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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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