DRAG ON A POROUS SPHERE EMBEDDED IN COUPLE STRESS FLUID
Shyamala Sakthivel, Pankaj Shukla
Abstract
In this work, the flow developed by the steady axisymmetric Stokes flow of couple stress fluid through a porous sphere is analyzed. The kinematic viscosity of mutual nonpenetrability, continuity of tangential stress and velocity, and vanishing couple stress conditions are applied on the surface of the porous sphere. Expressions for the velocity and couple stress tensor components are gotten as far as Macdonald functions and Gagenbauer's polynomials. An analytical solution for the flow field as far as stream function is explored by utilizing the separation of variables method. The drag force experienced by a porous sphere due to the internal and external flow is determined. The impact on drag force for various parameters like couple stress parameter and viscosity are depicted graphically. Some special cases were likewise discussed.