Abstract
The unsteady motion of an incompressible viscous conducting fluid with embedded small inert spherical particles in a channel bounded by two rigid, non-conducting,infinite parallel plates in presence of an external magnetic field acting transversely to the plates has been discussed in this paper. The flow is supposed to generate impulsively from rest due to rectified sine pulses applied periodically on the upper plate with the lower plate held fixed. There is no external electric field imposed on the system and the magnetic Reynolds number is very small. Exact solution of the problem is obtained by the method of Fourier analysis. The inquiries are made about the fluid and the particle velocities and the skin-frictions at the walls. The effects of the magnetic field and the particles on the fluid velocity and the skin-frictions at the walls are examined quantitatively. Finally, the solution for the fluid velocity derived by the present method has been compared with that obtained by the usual method of Laplace transforms and confirms that both the results are same.
