Exact Solutions of Couple Stress Fluid Flows

摘要

Exact solutions of non-Newtonian fluid flows are very rare. In this paper, the couple stress fluid flows are considered and certain exact solutions of these flows are derived. The governing equations of motion of an incompressible steady-state couple stress fluid in the absence of body forces and body couples are considered. Certain special cases are discussed where these equations can be converted to ordinary differential equations, which can be solved in terms of special functions.