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Shock–like structure of phase-change flow in porous media

Published online by Cambridge University Press:  20 April 2006

L. A. Romero  and
R. H. Nilson
L. A. Romero
Affiliation:
Applied Mathematics Division
R. H. Nilson
Affiliation:
Fluid Mechanics and Heat Transfer Division II Sandia Laboratories, Albuquerque, New Mexico 87185
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Abstract

Shock-like features of phase-change flows in porous media are explained, based on the generalized Darcy model. The flow field consists of two-phase zones of parabolic/hyperbolic type as well as adjacent or imbedded single-phase zones of either parabolic (superheated, compressible vapour) or elliptic (subcooled, incompressible liquid) type. Within the two-phase zones or at the two-phase/single-phase interfaces, there may be steep gradients in saturation and temperature approaching shock-like behaviour when the dissipative effects of capillarity and heat-conduction are negligible. Illustrative of these shocked, multizone flow-structures are the transient condensing flows in porous media, for which a self-similar, shock-preserving (Rankine–Hugoniot) analysis is presented.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 104 , March 1981 , pp. 467 - 482
Copyright
© 1981 Cambridge University Press

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References

Bear, J. 1970 Two-liquid flows in porous media. Advances in Hydroscience 6, 141–251.Google Scholar
Brownell, D. H., Garg, S. K. & Pritchett, J. W. 1977 Governing equations for geothermal reservoir. Water Resources Res. 13, 929–934.Google Scholar
Cheng, P. 1978 Heat transfer in geothermal systems. Adv. Heat Transfer 14, 1–106.Google Scholar
Fayers, F. J. 1962 Some theoretical results concerning the displacement of a viscous oil by a hot fluid in a porous medium. J. Fluid Mech. 13, 65–76.Google Scholar
Laude, J. M. & Morrison, F. A. 1979 Stability of flow from a nuclear cavity. J. Fluid Engng 101, 335–340.Google Scholar
Miller, C. A. 1975 Stability of moving surfaces in fluid systems with heat and mass transfer, III, Stability of displacement fronts in porous media. A.I.Ch.E. J. 21, 474–479.Google Scholar
Morrison, F. A. 1973 Transient multiphase multicomponent flow in porous media. Int. J. Heat Mass Transfer 16, 2331–2342.Google Scholar
Nikolaevskii, V. N. & Somov, B. E. 1978 Heterogeneous flows of multi-component mixtures in porous media. Int. J. Multiphase Flow 4, 203–217.Google Scholar
Nilson, R. H. & Romero, L. A. 1980 Self-similar condensing flow in porous media. Int. J. Heat Mass Transfer 23, 1461–1470.Google Scholar
Scheidegger, A. H. 1974 The Physics of Flow Through Porous Media. University of Toronto Press.
Settari, A. & Aziz, K. 1975 Treatment of nonlinear terms in the numerical solution of partial differential equations for multiphase flow in porous media. Int. J. Multiphase Flow 1, 817–844.Google Scholar
Slattery, J. C. 1972 Momentum, Energy, and Mass Transfer in Continua. McGraw-Hill.
Weinstein, H. G., Wheeler, J. A. & Woods, E. G. 1977 Numerical model for thermal processes. Soc. Petroleum Eng. J. February, 65–77.Google Scholar
Whitaker, S. 1977 Simultaneous heat, mass, and momentum transfer in porous media: A theory of drying. Adv. Heat Transfer 13, 119–203.Google Scholar
Wooding, R. A. & Morel-Seytoux, H. J. 1976 Multiphase fluid flow through porous media. Ann. Rev. Fluid Mech. 8, 233–274.Google Scholar