Dynamics of ultra-thin two-layer films under the action of inclined temperature gradients

The development of instabilities under the joint action of the van der Waals forces and Marangoni stresses in a two-layer film in the presence of an inclined temperature gradient is investigated. The problem is solved by means of a linear stability theory and nonlinear simulations. It has been found...

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Bibliographic Details
Published in:Journal of fluid mechanics 2009-07, Vol.631, p.165-197
Main Authors: NEPOMNYASHCHY, ALEXANDER A., SIMANOVSKII, ILYA B.
Format: Article
Language:English
Subjects:
Condensed matter: structure, mechanical and thermal properties
Exact sciences and technology
Fluid dynamics
Fluid mechanics
Liquid thin films
Physics
Surfaces and interfaces
thin films and whiskers (structure and nonelectronic properties)
Temperature effects
Temperature gradients
Thin films
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Summary:The development of instabilities under the joint action of the van der Waals forces and Marangoni stresses in a two-layer film in the presence of an inclined temperature gradient is investigated. The problem is solved by means of a linear stability theory and nonlinear simulations. It has been found that for sufficiently large values of the ratio between the longitudinal and transverse Marangoni numbers, the real part of the linear growth rate does not depend on the direction of the wavenumber, except the case of nearly longitudinal disturbances. Numerous types of nonlinear evolution have been observed, among them are ordered systems of droplets, ‘splashes’, oblique waves, modulated transverse and longitudinal structures.
ISSN:0022-1120
1469-7645
DOI:10.1017/S0022112009007010