Reactive autophobic spreading of drops

Authors:
John K. Hunter;Zhilin Li;Hongkai Zhao
Affiliations:
Department of Mathematics and Institute of Theoretical Dynamics, University of California at Davis, Davis, California;Center for Research in Scientific Computation and Department of Mathematics, North Carolina State University, Raleigh, North Carolina;Department of Mathematics, University of California at Irvine, Irvine, California
Venue:
Journal of Computational Physics
Year:
2002

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Abstract

We use a lubrication theory approximation to formulate a model for the reactive spreading of drops that deposit an autophobic monolayer of surfactant on a surface. The model consists of a Poisson equation on a moving domain with boundary conditions that depend on the history of the domain motion. We develop a numerical algorithm for solving the model, using the immersed interface method and the level-set method. Numerical solutions for traveling drops are qualitatively similar to experimental observations of reactive autophobic spreading.