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Gradient destruction in flow through a rigid matrix

Published online by Cambridge University Press:  21 April 2006

Massoud Kaviany
Massoud Kaviany
Affiliation:
Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, Michigan 48109
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Abstract

Fluid flow through a solid matrix is examined by introducing a two-dimensional phenomenological model of flow through a unit cell. The effects of inter-cell mixing on reductions in the upstream prescribed gradients are studied. The velocity gradient is modelled by allowing flows of different average velocities to enter the cell. The exit conditions are then determined by solving for the flow field. It is shown that the extent of the reduction depends on the geometry, Reynolds number and the magnitude of the gradient. Also, some results for reductions in the temperature gradient and a regime diagram for gases are presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 165 , April 1986 , pp. 221 - 230
Copyright
© 1986 Cambridge University Press

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References

Barak, A. Z. & Bear, J. 1981 Flow of high Reynolds numbers through anisotropic porous media. Adv. Water Resources 4. 54–66.Google Scholar
Carbonell, R. G. & Whitaker, S. 1983 Dispersion in pulsed systems. II. Theoretical developments for passive dispersion in porous media. Chem. Engng Sci. 38, 1795–1802.Google Scholar
Carbonell, R. G. & Whitaker, S. 1984 Heat and mass transfer in porous media. In Fundamentals of Transport Phenomena in Porous Media (ed. J. Bear & M. Y. Corapcioglu}, pp. 123–198. Martinus Nijhoff.
Chen, R.-Y. 1973 Flow in the entrance region at low Reynolds numbers. Trans. ASME I: J. Fluids Engng 95, 153–138.Google Scholar
Dalman, M. T., Merkin, J. H. & Mcgreavy, C. 1984 Modeling of the fluid flow and heat transfer at the edge of a fixed bed. Numer. Heat Transfer 7, 429–447.Google Scholar
Dullien, F. A. L. 1979 Porous Media, Fluid Transport and Pore Structure. Academic.
Durst, F., Melling, A. & Whitelaw, J. H. 1975 Low Reynolds number flow over a plane symmetric sudden expansion. J. Fluid Mech. 64, 1113–1128.Google Scholar
Dybbs, A. & Edwards, R. V. 1984 A new look at porous media fluid mechanics— Darcy to turbulent. In Fundamentals of Transport Phenomena in Porous Media (ed. J. Bear & M. Y. Corapcioglu), pp. 199-254. Martinus Nijhoff.
Happel, J. & Brenner, H. 1965 Low Reynolds Number Hydrodynamics (with Special Application to Particulate Media). Prentice-Hall.
Hassanizadeh, M. & Gray, W. G. 1983 General conservation equations for multi-phase systems: 1–3. In Flow Through Porous Media, Recent Developments (ed. G. F. Finder), pp. 1-50. Computation Mechanics Publication.
Hinduja, M. J., Sundaresan, S. & Jackson, R. 1980 A crossflow model of dispersion in packed bed reactors. AIChE J. 26, 274–281.Google Scholar
Hong, J. T., Tien, C.-L. & Kaviany, M. 1985 Non-Darcian effects in vertical-plate natural convection in porous media with high porosities. Intl J. Heat Mass Transfer 28, 2149–2157.Google Scholar
Kaviany, M. 1985 Laminar flow through a porous channel bounded by isothermal parallel plates. Intl J. Heat Mass Transfer 28, 851–858.Google Scholar
Patankar, S. V. 1980 Numerical Heat Transfer and Fluid Flow. Hemisphere.
Rockwell, D. & Naudascher, E. 1979 Self-sustained oscillations of impinging free shear layers. Ann. Rev. Fluid Mech. 11, 67–94.Google Scholar
Sinha, S. N., Gupta, A. K. & Oberai, M. M. 1981 Laminar separating flow over backsteps and cavities, part I: backsteps. AIAA J. 19, 1527–1530.Google Scholar
Slattery, J. C. 1972 Momentum, Energy, and Mass Transfer in Continua. McGraw-Hill.
Stark, K. P. 1972 A numerical study of the nonlinear laminar regime of flow in an idealized porous medium. In Fundamentals of Transport Phenomena in Porous Media, pp. 86–102. Elsevier.