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多孔介质期刊
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ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

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多孔介质期刊

DOI: 10.1615/JPorMedia.v8.i2.50
pages 165-174

Transient Forced Convection in an Isothermal Fluid-Saturated Porous-Medium Layer: Effective Permeability and Boundary Layer Thickness

Antonio Ferreira Miguel
Department of Physics, School of Sciences and Technology, University of Evora, Institute of Earth Sciences (ICT) Pole of Evora, Portugal
A. Heitor Reis
Department of Physics, University of Évora, Rua Romão Ramalho, 59, 7000-671 Évora, Portugal; and Évora Geophysics Centre, Apartado 94, 7002-554 Évora, Portugal

ABSTRACT

Transient forced convection in an isothermal saturated porous-medium layer is analyzed analytically on the basis of the Forchheimer-Brinkman-extended Darcy equation. An analytical solution describing the transient regime is obtained by considering the ensemble average velocity of the fluid flow as much larger than the fluctuations in the fluid velocity. This solution provides a better knowledge of the features of the flow within the porous layer. Among other results is presented an expression for the effective porous-medium permeability, as a function of the Darcy number, of the Reynolds number, and of a "relaxation time" characteristic of the transient regime. The solution found also indicates that an appropriate periodic forcing of the pressure gradient may increase the effective permeability of the porous layer to fluid flow.


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