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Issue Math. Model. Nat. Phenom.
Volume 3, Number 1, 2008
Interfacial phenomena in fluids
Page(s) 108 - 125
DOI 10.1051/mmnp:2008036
Published online 17 July 2008

Math. Model. Nat. Phenom. Vol. 3, No. 1, 2008, pp. 108-125
DOI: 10.1051/mmnp:2008036

Instabilities of Diffuse Interfaces

N. Bessonov1, J. Pojman2, G. Viner2, V. Volpert3 and B. Zoltowski2

1  Institute of Mechanical Engineering Problems, 199178 Saint Petersburg, Russia
2  Department of Chemistry and Biochemistry, The University of Southern Mississippi Hattiesburg, MS 39606, USA
3  Institut de Mathématiques, UMR 5208 CNRS, Université Lyon 1 69622 Villeurbanne, France

volpert@math.univ-lyon1.fr

Published online: 17 July 2008

Abstract
Composition gradients in miscible liquids can create volume forces resulting in various interfacial phenomena. Experimental observations of these phenomena are related to some difficulties because they are transient, sufficiently weak and can be hidden by gravity driven flows. As a consequence, the question about their existence and about adequate mathematical models is not yet completely elucidated. In this work we present some experimental evidences of interfacial phenomena in miscible liquids and numerical simulations of miscible drops and diffuse interfaces.


Mathematics Subject Classification. 76E17, 76R50

Key words: miscible liquids -- interfacial phenomena -- drops -- interfacial waves





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