Unsteady flow of an electrically conducting dusty viscous liquid between two parallel plates (Q1095004)

The present problem considers the two-dimensional laminar flow of an electrically conducting viscous incompressible fluid with embedded nonconducting identical spherical particles through a long channel under the influence of a uniform magnetic field and a time varying pressure gradient, taking the fluid and dust particles to be `initially' at rest. The changes in velocity profiles for liquid and dust particles have been determined and the effect of the strength of the magnetic field on velocity profiles at fixed time has been depicted graphically. Some particular cases have also been given.