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Journal of Applied Mechanics and Technical Physics

2014 year, number 5

Ion Slip Effect on a Steady Flow Through a Circular Pipe of a Dusty Conducting Oldroyd 8-Constant Fluid

H. A. Attia1, M. A. M. Abdeen2, M. T. M. M. Elbarawy1
1El-Fayoum University, El-Fayoum-63514, Egypt
2Cairo University, Giza 12211, Egypt
Keywords: circular pipe flow, non-Newtonian fluid, unsteady state, conducting fluid, ion slip, Hall current


In this paper, a steady magnetohydrodynamic (MHD) flow of a dusty incompressible electrically conducting Oldroyd 8-constant fluid through a circular pipe is examined with considering the ion slip effect. A constant pressure gradient in the axial direction and an external uniform magnetic field in the perpendicular direction are applied. A numerical solution is obtained for the governing nonlinear momentum equations by using finite differences. The effect of the ion slip, the non-Newtonian fluid characteristics, and the particle-phase viscosity on the velocity, volumetric flow rates, and skin friction coefficients of both the fluid and particle phases is reported.