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Ion slip effect on a steady flow through a circular pipe of a dusty conducting Oldroyd 8-constant fluid

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Abstract

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.

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Correspondence to H. A. Attia.

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Original Russian Text © H.A. Attia, M.A.M. Abdeen, M.T.M.M. Elbarawy.

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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 55, No. 5, pp. 78–85, September–October, 2014.

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Attia, H.A., Abdeen, M.A.M. & Elbarawy, M.T.M.M. Ion slip effect on a steady flow through a circular pipe of a dusty conducting Oldroyd 8-constant fluid. J Appl Mech Tech Phy 55, 793–799 (2014). https://doi.org/10.1134/S0021894414050083

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  • DOI: https://doi.org/10.1134/S0021894414050083

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