Abstract
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 in this paper. The results presented are in terms of non-dimensional elastic-viscosity parameter (β) which depends on the non-Newtonian coefficient and the frequency of excitation (σ) of the external disturbance while considering the porosity (K) and magnetic parameter (m) of the medium into account. The flow parameters are found to be identical with that of Newtonian case as β →0, m →0 and K→ ∞. It is seen that the effect of elastico viscosity parameter, magnetic parameter and the porosity of the bounding surface has significant effect on the velocity parameter, phase parameter, skin friction and mass flow rate. Further, the nature of the paths of the fluid particles have also been obtained with reference to the elastico viscosity parameter, magnetic parameter and the porosity of the bounding surface.
Highlights
When a conductive fluid moves through a magnetic field, an ionized gas is electrically conductive, and the fluid is influenced by the magnetic field
Natural convection and transfer of heat is of considerable interest in problems that arises in magneto hydrodynamic (MHD) especially in the technical field due to its frequent occurrence in industrial technology and geothermal applications
In several problems related to geophysical, petroleum, chemical and biomechanical that are usually bounded by porous medium, the problem assumes greater significance
Summary
When a conductive fluid moves through a magnetic field, an ionized gas is electrically conductive, and the fluid is influenced by the magnetic field. In view of several industrial and technological importance,[6] studied the problem of the exact solutions of two dimensional flows of a second order incompressible fluid by considering the rigid boundaries. Later, [23] had examined the problem of unsteady flow of an incompressible viscous electrically conducting fluid in the American Journal of Software Engineering and Applications 2016; 5(5): 33-39 tube of elliptical cross section under the influence of the magnetic field. An attempt has been made to study the effects of the transverse magnetic field on the flow of incompressible viscous electrically conducting fluid of second order type creating forced oscillations on the porous boundary.
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