Analytical Solution to Slow Flow of a Cosserat Fluid Past a Sphere Using Slip Boundary Condition

Abstract:- In the present paper the theory of the micropolar fluids based on the theory of Cosserat continua has been applied for analysis of Stokes flow (i.e., creeping flow) past a rigid sphere. The flow is considered in the presence of Trostel's slip boundary condition which states that the tangential velocity on the solid wall (i.e. slip velocity) is proportional to the shear stress on the wall. The solution of problem in this case is reduced to simultaneous solution of biharmonic and Helmholtz equations for Stokes stream function. The problem is solved by the method of separation of variables in spherical coordinates. The solution is used to plot streamline topology of this flow and the pressure and drag coefficients are studied as the slip parameter is varying