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Local thermal non-equilibrium effects arising from the injection of a hot fluid into a porous medium

Citation

Rees, DAS and Bassom, AP and Siddheshwar, PG, Local thermal non-equilibrium effects arising from the injection of a hot fluid into a porous medium, Journal of Fluid Mechanics, 594 pp. 379-398. ISSN 0022-1120 (2008) [Refereed Article]

Copyright Statement

Copyright 2008 Cambridge University Press

DOI: doi:10.1017/S0022112007008890

Abstract

We examine the effect of local thermal non-equilibrium on the infiltration of a hot fluid into a cold porous medium. The temperature fields of the solid porous matrix and the saturating fluid are governed by separate, but coupled, parabolic equations, forming a system governed by three dimensionless parameters. A scale analysis and numerical simulations are performed to determine the different manners in which the temperature fields evolve in time. These are supplemented by a large-time analysis showing that local thermal equilibrium between the phases is eventually attained. It is found that the thickness of the advancing thermal front is a function of the governing parameters rather than being independent of them. This has the implication that local thermal equilibrium is not equivalent to a single equation formulation of the energy equation as might have been expected. When the velocity of the infiltrating fluid is sufficiently large, the equations reduce to a hyperbolic system and a thermal shock wave is formed within the fluid phase. The strength of the shock decays exponentially with time, but the approach to local thermal equilibrium is slower and is achieved algebraically in time.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105752
Year Published:2008
Web of Science® Times Cited:32
Deposited By:Mathematics and Physics
Deposited On:2016-01-14
Last Modified:2016-07-06
Downloads:0

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