Analysing the Effects of Non-newtonian Viscoelastic Fluid Flows on Stretching Surfaces with Suction

Abstract

The fourth order Runge-Kutta integration scheme coupled with numerical shooting algorithm is employed to examine heat and mass transfer in a steady two-dimensional Magnetohydrodynamic non-Newtonian fluid flow over a stretching vertical surface with suction by considering radiation, viscous dissipation, Soret and Dufour effects. A steady twodimensional magneto hydrodynamic non-Newtonian fluid flow over a flat surface with suction has been studied. The boundary layer governing partial differential equations are derived by considering the Bossiness approximations. These equations are transformed to nonlinear ordinary differential equations by the techniques of similarity variables and are solved analytically in the presence of buoyancy forces. The effects of different parameters such as magnetic field parameter, Prandtl number, buoyancy parameter, Soret number, Dufour number, radiation parameter, Brinkmann number, suction parameter and Lewis number on velocity, temperature, and concentration profiles are presented graphically and in tables and discussed quantitatively. Results show that the effect of increasing Soret number or decreasing Dufour number tends to decrease the velocity and temperature profiles (increase in Soret cools the fluid and reduces the temperature) while enhancing the concentration. Among the many importance of the fluid in chemical engineering, metallurgy, polymer extrusion process will definitely require cooling the molten liquid to further cool the system, for the production of paper and glass. In this process, the rate of cooling and shrinking influences very much on the final quality of the product.

Viscoelastic boundary layer analysis of constant surface temperature plate embedded in saturated porous media

“…Mass and heat transfer due to free convection in the boundary layer of a Jeffery viscoelastic fluid flow on an isothermal permeable sphere implanted in a porous medium with both heat generation or absorption and thermal radiation was studied 9 . The unsteady flow of magnetohydrodynamic (MHD) of an irregular fluid called Oldroyd‐B was investigated with the inclusion of thermal heat flux bounded by two infinite parallel plates 10 . The viscoelastic incompressible fluid flow over a stretching uniform surface sheet in a porous media including a slip boundary condition was investigated 11 .…”

“…9 The unsteady flow of magnetohydrodynamic (MHD) of an irregular fluid called Oldroyd-B was investigated with the inclusion of thermal heat flux bounded by two infinite parallel plates. 10 The viscoelastic incompressible fluid flow over a stretching uniform surface sheet in a porous media including a slip boundary condition was investigated. 11 Mass and heat transfer in the 2D fluid flow of a non-Newtonian MHD fluid on a vertical stretching surface that included suction and taking into account the effects of Soret, Dufour radiation, and viscous dissipation were analyzed and solved numerically.…”