Hall Effect on the Flow of a Dusty Bingham Fluid in a Circular Pipe

Authors : Hazem Ali ATTIA

Pages : 14-21

Doi:10.3906/sag-1207-72

View : 10 | Download : 4

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, the transient flow of a dusty viscous incompressible electrically conducting non-Newtonian Bingham fluid through a circular pipe is studied taking the Hall effect into consideration. A constant pressure gradient in the axial direction and a 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 nonlinear equations using finite differences. It is found that the magnetic field decreases the fluid and particle velocities; however, the Hall parameter leads to an increase in the average velocities of both the fluid and particle phases and, consequently, in their flow rates and the velocity gradients at the wall.
Keywords : Magneto fluid mechanics, Flow in channels, Circular pipe flow, Bingham fluid