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 two-dimensional 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.
Highlights
The research seeks to investigate the dynamics of hydromagnetic boundary layer flow of non-Newtonian fluids which has attracted much attention in industrial applications
It is observed that the skin friction increases with increasing values of Prandtl number (Pr), M, and fw; and decreases with increasing values of Lewis number (Le), λ, radiation parameter (Ra) and k1
This means that the combined effect of high viscosity over thermal diffusion, the induced Lorenz force, and suction at the surface of the sheet is to increase the local skin friction; and the combined effect of high thermal diffusion over mass diffusion, buoyancy forces, radiation and viscoelasticity of the fluid is to decrease the local skin friction at the surface of the plate
Summary
The research seeks to investigate the dynamics of hydromagnetic boundary layer flow of non-Newtonian fluids which has attracted much attention in industrial applications. In MHD flow, the magnetic field is used to change the velocity and pressure characteristics of the flow and can significantly delay the onset of turbulent fluctuations These effects together or individually can dramatically alter the heat and mass transfer characteristics and the fluid drags on the surface. Fluids having better electromagnetic properties are normally used in cooling liquid, since imposing a magnetic field on it can control its velocity to improve quality product examined by [1]. Applications of such phenomena include cooling systems for magnetic fusion reactors and reduced-drag ship hulls and airplane fuselages. The obstacle to a workable theory of fluid mechanics is the action of viscosity, which can be neglected only in certain idealized flows
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