PMID: 12786249Jun 6, 2003Paper

Mean flow and spiral defect chaos in Rayleigh-Bénard convection

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
K-H ChiamH S Greenside

Abstract

We describe a numerical procedure to construct a modified velocity field that does not have any mean flow. Using this procedure, we present two results. First, we show that, in the absence of the mean flow, spiral defect chaos collapses to a stationary pattern comprising textures of stripes with angular bends. The quenched patterns are characterized by mean wave numbers that approach those uniquely selected by focus-type singularities, which, in the absence of the mean flow, lie at the zigzag instability boundary. The quenched patterns also have larger correlation lengths and are comprised of rolls with less curvature. Secondly, we describe how the mean flow can contribute to the commonly observed phenomenon of rolls terminating perpendicularly into lateral walls. We show that, in the absence of the mean flow, rolls begin to terminate into lateral walls at an oblique angle. This obliqueness increases with the Rayleigh number.

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Citations

Sep 28, 2004·Chaos·Th WalterE Bodenschatz
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K-H ChiamP F Fischer
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A JayaramanP F Fischer
Nov 9, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J A WeliwitaS M Tobias
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A KarimiM R Paul
Feb 20, 2019·Physical Review. E·S Mukherjee, M R Paul
Jul 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H Affan, R Friedrich
Feb 3, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J D ScheelP F Fischer
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lifang DongWeili Fan
Feb 2, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Karimi, M R Paul
Jun 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A Karimi, M R Paul
Aug 25, 2004·Physical Review Letters·Peilong Chen
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Santiago Madruga, Hermann Riecke
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K-H ChiamHenry S Greenside

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