Magnetohydrodynamics natural convection boundary layer flow of dusty fluid past a vertical stretching sheet

Abstract

Research on magnetohydrodynamics in natural convection boundary layer flow of dusty fluid has become a great interest in the fluid mechanic dynamics due to its importance in many engineering applications. However, the present of solid particles in the form of dust, ash or soot in dusty fluid either naturally or deliberately, suspended in the electrically conducting fluid may influence the fluid flow characteristics. Therefore, in this study the effect of suspended particles on magnetohydrodynamics flow in a viscous fluid past a vertical stretching sheet is investigated. Specific cases with different effects are considered such as slip effect, thermal radiation, convective boundary condition and Hall effect. The governing non-lin ear partial differential equations of the problems are transformed into a set of non-linear ordinary differential equations by using a suitable similarity transformation . The obtained equations are solved numericall y by Keller-box method . The numerical results of velocity profile, temperature profile, skin friction and Nusselt number affected by fluid-particle interaction , magnetic, slip velocity, slip thermal , radiation and Hall parameters as well as Biot number, Grashof number and Prandtl number for particle and fluid phases are presented graphically and analyzed in detail. This study shows that, the presence of suspended particles in a fluid caused the momentum and thermal boundary layer thickness to become thinner. The magnetic parameter plays the role in decreasing the velocity profile and momentum boundary layer thickness. Also, magnetic parameter affects the increment of the temperature profile and thermal boundary layer thickness. In addition , increasing slip velocity parameter reduces the velocity profile and skin friction. However, increasing slip thermal parameter decreases temperature profile and Nusselt number. Furthermore, radiation parameter is observed to increase the velocity profile , temperature profile and thermal boundary layer thickness. Lastly, the Hall parameter increases the velocity profile but decreases the temperature profile. In all cases studied, the velocity and temperature profiles for fluid phase are always higher than the dust phase.