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Transitional behaviour of convective patterns in free convection in porous media

Published online by Cambridge University Press:  06 April 2017

Hamid Karani Open the ORCID record for Hamid Karani [Opens in a new window]  and
Christian Huber
Hamid Karani*
Affiliation:
School of Earth and Atmospheric Sciences, Georgia Institute of Technology, Atlanta, GA 30332-03403, USA
Christian Huber
Affiliation:
Department of Earth, Environmental and Planetary Sciences, Brown University, Providence, RI 02912, USA
*
†Email address for correspondence: [email protected]
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Abstract

The present study focuses on the transition between steady convective patterns in fluid-saturated porous media. We conduct experiments to identify the transition point from the single- to double-cell pattern in a two-dimensional porous medium. We then perform a basin stability analysis to assess the relative stability of different convective modes. The resulting basin stability diagram not only provides the domains of coexistence of different modes, but it also shows that the likelihood of finding convective patterns depends strongly on the Rayleigh number. The experimentally observed transition point from single- to double-cell mode agrees well with the stochastically preferred mode inferred from the basin stability diagram.

JFM classification

Nonlinear Dynamical Systems: Bifurcation Convection: Convection in porous media
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 818 , 10 May 2017 , R3
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Copyright
© 2017 Cambridge University Press 

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