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Impact of relative motion between magnetic field and boundary movement on time-dependent MHD Couette flow of dusty fluid in a porous annulus
  • Basant Jha,
  • Dauda Gambo
Basant Jha
Ahmadu Bello University

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Dauda Gambo
Ahmadu Bello University
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Abstract

The transient flow of a magnetohydrodynamic binary mixture passing through a porous annular duct has been proposed semi-analytically. Particularly, the role of velocity of applied magnetic field and relative motion of the bounding wall has been investigated theoretically. Here, our treatment of the governing momentum equations accountable for the flow is done using the classical Laplace transform technique and Riemann-Sum Approximation (RSA). The effects of the flow parameters on the fluid phase velocity, dust phase velocity and skin frictions has been illustrated pictorially. Findings suggests that a growing time is necessary for an increasing velocity and decreasing drag on the outer wall of the cylinder for both components of flow. Hartmann number is seen to accelerate velocity and skin frictions for both cases of boundary movement with an overwhelming presence of velocity of applied magnetic field over the local Lorentz force for the fluid phase and dust phase. Moreover, higher profiles for velocity and skin frictions are seen with fluid phase and impulsive movement of cylinder.