Steady MHD Flow of a Dusty Incompressible Non-Newtonian Oldroyd 8-Constant Fluid in a Circular Pipe

The steady magneto-hydrodynamic flow of a dusty incompressible electrically conducting and non- Newtonian Oldroyd 8-constant fluid through a circular pipe is examined considering the Hall effect. A constant pressure gradient is imposed in the axial direction of the pipe while an external uniform magnetic field is applied in the perpendicular direction. A numerical solution for the governing nonlinear momentum equations is obtained using the method of finite differences. The effect of the Hall current, the non-Newtonian fluid characteristics and the particle-phase viscosity on the velocity, the volumetric flow rates, and the skin friction coefficients of both the fluid and the particle phases is investigated.