Free surface Hele-Shaw flows around an obstacle: A random walk simulation

This paper presents computer simulations of pressure driven viscous flows that creep in two dimensions (Hele-Shaw cells). We model the time and spatial evolution of free liquid-gas interfaces perturbed by solid obstacles of various configurations such as wedges, steps, and ellipses. Our goal is to s...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 69; no. 1 Pt 2; p. 016310
Main Authors Bogoyavlenskiy, Vladislav A, Cotts, Eric J
Format Journal Article
LanguageEnglish
Published United States 01.01.2004
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Summary:This paper presents computer simulations of pressure driven viscous flows that creep in two dimensions (Hele-Shaw cells). We model the time and spatial evolution of free liquid-gas interfaces perturbed by solid obstacles of various configurations such as wedges, steps, and ellipses. Our goal is to study short- and long-scale obstacle effects on the interface shape and velocity. Specific focus is given to the dynamics of a triple (gas-liquid-solid) contact line, which determines local wetting of obstacles. As a principal contribution, we derive a functional relationship between the contact line velocity and the obstacle geometry.
ISSN:1539-3755
DOI:10.1103/physreve.69.016310