Viscous Flow Over a Chemically Patterned Surface

Abstract

The classical fluid dynamics boundary condition of no-slip suggests that variation in the wettability of a solid should not affect the flow of an adjacent liquid. However experiments and molecular dynamics simulations indicate that this is not the case. In this paper we show how flow over a solid substrate with variations of wettability can be described in a continuum framework using the interface formation theory developed earlier. Results demonstrate that a shear flow over a perfectly flat solid surface is disturbed by a change in its wettability, i.e. by a change in the chemistry of the solid substrate. The magnitude of the effect is shown to be proportional to cos(t1)-cos(t2) where t1 and t2 are the equilibrium contact angles that a liquid-gas free surface would form with the two chemically different parts of the solid surface.

References in corpus (2)

• Slip behavior in liquid films on surfaces of patterned wettability: Comparison between continuum and molecular dynamics simulations
• Hydrodynamic slip boundary condition at chemically patterned surfaces: A continuum deduction from molecular dynamics

Cited by in corpus (6)

• The Dynamics of Liquid Drops and their Interaction with Solids of Varying Wettabilites
• Finite Element Simulation of Dynamic Wetting Flows as an Interface Formation Process
• Slip or not slip? A methodical examination of the interface formation model using two-dimensional droplet spreading on a horizontal planar substrate as a prototype system
• Finite Element Framework for Describing Dynamic Wetting Phenomena
• Viscous flows in corner regions: Singularities and hidden eigensolutions
• A continuum model for the flow of thin liquid films over intermittently chemically patterned surfaces