Document Type


Date of Original Version



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 Ca=0.15, 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 Ca168, 169 (1986)] is used as a boundary condition along an arc of radius R =10-2a from the dynamic contact line, agree well with those using two inner slip models for Ca2000 American Institute of Physics.@ [S1070-6631~00!00402-5]

Publisher Statement

© 2000 American Institute of Physics. @ [S1070-6631~00!00402-5]