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Long interfacial waves in multilayer thin films and coupled Kuramoto–Sivashinsky equations

Published online by Cambridge University Press:  25 July 1999

IGOR L. KLIAKHANDLER
IGOR L. KLIAKHANDLER
Affiliation:
School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel Current address: Department of Mathematics, Lawrence Berkeley National Laboratory, Mail Stop 50A-2152, 1 Cyclotron Road, Berkeley, CA 94720, USA. E-mail: [email protected].
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Abstract

The coupled Kuramoto–Sivashinsky (CKS) equations for multilayer downflowing films are derived and explored. The CKS equations exhibit a wealth of dynamical behaviour, displaying travelling periodic waves, regular and chaotic-like patterns, coexistence of different attractors, and perfect and imperfect synchronization of the interfaces. New physical effects are found, such as suppression of the Rayleigh–Taylor instability for heavy-top stratified films, and new surface-tension-driven instability.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 391 , 25 July 1999 , pp. 45 - 65
Copyright
© 1999 Cambridge University Press

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