• MHD FLOW OF DUSTY VISCO-ELASTIC [OLDROYD (1958) TYPE] FLUID THROUGH A LONG CURVILINEAR QUADRILATERAL CHANNEL UNDER THE INFLUENCE OF UNIFORM TRANSVERSE MAGNETIC FIELD

Abstract

In the present paper the unsteady magnetohydrodynamic flow of a dusty electrically conducting visco-elastic [Oldroyd (1958) model] fluid through a long uniform channel, whose cross-section is a curvilinear quadrilateral bounded by the arc and radii of two concentric circles under the influence of time dependent pressure gradient and a uniform magnetic field applied perpendicularly to the flow of fluid has been studied. Analytical expressions for the velocities of the conducting liquid and non-conducting dust particles are obtained by the application of integral transforms. Some particular cases for pressure gradient have been discussed in detail. The results for dusty conducting visco-elastic (Kuvshiniski type) fluid, dusty conducting visco-elastic (Rivlin-Ericksen type) fluid and purely conducting dusty viscous fluid have also been deduced by taking limits (i),(ii) and (iii) ,respectively. If magnetic field is withdrawn i.e., all corresponding results can be obtained.