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Cell-pattern sensitivity to box configuration in a saturated porous medium

Published online by Cambridge University Press:  20 April 2006

B. Borkowska-Pawlak  and
W. Kordylewski
B. Borkowska-Pawlak
Affiliation:
Instytut Techniki Cieplnej i Mechaniki Plynow, 50-370 Wroclaw, Poland
W. Kordylewski
Affiliation:
Instytut Techniki Cieplnej i Mechaniki Plynow, 50-370 Wroclaw, Poland
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Abstract

Steady small-amplitude thermal convection in a fluid-saturated. infinitely extended porous layer is investigated theoretically in the wavenumber range 1/√2−1. It was shown that the point of multiple bifurcation Ra0 = (3/√2 + 2)π2, α0 = 2−0.25 leads to secondary bifurcation when the wavenumber decreases.

As a result a new branch of a stable, complicated, three-dimensional flow in the square cell was discovered for α close to α0. This branch joins two adjacent branches of three-dimensional flows emanating from the trivial solution and causes their stability transition at the branching points.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 150 , January 1985 , pp. 169 - 181
Copyright
© 1985 Cambridge University Press

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