New types of long-wave oscillatory Marangonni instabilities in multilayer systems

Autor:	A. A. Nepomnyashchy, I. B. Simanovskii
Rok vydání:	1997
Předmět:	Convection Physics Marangoni effect Oscillation Applied Mathematics Mechanical Engineering Marangoni number Mechanics Condensed Matter Physics Instability Physics::Fluid Dynamics Classical mechanics Mechanics of Materials Limit (mathematics) Boundary value problem Eigenvalues and eigenvectors
Zdroj:	The Quarterly Journal of Mechanics and Applied Mathematics. 50:149-163
ISSN:	1464-3855 0033-5614
DOI:	10.1093/qjmam/50.1.149
Popis:	The onset of Marangoni-Benard convection for a three-layer system is considcred in the long-wave limit. Different kinds of instabilities produced by deformations of the interfaces are analysed. A new mechanism of oscillatory instability essentially connected with the interaction of both interfaces is found. Peculiarities of this type of oscillation are the finite value of the critical Marangoni number in the long-wave limit and the quadratic dependence of the frequency on the wave number.
Databáze:	OpenAIRE
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