Convective instabilities in two superposed horizontal liquid layers heated laterally.

Madruga Sánchez, Santiago and Pérez-García, Carlos and Lebon, Georgy (2003). Convective instabilities in two superposed horizontal liquid layers heated laterally.. "Physical Review E", v. 68 ; pp.. ISSN 1539-3755. https://doi.org/10.1063-651X/2003/68?4?/041607?12?.

Description

Title: Convective instabilities in two superposed horizontal liquid layers heated laterally.
Author/s:
  • Madruga Sánchez, Santiago
  • Pérez-García, Carlos
  • Lebon, Georgy
Item Type: Article
Título de Revista/Publicación: Physical Review E
Date: 2003
ISSN: 1539-3755
Volume: 68
Subjects:
Faculty: E.T.S.I. Aeronáuticos (UPM)
Department: Fundamentos Matemáticos de la Tecnología Aeronáutica [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

This work is devoted to the theoretical study of the stability of two superposed horizontal liquid layers bounded by two solid planes and subjected to a horizontal temperature gradient. The liquids are supposed to be immiscible with a nondeformable interface. The forces acting on the system are buoyancy and interfacial tension. Four different flow patterns and temperature profiles are found for the basic state. A linear perturbative analysis with respect to two- and three-dimensional perturbations reveals the existence of three kinds of patterns. Depending on the relative height of both liquids several situations are predicted: either wave propa- gation from cold to the hot regions, or waves propagating in the opposite direction or still stationary longitu- dinal rolls. The behavior of three different pairs of liquids which have been used in experiments on bilayers under vertical gradient by other authors have been examined. The instability mechanisms are discussed and a qualitative interpretation of the different behaviors exhibited by the system is provided. In some configurations it is possible to find a codimension-two point created by the interaction of two Hopf modes with different frequencies and wave numbers. These results suggest to consider two liquid layers as an interesting prototype ? nard-Marangoni problem.

More information

Item ID: 21704
DC Identifier: http://oa.upm.es/21704/
OAI Identifier: oai:oa.upm.es:21704
DOI: 10.1063-651X/2003/68?4?/041607?12?
Deposited by: Memoria Investigacion
Deposited on: 11 Feb 2014 14:15
Last Modified: 21 Apr 2016 12:26
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