This chapter contains a review of the thermoconvective instabilities that may occur in a fluid saturated porous medium. Reference is made to a horizontal porous layer. The macroscopic description of the fluid flow in a porous medium is outlined. Then, the mass, momentum and energy balance equations for porous media are described and discussed. As a first basic example of convective instabilities, the classical Darcy-Bénard problem is studied in order to highlight the main characteristics of the linear stability analysis. Extensions of the Darcy-Bénard problem based on the Forchheimer model and on the Brinkman model of momentum flow are analysed. Moreover, the effects of either a horizontal or a vertical throughflow in the layer are discussed. The contribution of the effect of viscous dissipation is investigated as a possible cause of convective instabilities.

Thermal instabilities in a fluid saturated porous medium

BARLETTA, ANTONIO
2011

Abstract

This chapter contains a review of the thermoconvective instabilities that may occur in a fluid saturated porous medium. Reference is made to a horizontal porous layer. The macroscopic description of the fluid flow in a porous medium is outlined. Then, the mass, momentum and energy balance equations for porous media are described and discussed. As a first basic example of convective instabilities, the classical Darcy-Bénard problem is studied in order to highlight the main characteristics of the linear stability analysis. Extensions of the Darcy-Bénard problem based on the Forchheimer model and on the Brinkman model of momentum flow are analysed. Moreover, the effects of either a horizontal or a vertical throughflow in the layer are discussed. The contribution of the effect of viscous dissipation is investigated as a possible cause of convective instabilities.
2011
Advanced Structured Materials, Volume 2 - Heat Transfer in Multi-Phase Materials
381
414
A. Barletta
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/105553
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