Unsteady hydromagnetic laminar flow of a conducting dusty fluid between two parallel plates started impulsively from rest
Abstract
Consideration is given to the unsteady laminar motion of an electrically conducting, viscous and incompressible dusty fluid that is (1) between two infinitely extended nonconducting parallel plates and (2) under a uniform transverse magnetic field that is fixed relative to the fluid. The velocity fields for the conducting dusty fluid and nonconducting dust particles are obtained in terms of three nondimensional parameters: concentration, relaxation time, and Hartmann number. It is observed through numerical calculation of the expressions for discharge per unit breadth of the plate and the skin friction at the lower plate that, as the Hartmann number increases, velocities of the dusty gas and dust particles increase when both plates are in motion and decrease in the case of Couette motion.
 Publication:

Acta Mechanica
 Pub Date:
 1981
 Bibcode:
 1981AcMec..39..171M
 Keywords:

 Computational Fluid Dynamics;
 Laminar Flow;
 Magnetohydrodynamic Flow;
 Parallel Plates;
 Two Phase Flow;
 Unsteady Flow;
 Channel Flow;
 Couette Flow;
 Dust;
 Flow Velocity;
 Hartmann Number;
 Incompressible Flow;
 Magnetic Fields;
 Velocity Distribution;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer