Journal of Fluid Mechanics

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Convectons, anticonvectons and multiconvectons in binary fluid convection

ISABEL MERCADERa1, ORIOL BATISTEa1 c1, ARANTXA ALONSOa1 and EDGAR KNOBLOCHa2

a1 Departament de Física Aplicada, Universitat Politècnica de Catalunya, Barcelona 08034, Spain

a2 Department of Physics, University of California, Berkeley, CA 94720, USA

Abstract

Binary fluid mixtures with a negative separation ratio heated from below exhibit steady spatially localized states called convectons for supercritical Rayleigh numbers. Numerical continuation is used to compute such states in the presence of both Neumann boundary conditions and no-slip no-flux boundary conditions in the horizontal. In addition to the previously identified convectons, new states referred to as anticonvectons with a void in the centre of the domain, and wall-attached convectons attached to one or other wall are identified. Bound states of convectons and anticonvectons called multiconvecton states are also computed. All these states are located in the so-called snaking or pinning region in the Rayleigh number and may be stable. The results are compared with existing results with periodic boundary conditions.

(Received April 09 2010)

(Revised September 01 2010)

(Accepted September 01 2010)

(Online publication December 13 2010)

Key words:

  • bifurcation;
  • buoyancy-driven instability;
  • double diffusive convection

Correspondence:

c1 Email address for correspondence: oriol@fa.upc.edu

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