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Three-dimensional spatially localized binary-fluid convection in a porous medium

Published online by Cambridge University Press:  07 August 2013

David Lo Jacono ,
Alain Bergeon  and
Edgar Knobloch
David Lo Jacono*
Affiliation:
Institut de Mécanique des Fluides de Toulouse (IMFT), CNRS, UPS, Université de Toulouse, Allée Camille Soula, F-31400 Toulouse, France
Alain Bergeon
Affiliation:
Institut de Mécanique des Fluides de Toulouse (IMFT), CNRS, UPS, Université de Toulouse, Allée Camille Soula, F-31400 Toulouse, France
Edgar Knobloch
Affiliation:
Department of Physics, University of California, Berkeley, CA 94720, USA
*
†Email address for correspondence: [email protected]
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Abstract

Three-dimensional convection in a binary mixture in a porous medium heated from below is studied. For negative separation ratios steady spatially localized convection patterns are expected. Such patterns, spatially localized in two dimensions, are computed and numerical continuation is used to examine their growth and proliferation as parameters are varied. The patterns studied have the form of a core region with four extended side-branches and can be stable. A physical mechanism behind the formation of these unusual structures is suggested.

JFM classification

Convection: Convection Convection: Convection in porous media Nonlinear Dynamical Systems: Nonlinear Dynamical Systems
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 730 , 10 September 2013 , R2
Copyright
©2013 Cambridge University Press 

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