Slow motion of a power law liquid drop in another immiscible power law liquid

Abstract

Previous work on the slow translatory motion of drops, with clean interface, in non-Newtonian media has been briefly reviewed. The velocity and stress variational principles are employed to estimate upper and lower bounds on drag force experienced by a power law fluid sphere moving slowly in another stationary immiscible power law fluid. The upper and lower bounds are reasonably close to each other in the range 1 ≥ n ≥ 0.4 but deviate increasingly as the fluid becomes more and more non-Newtonian. The results reported herein contain several prior results as special cases.