Rotating flow of non-newtonian fluids

Abstract

The problem of an elastico-viscous fluid resting on a plate which moves with a time dependent velocity in its own plane (along negative x direction) and rotating with a constant velocity Iomega; along with the fluid as a rigid body has been discussed, It is found that the elastic property of the fluid increases the drag and the lateral stress on the plate, The rotation introduces fluid motion in the y direction, For a fixed time and distance from the plate, the velocity fluctuates with decreasing magnitudes with increasing Iomega;, with the result that the boundary layer thickness reduces as Iomega; increases, The stresses increase parabolically with respect to Iomega;, The solution for an arbitrary velocity of the plate is also presented, In case of impulsive flows a secondary boundary layer whose thickness is of order √(vt) (v is the kinematic viscosity) is found to develop for very short times