SLOW MOTION OF A SOLID SPHERE IN THE PRESENCE OF A NATURALLY PERMEABLE SURFACE

Autor: O'NEILL, M. E., BHATT, B. S.
Zdroj: The Quarterly Journal of Mechanics and Applied Mathematics; February 1991, Vol. 44 Issue: 1 p91-91, 1p
Abstrakt: Exact solutions of the equations of slow viscous flow are obtained for a solid sphere moving in the presence of a naturally permeable plane surface bounding a porous medium for the cases of (a) normal approach to the surface and (b) rotation about a diameter perpendicular to the surface. Saffman's form of the boundary condition at a naturally permeable surface when the permeability k is small is applied and numerical values of the drag and torque exerted by the fluid on the sphere are obtained for a wide range of the dimensionless parameter λ = σa/√k, with a the radius of the sphere and σ the slip coefficient.
Databáze: Supplemental Index