Circular Pipe MHD Flow of a Dusty Bingham Fluid

Hazem A.  Attia; Mohamed E. S.  Ahmed

doi:10.6180/jase.2005.8.4.01

Circular Pipe MHD Flow of a Dusty Bingham Fluid

Hazem A. Attia This email address is being protected from spambots. You need JavaScript enabled to view it.¹ and Mohamed E. S. Ahmed²

¹Department of Mathematics, College of Science, King Saud University, Al-Qasseem Branch Buraidah 81999, Kingdom of Saudi Arabia
²Department of Engineering Mathematics and Physics, Faculty of Eng. Cairo University, El-Fayoum Branch Orman, Giza 12163, Egypt

Received: July 21, 2004
Accepted: December 16, 2004
Publication Date: December 1, 2005

Download Citation: ||https://doi.org/10.6180/jase.2005.8.4.01

ABSTRACT

In this paper, the unsteady flow of a dusty viscous incompressible electrically conducting Bingham fluid through a circular pipe is investigated. 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 momentum equations using finite differences. The effect of the magnetic field parameter H_a, the non-Newtonian fluid characteristics (the flow index n), and the particle-phase viscosity β on the transient behavior of the velocity, volumetric flow rates, and skin friction coefficients of both fluid and particle-phases are studied. It is found that all the flow parameters for both phases decrease as the magnetic field increases or the flow index decreases. On the other hand, increasing the particle-phase viscosity increases the skin friction of the particle phase, but decreases the other flow parameters.

Keywords: Pipe Flow, Two Phase Flow, Hydromagnetic Flow, Non-Newtonian Fluid

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