Instabilities in two-liquid layers subject to a horizontal temperature gradient

Madruga Sánchez, Santiago and Pérez-García, Carlos and Lebon, Georgy (2004). Instabilities in two-liquid layers subject to a horizontal temperature gradient. "Theoretical and Computational Fluid Dynamics", v. 18 ; pp. 277-284. ISSN 0935-4964. https://doi.org/10.1007/s00162-004-0136-2.

Description

Title: Instabilities in two-liquid layers subject to a horizontal temperature gradient
Author/s:
  • Madruga Sánchez, Santiago
  • Pérez-García, Carlos
  • Lebon, Georgy
Item Type: Article
Título de Revista/Publicación: Theoretical and Computational Fluid Dynamics
Date: 7 September 2004
ISSN: 0935-4964
Volume: 18
Subjects:
Freetext Keywords: convection, thermocapillary flow, hydrodynamic instability
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

We study theoretically the stability of two superposed fluid layers heated laterally. The fluids are supposed to be immiscible, the interface undeformable and of infinite horizontal extension. Combined thermocapillary and buoyancy forces give rise to a basic flow when a temperature difference is applied. The calculations are performed for a melt of GaAs under a layer of molten B2 O3 , a configuration of considerable technological importance. Four dif- ferent flow patterns and five temperature configurations are found for the basic state in this system. A linear stability analysis shows that the basic state may be destabilized by oscilla- tory motions leading to the so-called hydrothermal waves. Depending on the relative height of the two layers these hydrothermal waves propagate parallel or perpendicular to the temperature gradient. This analysis reveals that these perturbations can alter significantly the liquid flow in the liquid-encapsulated crystal growth techniques.

More information

Item ID: 21702
DC Identifier: http://oa.upm.es/21702/
OAI Identifier: oai:oa.upm.es:21702
DOI: 10.1007/s00162-004-0136-2
Official URL: http://link.springer.com/article/10.1007%2Fs00162-004-0136-2#page-1
Deposited by: Memoria Investigacion
Deposited on: 31 Mar 2014 15:34
Last Modified: 21 Apr 2016 12:25
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