Abstract
This research investigates the unsteady flow dynamics of an electrically conducting Newtonian fluid with variable viscosity in an inclined channel under the influence of a uniform magnetic field. The flow is driven by a constant pressure gradient applied at the entrance of the channel, and the governing equations are derived from the Navier–Stokes equation, incorporating the impact of magnetic fields, gravitational force, and viscosity variations. The no-slip boundary condition at the channel walls and appropriate initial conditions are applied. A numerical solution to the non-dimensionalized flow equations is obtained to analyze key flow characteristics, such as velocity profiles, flow rate, and wall stresses. The impact of various dimensionless parameters, including viscosity variation, magnetic field strength, Froude number, and channel inclination angle, on the flow behavior is explored through graphical and tabular presentations. The results provide insights into how these parameters influence the velocity distribution, volumetric flow rate, and wall stresses in the inclined channel, contributing to a deeper understanding of magnetohydrodynamic flows in practical applications.
Published Version
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