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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 50, 2006 - Issue 5
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Original Articles

Stability of Natural Convection in Superposed Fluid and Porous Layers Using Integral Transforms

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Pages 409-424 | Received 25 Dec 2005, Accepted 15 Feb 2006, Published online: 24 Feb 2007
 

Abstract

A stability analysis of thermal natural convection in superposed fluid and porous layers is carried out. The two-layer system is described using a one-domain formulation, and the eigenvalue problem resulting from the stability analysis is solved using the generalized integral transform technique (GITT). The numerical results confirm that the onset of convection can have a bimodal nature depending on the depth ratio. The influence of the dimensionless permeability and thermal diffusivity ratio are investigated.

Acknowledgments

This work has been done within the framework of the International Program of Scientific Cooperation (PICS) CNRS-CNPq “Ecoulements et Transferts en Milieux Poreux.” S. C. Hirata gratefully acknowledges the CAPES fellowship (Brazil).

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