Interaction of Reaction-Diffusion Fronts and Marangoni Flow on the Interface of Deep Fluid

Details Interaction of Reaction-Diffusion Fronts and Marangoni Flow on the Interface of Deep Fluid Interaction of Reaction-Diffusion Fronts and Marangoni Flow on the Interface of Deep Fluid

1996-08-18

arxiv.org/abs/patt-sol/9608004v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, RevTeX, 2 PS-figures

Scientific paper

10.1103/PhysRevLett.78.382

I consider a bistable reaction-diffusion system on the interface of deep fluid interacting with Marangoni flow. The method of matched asymptotic expansions is used to resolve the singularity at a sharp interface between the alternative states, and to compute the self-induced flow velocity advecting the domain boundary. It is shown that Marangoni flow serves as an efficient mechanism preventing the spread of the state with a higher surface tension when it is dynamically favorable.

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