Determining the velocity of a non-newtonian medium flowing past spherical particles

The general hydrodynamic approach is used to formulate and solve the problem of determining the velocity field and pressure of a non-Newtonian medium flowing past a spherical particle. The rheological properties of the non-Newtonian medium are described in terms of a two-parameter power-law model. Expressions are obtained for the velocity of a sphere (in particular, a bubble) relative to the flow of the non-Newtonian liquid in different hydrodynamic pattern. The effects of rheological parameters on the flow velocity and on the limiting sizes of bubbles what retain spherical form, are analyzed.