Exact Solutions of an Incompressible Fluid Flow of Second Order byForced Oscillations on the Porous Boundary

Abstract

Exact solution of an incompressible fluid of second-order type  by causing forced oscillationsin the liquid of finite depth bounded by a porous bottom has been obtained.  The results presentedare in terms of nondimensional elastico-viscosity parameter () which depends on the non-Newtonian coefficient and the frequency of excitation () of the external disturbance whileconsidering the porosity (K) of the medium. The flow parameters are found to be identical withthat of  Newtonian case as  and K.  It is seen that the effect of  and the porosityof the bounding surface has significant effect on the velocity parameter.  Further, the nature ofthe paths of the fluid particles have also been studied with reference to  and the porosity ofthe bounding surface.