Unsteady MHD Flow of a Dusty Couple Stress Fluid through a Circular Pipe

In this paper, the transient magnetohydrodynamics (MHD) flow of a dusty in compressible electrically conducting couple stress fluid through a circular pipe is studied taking the Hall effect in to consideration. A constant pressure gradient in the axial direction and an uniform magnetic field directed perpendicular to the flow direction are applied. The particle phase is assumed to behave as a viscous fluid. A numerical solution is obtained for the governing non-linear equation using transform technique.