Hydrodynamic behaviour of velocity of applied magnetic field on unsteady MHD Couette flow of dusty fluid in an annulus

Abstract

This research work inspects mass transport phenomenon of Saffman’s dusty fluid model for transient magnetohydrodynamics fluid flow of a binary mixture passing through an annular duct. Particularly, effort has been devoted to theoretically explore the role of velocity of applied magnetic field. Here, our treatment of the governing momentum equations accountable for the flow is done using the classical Laplace transform technique and Riemann-Sum Approximation. The effects of the physical parameters such as time, relaxation time parameter, radii ratio, Hartmann number, variable mass parameter and velocity of applied magnetic field on the fluid phase velocity, dust phase velocity and skin friction have been illustrated pictorially. It is concluded that contrary to the known classical effect of boosting Hartmann number on velocity, both components of flow (fluid and dust phase) and skin friction are seen to be heightened with an overwhelming presence of velocity of applied magnetic field. For large time, it is anticipated that higher profiles for velocity and skin friction are seen with fluid phase and an accelerated moving wall.

Reverse flow analysis of hybrid nanofluid’ MHD mixed convection flow in a Vertical Cylindrical Annulus: An Exact Solution

“…Using dimensionless parameters defined in (5), the equations governing the problem become dimensionless in the form of relations (7)(8).…”

“…Laplace transform technique has been utilized and results indicated the act of suction on perforated walls and the increase of oscillation frequency reduce the effectiveness of skin frictions on both walls of cylinder. Additionally, there is further research [6][7][8][9] conducted to investigate fluid flow and heat transfer in an annulus. Amouzadeh et al [10] surveyed analytically the influence of suction/injection on MHD fluid flow in a vertical annulus by considering radial heat generation or absorption with the aim of cooling electronic equipment.…”

Effects of Newtonian heating and heat generation on magnetohydrodynamics dusty fluid flow between two parallel plates

“…In the existence of a chemical reaction, Afikuzzaman et al (2018) reported heat transfer and free convective flow across an upright plate with MHD. Dusty fluid in an annulus with hydrodynamic velocity behavior was studied by Jha and Gambo (2022). A magnetic field was found to impact Couette flow.…”