Influence of geometrical parameters on the linear stability of a Bénard-Marangoni problem

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Show simple item record Hoyas, S. Fajardo Peña, Pablo Perez Quiles, M. J. 2019-10-28T13:24:44Z 2019-10-28T13:24:44Z 2016-04-05
dc.identifier.bibliographicCitation Physical review E, 93, 043105, April 2016
dc.identifier.issn 2470-0045
dc.identifier.issn 2470-0053 (online)
dc.description.abstract A linear stability analysis of a thin liquid film flowing over a plate is performed. The analysis is performed in an annular domain when momentum diffusivity and thermal diffusivity are comparable (relatively low Prandtl number, Pr = 1.2). The influence of the aspect ratio (Gamma) and gravity, through the Bond number (Bo), in the linear stability of the flow are analyzed together. Two different regions in the Gamma-Bo plane have been identified. In the first one the basic state presents a linear regime (in which the temperature gradient does not change sign with r). In the second one, the flow presents a nonlinear regime, also called return flow. A great diversity of bifurcations have been found just by changing the domain depth d. The results obtained in this work are in agreement with some reported experiments, and give a deeper insight into the effect of physical parameters on bifurcations.
dc.description.sponsorship The computations shown in this work were made possible by a generous grant of computer time from the supercomputation center of the Universitat Politècnica de València.
dc.format.extent 7
dc.language.iso eng
dc.publisher American Physical Society (APS)
dc.rights © 2016 American Physical Society
dc.subject.other Buoyant-thermocapillary instabilities
dc.subject.other Horizontal temperature-gradient
dc.subject.other Liquid layers
dc.subject.other Hydrothermal waves
dc.subject.other Heat-transfer
dc.subject.other Annular pool
dc.subject.other Convection
dc.subject.other Flow
dc.title Influence of geometrical parameters on the linear stability of a Bénard-Marangoni problem
dc.type article
dc.rights.accessRights openAccess
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 1
dc.identifier.publicationissue 4 (043105)
dc.identifier.publicationlastpage 7
dc.identifier.publicationtitle PHYSICAL REVIEW E
dc.identifier.publicationvolume 93
dc.identifier.uxxi AR/0000017941
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