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Solitary Structures Sustained by Marangoni Flow

Published online by Cambridge University Press:  09 June 2010

L.M. Pismen
L.M. Pismen*
Affiliation:
Department of Chemical Engineering and Minerva Center for Nonlinear Physics of Complex Systems, Technion, 32000 Haifa, Israel
*
1 Email: pismen@technion.ac.il
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Abstract

We construct interfacial solitary structures (spots) generated by a bistable chemical reaction or a non-equilibrium phase transition in a surfactant film. The structures are stabilized by Marangoni flow that prevents the spread of a state with a higher surface tension when it is dynamically favorable. In a system without surfactant mass conservation, a unique radius of a solitary spot exists within a certain range of values of the Marangoni number and of the deviation of chemical potential from the Maxvell construction, but multiple spots attract and coalesce. In a conservative system, there is a range of stable spot sizes, but solitary spots may exist only in a limited parametric range, beyond which multiple spots nucleate. Repeated coalescence and nucleation leads to chaotic dynamics of spots observed computationally in Ref. [1].

Keywords

solitary structuresMarangoni convectioncoalescencenucleation
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 1: Instability and patterns. Issue dedicated to the memory of A. Golovin , 2011 , pp. 48 - 61
Copyright
© EDP Sciences, 2010

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