The Stability Of Convective Flows In Porous Media

  • D. A. Nield
Chapter
Part of the NATO ASI Series book series (NSSE, volume 196)

Abstract

A presentation is made of the basic results on the stability of the convective flow of fluid in a saturated porous medium. The case of convection produced by vertical density gradients in a horizontal layer is treated in detail. Linear stability analysis is presented. The effects of net mass flow, nonlinear basic temperature profiles, anisotropy and inhomogeneity, and double-diffusive and non-Boussinesq effects are incorporated. The energy and perturbation results of nonlinear theory are discussed, together with numerical studies of higher-order transitions. The effects of dispersion and non-Darcy effects are also discussed. Experimental results are surveyed. A briefer survey is made of other stability aspects, including convection produced by vertical density gradients in confined regions (notably rectangular boxes and vertical cylinders), convection produced by horizontal and inclined density gradients (including convection in a sloping layer), and the stability of boundary layers.

Keywords

Porous Medium Natural Convection Rayleigh Number Porous Layer Thermal Convection 
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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • D. A. Nield
    • 1
  1. 1.Department of Engineering ScienceUniversity of AucklandAucklandNew Zealand

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