Analytical and numerical solutions to a problem of convection in a porous media with lateral mass flux

We consider the problem of convection in a porous medium adjacent to a heated vertical porous plate. This problem has applications in the re-injection of hot water into a geothermal reservoir [1]. For large Rayleigh numbers, thermal boundary layers are formed and boundary layer theory is the obvious...

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Bibliographic Details
Published in:International communications in heat and mass transfer 1998-07, Vol.25 (5), p.641-650
Main Author: Desseaux, André
Format: Article
Language:English
Subjects:
Applied sciences
Boundary layer flow
Convection and heat transfer
Energy
Exact sciences and technology
Flows through porous media
Fluid dynamics
Functions
Fundamental areas of phenomenology (including applications)
Geothermal energy
Linearization
Mathematical models
Natural energy
Nonhomogeneous flows
Numerical methods
Physics
Porous materials
Turbulent flows, convection, and heat transfer
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Summary:We consider the problem of convection in a porous medium adjacent to a heated vertical porous plate. This problem has applications in the re-injection of hot water into a geothermal reservoir [1]. For large Rayleigh numbers, thermal boundary layers are formed and boundary layer theory is the obvious method of investigation. A similarity solution can be obtained when it is stipulated that the wall temperature and the lateral mass flux are power law functions of distance along the plate. In two particular cases, analytical solutions are found. In other cases, the profiles of the normalized velocity and temperature are obtained with accute accuracy using the “quasilinerization” method.
ISSN:0735-1933
1879-0178
DOI:10.1016/S0735-1933(98)00051-7