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Heat Transfer in Multi-Phase Materials pp 381–414Cite as

Thermal Instabilities in a Fluid Saturated Porous Medium

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 2))

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.

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Authors and Affiliations

  1. Dipartimento di Ingegneria Energetica, Nucleare e del Controllo Ambientale (DIENCA), Alma Mater Studiorum, Università di Bologna, Viale Risorgimento 2, 40136, Bologna, Italy

    A. Barletta

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  1. A. Barletta
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Correspondence to A. Barletta .

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Editors and Affiliations

  1. Faculty of Mechanical Engineering, Department of Applied Mechanics, Technical University of Malaysia, Johor, Malaysia

    Andreas Öchsner

  2. Dept. Mechanical Engineering, University of Newcastle, Callaghan, 2308, New South Wales, Australia

    Graeme E. Murch

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Barletta, A. (2010). Thermal Instabilities in a Fluid Saturated Porous Medium. In: Öchsner, A., Murch, G. (eds) Heat Transfer in Multi-Phase Materials. Advanced Structured Materials, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/8611_2010_8

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