Creeping motion of a single fluid and solid sphere in non-Newtonian fluids

Abstract

An approach to the calculation of drag and velocity of a single Newtonian fluid sphere moving slowly in generalized Newtonian and viscoplastic fluids is suggested. It is based on the application of the modified Rabinowitsch-Mooney equation together with the corresponding relations for consistency variables, which have been suggested for the creeping motion of the solid sphere, and on the application of the relationship of Hadamard-Rybczynski valid for both fluid and solid spheres. The solution is concretized for the power-law, Ellis, Bingham, and Robertson-Stiff flow models.