In this study the steady hydromagnetic flow of fluid between two porous concentric circular cylinders is consider. The fluid isconsider as viscous, incompressible, conducting. The equation of motion and the constitutive equations form a system of non-linear ODEs that is investigated analytically, and in a few cases the numerical results are compared with a known numerical solution. Numerical computations show the effect of the non-Newtonian quantities on the velocity and on the shear stress as the dimensionless parameters are varied. It is supposed that the rate of suction at the inner cylinder is equal to the rate of injection at the outer.

hydromagnetic flow, porous medium, viscous, incompressible, conducting fluid.

[1] Z. Abbas, J. Hasnaina, and M. Sajid, “Hydromagnetic mixed convective two-phase flow of couple stress and viscous fluids in an inclined channel,” Zeitschriftfür Naturforschung A, vol. 69, no. 10-11, pp. 553–561, 2014.
[2] J. C. Umavathi, A. J. Chamkha, A. Mateen, and A. Al-Mudhaf, “Unsteady two-fluid flow and heat transfer in a horizontal channel,” Heat and Mass Transfer, vol.42, no.2, pp. 81–90, 2005.
[3] ShercliffJ.A.Proc. Comb. Phil. Soci, 49 (1953), 136.
[4] Chang C.C. and Lundgren, T.S., ZAMP, 12 (1961), 100.
[5] Edward, R.D’SA ZAMS 17,140, 1966.
[6] Singh D. and Rizvi, Phys. Fluids, 7, 285, 1964.
[7] Singh, G.S.Jour. Sci. Engg. Res., 9, 284, 1965.
[8] MahapatraJ.R.Appl. Sci. Res, 27, 274, 1973.
[9] Sengupta P.R. and Ghosh, S.K., Gzech, Jour. Phys. 25, 514, 1975.
[10] Roy Chowdhury, S.K. Ind, Jour. Theo. Phys, 31, 137, 1983.
[11] Ahmadi O. and Manvi, R. Ind. Jour. Tech, 9, 441, 1971.
[12] Gulabram and Mishra, R.S.Ind. Jour. Pure. Appl: Math., 8, 637, 1977.
[13] Biswas, D., Blood Flow Models: A Comparative Study, Mittal Publications, New Delhi, India, 2000.
[14] Pedley, T.J., The Fluid Mechanics of Large Blood Vessels, Cambridge University Press, London, 1980.
[15] Haynes, R.H., Physical Basis of The Dependence of Blood Viscosity on Tube Radius, Am. J.Physiol, 198(6), 1193-1200, 1960.
[16] Cowin, S.C., The Theory of Polar Fluids, Adv. Appl. Mech, 14, 179-347, 1974.
[17] Skalak, R., Theoretical Models on Capillary Flow, Blood Cells, 8, 147-152, 1982.
[18] Mann, D.E. and Trarbell, J.M., Flow of Non-Newtonian Blood Analog Fluids in Rigid Curved and Straight Artery Models, Biorheology, 27, 711-733, 1990.
[19] Biswas, D. and Nath, A., Poiseuille Flow of Power-Law Fluid Model for Blood Flow with Velocity Slip, Journal of Assam University, 6(1), 1-13, 2001.
[20]Bugliarello, G. and Hayden, J.W., High speed Microcinematographic Studies of Blood Flow in Vitro, Science, 138, 981-983, 1982.
[21]Bugliarello, G and Sevilla, J., Velocity Distribution and Other Characteristics of Steady and Pulsatile Blood in Fine Glass Tubes, Biorheology, 7, 85-107, 1970.
[22]Young, D.F. and Tsai, F.Y., Flow Characteristics in Models of Arterial stenosis-I: Steady Flow, J.Biomech. 6, 395-411, 1973.