Steady and time-dependent Rayleigh-Bénard convection under influence of shear flows

Kirchartz, K. R.; Srulijes, J.; Oertel, Herbert

doi:10.1016/0273-1177(83)90223-5

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“…In the opposite case, where the wall was still subcritical or even slightly supercritical, parallel rolls to the wall appear, induced by the non-trivial base state. The existence of this subcritical structure had already been experimentally identified by Srulijes (1979) and Kirchartz (1983) and also decteted in numerical simulations conducted by De Wit (1993) in the framework of a model for chemical systems.…”

Section: Introductionsupporting

confidence: 61%

Pattern formation in spatially ramped Rayleigh-B'enard systems

Pontes¹

2008

JCIS

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We study pattern formation and selection in Rayleigh-Bénard systems confined between well conducting horizontal boundaries and subjected to a weak horizontal gradient of the Rayleigh number. The study is based on the numerical integration of the Swift-Hohenberg equation and addresses the questions of the preferred orientation of the patterns with respect to the gradient of the Rayleigh number, boundary effects observed at subcritial sidewalls, the characteristics of long-term evolution of the patterns with emphasis on the wavelength selection, and the effect of non-potential modifications of the Swift-Hohenberg equation.It is shown that, contrary to common belief, the rolls do not align with the direction of the horizontal temperature gradient (Dewel, 1989;Malomed, 1993), due to the influence of the walls. Rather, rolls approach a sidewall perpendicularly when the local bifurcation parameter is sufficiently beyond the threshold but tend to be parallel to a subcritical or critical sidewall. Simulations performed with non-potential modifications of the Swift-Hohenberg equation lead in most cases, to asymptotic time-dependent behaviours.

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Section: Introductionsupporting

confidence: 61%

Pattern formation in spatially ramped Rayleigh-B'enard systems

Pontes¹

2008

JCIS

View full text Add to dashboard Cite

show abstract

Steady and time-dependent Rayleigh-Bénard convection under influence of shear flows

Cited by 1 publication

References 1 publication

Pattern formation in spatially ramped Rayleigh-B'enard systems

Pattern formation in spatially ramped Rayleigh-B'enard systems

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