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Article
Numerical Investigation of Boundary Conditions for Moving Contact Line Problems
Chemical Engineering Faculty Publications
  • Sandesh Somalinga
  • Arijit Bose, University of Rhode Island
Document Type
Article
Date of Original Version
3-1-2000
Disciplines
DOI
10.1063/1.870256
Abstract

When boundary conditions arising from the usual hydrodynamic assumptions are applied, analyses of dynamic wetting processes lead to a well-known nonintegrable stress singularity at the dynamic contact line, necessitating new ways to model this problem. In this paper, numerical simulations for a set of representative problems are used to explore the possibility of providing material boundary conditions for predictive models of inertialess moving contact line processes. The calculations reveal that up to Capillary number Ca50.15, the velocity along an arc of radius 10Li (Li is an inner, microscopic length scale! from the dynamic contact line is independent of the macroscopic length scale a for a.103Li , and compares well to the leading order analytical ‘‘modulated-wedge’’ flow field [R. G. Cox, J. Fluid Mech. 168, 169 (1986)] for Capillary number Ca,0.1. Systematic deviations between the numerical and analytical velocity field occur for 0.1,Ca,0.15, caused by the inadequacy of the leading order analytical solution over this range of Ca. Meniscus shapes produced from calculations in a truncated domain, where the modulated-wedge velocity field [R. G. Cox, J. Fluid Mech. 168, 169 (1986)] is used as a boundary condition along an arc of radius R 51022a from the dynamic contact line, agree well with those using two inner slip models for Ca

Publisher Statement

Copyright 2000 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

Citation Information

Somalinga, S., & Bose, A. (2000). Numerical Investigation of Boundary Conditions for Moving Contact Line Problems. Physics of Fluids, 12(3), 499-510.

Available at: http://link.aip.org/link/?phf/12/499