Reference : Influence of a nonlinear reference temperature profile on oscillatory Benard-Marangoni c...

	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Physics
	To cite this reference:	http://hdl.handle.net/2268/29681

Title :	Influence of a nonlinear reference temperature profile on oscillatory Benard-Marangoni convection.
Language :	English
Author, co-author :	Dondlinger, M. [> > > >]
	Colinet, P. [> > > >]
	Dauby, Pierre [Université de Liège - ULg > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles >]
Publication date :	2003
Journal title :	Physical Review. E : Statistical, Nonlinear, and Soft Matter Physics
Publisher :	American Physical Society
Volume :	68
Issue/season :	6 Pt 2
Pages :	066310
Peer reviewed :	Yes (verified by ORBi)
Audience :	International
ISSN :	1539-3755
City :	College Park
Country :	MD
Abstract :	[en] We analyze oscillatory instabilities in a fluid layer of infinite horizontal extent, heated from above or cooled from below, taking into account the nonlinearity of the reference temperature profile during the transient state of heat conduction. The linear stability analysis shows that a nonlinear reference temperature profile can have a strong effect on the system, either stabilizing or destabilizing, depending on the relative importance of buoyancy and surface tension forces. For the nonlinear analysis we use a Galerkin-Eckhaus method leading to a finite set of amplitude equations. In the two-dimensional (2D) case, we show the solution of these amplitude equations are standing waves.
Permalink :	http://hdl.handle.net/2268/29681

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