The effect of slip boundary condition on the flow of granular materials: a continuum approach

Abstract

In the previous studies we have looked at a fully developed flow under the assumption that the granular materials adhere to the boundary. Whether one uses the continuum approach or the kinetic theory approach in modeling of the granular materials, slip may occur at the wall, especially when the interstitial fluid is a gas, and therefore the classical assumption of adherence boundary condition at the wall no longer applies. The steady, fully developed flow of granular materials down an inclined plane subject to slip at the wall is studied numerically. This is a non-linear boundary value problem. The results for the velocity profiles are presented in terms of appropriate dimensionless numbers.