Bénard-Marangoni instability in a viscoelastic ferrofluid

In this paper we report theoretical and numerical results on convection of a magnetic fluid in a viscoelastic carrier liquid. The viscoelastic properties are given by the Oldroyd model. We impose the lower interface to be rigid, whereas the upper one is free and is assumed to be non-deformable and f...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2013-03, Vol.219 (1), p.71-80
Main Authors: Laroze, David, Martinez-Mardones, Javier, Pleiner, Harald
Format: Article
Language:English
Subjects:
Atomic
Classical and Continuum Physics
Condensed Matter Physics
Cross-disciplinary physics: materials science
rheology
Exact sciences and technology
Heterogeneous liquids: suspensions, dispersions, emulsions, pastes, slurries, foams, block copolymers, etc
Material form
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Regular Article
Rheology
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Summary:In this paper we report theoretical and numerical results on convection of a magnetic fluid in a viscoelastic carrier liquid. The viscoelastic properties are given by the Oldroyd model. We impose the lower interface to be rigid, whereas the upper one is free and is assumed to be non-deformable and flat. Also, at the upper interface the surface tension is taken to vary linearly with the temperature. Using a spectral method we calculate numerically the convective thresholds for both stationary and oscillatory bifurcations. The effect of the viscoelasticity and the Kelvin force on the instability thresholds are emphasized.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2013-01782-6