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.
Highlights
Studies related to two-phase hydromagnetic fluid flow models have remained very active due to their increasing importance in the field of geophysics and engineering
We examine the effect of time (t), Hartmann number (Ha), velocity of applied magnetic field (Kv), varying mass parameter (α) and relaxation time (σ ) on the flow formation
It can be seen that a growing time (t) is accompanied by an increase in velocity for the fluid phase and dust phase, respectively, in all four cases of applied magnetic field (Kv)
Summary
Studies related to two-phase hydromagnetic fluid flow models have remained very active due to their increasing importance in the field of geophysics and engineering. The unsteady motion of a viscous and electrically conducting fluid suspended with dust gas in which the flow was triggered from rest by the sudden impulsive movement of the bounding plates was considered by Mitra and Bhattacharyya [6]. Kumar and Singh [13] exhibited exact solution for hydromagnetic fluid flow in a channel with ramped velocity They reported four cases of motion of magnetic field. The work of Jha and Gambo [37,38,39] and Yusuf et al [40] had significantly reshaped the studies of transient flow formations in different geometries In their work, they employed the use of the classical Laplace transformation in conjunction with Riemann-Sum Approximation (RSA) in treatment of nonlinear partial differential equations. To the best of authors’ knowledge, no work has been done to analyse the impact of velocity of applied magnetic field and relative boundary
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