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LANS Seminar
May 25, 2022 @ 10:30 - 11:30 CDT
Seminar Title: Marangoni Meets Burgers: New Mathematics for Surfactant Dynamics
Speaker: Darren Crowdy, Professor, Department of Mathematics, Imperial College London
Date/Time: May 25, 2022 / 10:30 am – 11:30 am
Location: See meeting URL on the cels-seminars website (requires Argonne login)
Host: Sven Leyffer
Description: Motivated by fast-growing interest, for soft matter applications and micro/nano-fluidics,in Marangoni effects at interfaces, this talk will survey a number of new mathematical results on insoluble surfactant dynamics on the free surface of a viscous fluid. Starting with a discussion of some basic transport problems involving “Marangoni surfers” we will build up the theoretical approach to describe the unsteady formation of interfacial “stagnant caps” when surface diffusion is negligible. The effects of reaction kinetics are also incorporated into the model. All this leads up to showing the (surprising) relevance of the complex Burgers equation to the dynamics of insoluble surfactants at arbitrary surface Peclet numbers — when surface diffusion and advection are both present — leading to a remarkable linearization of this nonlinear multiphysics problem having many mathematical, and physical, ramifications only so far partially explored.
Please note that the meeting URL for this event can be seen on the cels-seminars website, which requires an Argonne login.