Unsteady Stokes Flow of a Couple Stress Fluid around a Rotating Sphere with Slip
Abstract
In this paper, the unsteady Stokes flow of an incompressible couple stress fluid around a
rotating sphere is investigated. The non-classical slip condition is applied on the spherical
boundary. In addition, the couple stresses on the boundary are assumed to vanish. The
analytical solution of the problem is obtained using the technique of Laplace transform.
The torque experienced by the fluid on the sphere is evaluated and the inversion of the
Laplace transform is implemented numerically. The results showed that the torque acting
on the sphere increases monotonically with the slip parameter at a fixed time. They also
showed that the presence of couple stresses increases the torque.
Journal/Conference Information
The European Physical Journal Plus ,131: 175-182