Investigation of Wetting Hydrodynamics Using Numerical Simulations

Authors

David E. Finlow
Prakash R. Kota
Arijit Bose, University of Rhode IslandFollow

Document Type

Article

Date of Original Version

1996

Abstract

Meniscus shapes from a simulation of a plate immersing into an infinitely deep liquid bath, for a range of outer length scales, have been obtained numerically. These have been compared with the leading‐order prediction from a three‐region asymptotic analysis done in the double limit, Capillary number, Ca→0, L_S/L_C→0, with Ca ln(L_C/L_S) of O(1), where L_S and L_C represent the slip length and an outer macroscopic length, respectively. For Ca<0.01, the numerically computed and the perturbation solutions show excellent agreement. Within this range of Ca, the meniscus slope at a distance 10L_S from the dynamic contact line is geometry independent, that is, does not vary with changes in the outer length L_C. The interface slope at this point can serve as an appropriate material boundary condition for the outer problem. For 0.01

Citation/Publisher Attribution

Finlow, D. E., Kota, P. R., & Bose, A. (1996). Investigation of Wetting Hydrodynamics Using Numerical Solutions. Physics of Fluids, 8(2), 302-309. doi: 10.1063/1.868840

Available at: http://dx.doi.org/10.1063/1.868840

Publisher Statement

Copyright 1996 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.