Abstract
AbstractThe study of oscillating flow of a Couple Stress fluid past a permeable sphere is considered. Analytical solution for the flow field in terms of stream function is obtained using modified Bessel functions. The formula for Drag acting on the sphere due external flow is evaluated. Pressure field for the flow region past and inside the sphere is obtained. Effects of physical parameters like couple stress parameter, permeability, frequency and geometric parameters on the drag due to internal and external flows are represented graphically. It is observed that the drag for viscous fluid flow will be less than the case of couple-stress fluid flow and hence couple stress fluids offer resistance for flow.
Highlights
Devakar et al [6] studied analytical solutions of some fully developed ows of Couple Stress uids between two cylinders with slip boundary conditions
The oscillatory ow of incompressible couple stress uid ow past a permeable sphere is considered in the present study due to its practical importance
As τ or S increases, f increases. i.e as couple stresses increase, they increase the radial velocity. This means in the case of viscous ow, the radial velocity will be less than that in couple stress uid ow
Summary
Nomenclature a: radius of the sphere Q : uid velocity vector with dimensional and nondimensional form. Abstract: The study of oscillating ow of a Couple Stress uid past a permeable sphere is considered. E ects of physical parameters like couple stress parameter, permeability, frequency and geometric parameters on the drag due to internal and external ows are represented graphically. Stokes solved creeping ow of couple stress uid across a sphere [2].
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