Determining the Effect of Volume Fraction of Dust on Magnetohydrodynamic Flow of a Fluid between Two Parallel Plates

The MHD flow of dusty fluids through channels is very critical from an industrial standpoint because molten metals are passed through channels to shape them into various forms, and oil refineries require knowledge of such flows. The objective of this paper is to determine the effect of volume fraction of dust on the flow of Magnetohydrodynamics flow between two parallel plates. In light of this, the motion of an incompressible dusty fluid with uniform distribution of dust particles between two parallel plates under the influence of a uniform transverse magnetic field has been investigated. Following the formation of equations based on well-established theories, they were solved under the assumed conditions, and the effect of various parameters associated with the flow problem was analysed using graphs. The velocities of fluid and dust particles are observed to reduce as the magnetic field is increased.