The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Research Article

A theorem for a fluid Stokes flow

D. Palaniappana1, S. D. Nigama1 and T. Amaranatha1

a1 School of Math. and Comp./Inf. Sc, University of Hyderabad, India.

Abstract

A sphere theorem for non-axisymmetric Stokes flow of a viscous fluid of viscosity μe past a fluid sphere of viscosity μi is stated and proved. The existing sphere theorems in Stokes flow follow as special cases from the present theorem. It is observed that the expression for drag on the fluid sphere is a linear combination of rigid and shear-free drags.

(Received February 07 1992)

(Revised October 01 1992)