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

Exact solution of an incompressible fluid of second-order type by causing forced oscillations in the liquid of finite depth bounded by a porous bottom has been obtained. The results presented are in terms of nondimensional elastico-viscosity parameter ((3) which depends on the non-Newtonian coefficient and the frequency of excitation (a) of the external disturbance while considering the porosity (K) of the medium. The flow parameters are found to be identical with that of Newtonian case as f3 -+ 0 and K - > oo . It is seen that the effect of p. and the porosity of the bounding surface has significant effect on the velocity parameter. Further, the nature of the paths of the fluid particles have also been studied with reference to 13 and the porosity of the bounding surface.