Abstract

In present paper, an investigation has been made on the fluctuating flow of a non-Newtonian second grade fluid through a porous medium over a semi-infinite porous plate in presence of a transverse magnetic field B0. The governing equations have been solved analytically and the expressions for the velocity and stress fields are obtained. The free stream velocity U(t) fluctuates in time about a non-zero constant mean. The effects of the permeability parameter K and magnetic field parameter M on velocity field have been analyzed quantitatively with the help of figures. It is noticed that the velocity field asymptotically approaches free stream velocity as it goes far away from the plate.

Highlights

  • The fluctuating flows of viscous incompressible fluid through porous medium over an infinite porous plate have been investigated rigorously by many researchers because of its wide application in different fields

  • The phenomenon of flows through porous medium has been a subject of interest of many researchers because of its wide range of application in different fields such as petroleum engineering, chemical engineering etc

  • Soundalgekar and Puri [1] investigated on fluctuating flow of an elastic-viscous fluid past an infinite plate

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Summary

Introduction

The fluctuating flows of viscous incompressible fluid through porous medium over an infinite porous plate have been investigated rigorously by many researchers because of its wide application in different fields. Varshney [3] studied fluctuating flow of viscous fluid through a porous medium bounded by a porous plate In his work, he has used Lighthill’s method in finding the solution of the field equation and shows that the results obtained reduce those of Messiha [5]. Venkateswarlu, Reddy and Lakshmi [9] studied unsteady MHD flow of a viscous fluid past a vertical porous plate under oscillatory suction velocity. We have investigated the fluctuating flow of non-Newtonian fluid in a semi-infinite region through a porous medium bounded by a porous plate in presence of transverse magnetic field. The effects of permeability parameter K, Hartmann number M, frequency of fluctuation ω on the velocity field and skin friction have been illustrated graphically

Mathematical Analysis of the Problem
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