Analytical solutions of couple stress fluid flows with slip boundary conditions

Abstract

In the present article, the exact solutions for fundamental flows namely Couette, Poiseuille and generalized Couette flows of an incompressible couple stress fluid between parallel plates are obtained using slip boundary conditions. The effect of various parameters on velocity for each problem is discussed. It is found that, for each of the problems, the solution in the limiting case as couple stresses approaches to zero is similar to that of classical viscous Newtonian fluid. The results indicate that, the presence of couple stresses decreases the velocity of the fluid.

Keywords

• Couple stress fluid
• Slip boundary condition
• Exact solution
• Couette flow
• Poiseuille flow
• Generalized Couette flow