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TECHNICAL PAPERS: Porous Media, Particles, and Droplets

Effective Permeability of a Layered Porous Cavity

[+] Author and Article Information
J. C. Leong, F. C. Lai

School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman, OK 73019

J. Heat Transfer 123(3), 512-519 (Oct 06, 2000) (8 pages) doi:10.1115/1.1351164 History: Received April 07, 1999; Revised October 06, 2000
Copyright © 2001 by ASME
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References

Lai, F. C., and Kulacki, F. A., 1987, “Natural Convection in Layered Porous Media Partially Heated from Below,” Heat Transfer in Geophysical and Geothermal System, K. Vafai et al., eds., ASME, New York, HTD-Vol. 76 , pp. 27–36.
Lai,  F. C., and Kulacki,  F. A., 1988, “Natural Convection across a Vertical Layered Porous Cavity,” Int. J. Heat Mass Transf., 31, pp. 1247–1260.
Rana,  R., Horne,  R. N., and Cheng,  P., 1979, “Natural Convection in a Multi-Layered Geothermal Reservoir,” ASME J. Heat Transfer , 101, pp. 411–416.
McKibbin,  R., and O’Sullivan,  M. J., 1981, “Heat Transfer in a Layered Porous Medium Heated from Below,” J. Fluid Mech., 111, pp. 141–173.
Bankvall,  C. G., 1974, “Natural Convection in Vertical Permeable Space,” Warme-und Stoffubertragune, 7, pp. 22–30.
Chan,  B. K. C., Ivey,  C. M., and Barry,  J. M., 1970, “Natural Convection in Enclosed Porous Media with Rectangular Boundaries,” ASME J. Heat Transfer, 92, pp. 21–27.
Horne, R., 1975, “Transient Effects in Geothermal Convective Systems,” Ph.D. thesis, University of Auckland, New Zealand.
Prasad,  V., and Kulacki,  F. A., 1984, “Convective Heat Transfer in a Rectangular Porous Cavity—Effect of Aspect Ratio on Flow Structure and Heat Transfer,” ASME J. Heat Transfer , 106, pp. 158–165.
Trevisan,  O. V., and Bejan,  A., 1985, “Natural Convection with Combined Heat and Mass Transfer Buoyancy Effects in a Porous Medium,” Int. J. Heat Mass Transf., 28, pp. 1597–1611.
Walker,  K. L., and Homsy,  G. M., 1978, “Convection in a Porous Cavity,” J. Fluid Mech., 97, pp. 449–474.
Prasad,  V., and Kulacki,  F. A., 1984, “Natural Convection in a Rectangular Porous Cavity with Constant Heat Flux on One Vertical Wall,” ASME J. Heat Transfer , 106, pp. 152–157.
Leong, J. K., 1999, “Natural Convection in Layered Porous Cavities,” M.S. thesis, University of Oklahoma, Norman, OK.

Figures

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A layered porous cavity subject to differential heating from vertical walls: (a) vertical sublayers; (b) horizontal sublayers.
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Validation of numerical code (K1/K2=1); the result from the present study is represented by the solid line.
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Flow fields in a porous cavity with vertical sublayers (L1/L=0.5,ΔΨ=1 for K1/K2<1 and ΔΨ=0.1 for K1/K2>1)
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Temperature fields in a porous cavity with two vertical sublayers (L1/L=0.5,Δθ=0.1)
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Flow fields in a porous cavity with two vertical sublayers (Ra1=100,ΔΨ=0.1 for K1/K2<1 and ΔΨ=0.1 for K1/K2>1)
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Temperature fields in a porous cavity with two vertical sublayers (Ra1=100,Δθ=0.1)
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Flow fields in a porous cavity with two horizontal sublayers (H1/H=0.5,ΔΨ=2 for K1/K2<1 and ΔΨ=0.25 for K1/K2>1)
Grahic Jump Location
Temperature fields in a porous cavity with horizontal sublayers (H1/H=0.5,Δθ=0.1)
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Flow fields in a porous cavity with horizontal sublayers (Ra1=100,ΔΨ=5 for K1/K2<1 and ΔΨ=0.5 for K1/K2>1)
Grahic Jump Location
Temperature fields in a porous cavity with horizontal sublayers (Ra1=100,Δθ=0.1)
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Electric circuit analogy for natural convection in a layered porous cavity: (a) vertical sublayers; (b) horizontal sublayers; (c) an equivalent homogeneous layer.
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Heat transfer results for a porous cavity with vertical sublayers: (a) arithmetic mean; (b) harmonic mean.
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Heat transfer results for a porous cavity with horizontal sublayers: (a) arithmetic mean; (b) harmonic mean.

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