SLIP BOUNDARY CONDITION FOR VISCOUS FLOW OVER SOLID SURFACES

Abstract

A slip boundary condition is derived for the flow of a viscous fluid over a solid surface, using the theory of thermal activation process. The slip velocity is proportional to the hyperbolic sine of the shear stress on the solid surface, and the slip boundary condition reduces to Navier's slip boundary condition for the flow of Newtonian fluids under small shear stresses. There exists a critical shear stress determining the onset of the slip flow.

Keywords:

• Slip flow
• Rate theory

Acknowledgment

This work is supported by the NSF through Grant No. CMS-0508989.