the problem and the corresponding coordinate systems
Grahic Jump Location
Comparisons between the numerical results of the present study and the analytical solutions of Vafai and Kim 3 and Vafai 30. The constant porosity category [ε=0.9, Λ=100, Da=0.001 and Re=100]. The variable porosity category [dp/dx=−1493,dp=0.008,b=0.98,c=2.0, and ε=0.5].
Grahic Jump Location
Effect of Darcy number variations on temperature and Nusselt number distributions for the LTNE category [ε=0.6, Λ=10, ReP=100,dP=0.008,ks/kf=25]; (a) Da=10−8 (b) Da=10−3
Grahic Jump Location
Effect of Reynolds number variations on temperature and Nusselt number distributions for the LTNE category [ε=0.6, Λ=10, Da=10−4,dP=0.008,ks/kf=25]; (a) ReP=10, (b) ReP=1000
Grahic Jump Location
Effect of particle diameter variations on temperature and Nusselt number distributions for the LTNE category [ε=0.6, Λ=10, Da=10−4,ReP=100,ks/kf=25]; (a) dP=0.004, (b) dP=0.016
Grahic Jump Location
Effect of solid-to-fluid thermal conductivity ratio variations on temperature and Nusselt number distributions for the LTNE category [ε=0.6, Λ=10, Da=10−4,ReP=100,dP=0.008]; (a) ks/kf=5, (b) ks/kf=50
Grahic Jump Location
Temperature and Nusselt number distributions for the LTNE category; (a) ε=0.9, Λ=0, Da=10−3,ReP=1000,dP=0.004,ks/kf=5, (b) ε=0.3, Λ=100, Da=10−8,ReP=100,dP=0.016,ks/kf=50

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