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MAGNETOHYDRODYNAMIC FLOW OF A MICROPOLAR FLUID IN A CIRCULAR PIPE WITH HALL EFFECTS

Part of: Foundations, constitutive equations, rheology

Published online by Cambridge University Press:  04 June 2010

D. SRINIVASACHARYA  and
MEKONNEN SHIFERAW
D. SRINIVASACHARYA*
Affiliation:
Department of Mathematics, National Institute of Technology, Warangal 506 004, India (email: [email protected], [email protected])
MEKONNEN SHIFERAW
Affiliation:
Department of Mathematics, Arba Minch University, PO Box 72, Arba Minch, Ethiopia (email: [email protected])
*
✉For correspondence; e-mail: [email protected],[email protected]
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Abstract

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Steady magnetohydrodynamic flow of an incompressible micropolar fluid through a pipe of circular cross-section is studied by considering Hall and ionic effects. The fluid motion is due to a constant pressure gradient, and an external uniform magnetic field directed perpendicular to the flow direction is applied. Expressions for the velocity, microrotation, skin friction and flow rate are obtained. The effects of the micropolar parameter, magnetic parameter, Hall parameter and ion-slip parameter on the velocity, microrotation, skin friction and flow rate are discussed.

Keywords

magnetohydrodynamicsmicropolar fluidcircular pipeHall effects

MSC classification

Secondary: 76A05: Non-Newtonian fluids
Type
Research Article
Information
The ANZIAM Journal , Volume 51 , Issue 2 , October 2009 , pp. 277 - 285
Copyright
Copyright © Australian Mathematical Society 2010

References

[1]Ahmadi, G. and Shahinpoor, M., “Universal stability of magneto-micropolar fluid motions”, Int. J. Eng. Sci. 12 (1974) 657–663.CrossRefGoogle Scholar
[2]Ariman, T., Turk, M. A. and Sylvester, N. D., “Micro continuum fluid mechanics—a review”, Int. J. Eng. Sci. 11 (1973) 905–930.CrossRefGoogle Scholar
[3]Attia, H. A., “Hall current effects on the velocity and temperature fields of unsteady Hartmann flow”, Canad. J. Phys. 76 (1998) 739–746.Google Scholar
[4]Attia, H. A., “Hall effect on the flow of a dusty Bingham fluid in a circular pipe”, Turkish J. Eng. Env. Sci. 30 (2006) 14–21.Google Scholar
[5]Bhargava, R., Kumar, L. and Takhar, H. S., “Numerical solution of free convection MHD micropolar fluid flow between parallel porous vertical plates”, Int. J. Eng. Sci. 41 (2003) 123–136.CrossRefGoogle Scholar
[6]Cowin, S. C., “Polar fluids”, Phys. Fluids 11 (1968) 1919–1927.Google Scholar
[7]Eringen, A. C., “The theory of micropolar fluids”, J. Math. Mech. 16 (1966) 1–16.Google Scholar
[8]Kasiviswanathan, S. R. and Gandhi, M. V., “A class of exact solutions for the magnetohydrodynamic flow of a micropolar fluid”, Int. J. Eng. Sci. 30 (1992) 409–417.Google Scholar
[9]Lukaszewicz, G., Micropolar fluids—theory and applications (Birkhäuser, Boston, 1999).CrossRefGoogle Scholar
[10]Seddeek, M. A., “Effects of Hall and ion-slip currents on magneto-micropolar fluid and heat transfer over a nonisothermal stretching sheet with suction and blowing”, Proc. R. Soc. Lond. A 457 (2001) 3039–3050.CrossRefGoogle Scholar
[11]Soundalgekar, V. M., Vighnesam, N. V. and Takhar, H. S., “Hall and ion-slip effects in MHD Couette flow with heat transfer”, IEEE Trans. Plasma Sci. 7 (1979) 178–182.CrossRefGoogle Scholar
[12]Tani, I., “Steady flow of conducting fluids in channels under transverse magnetic fields, with consideration of Hall effects”, J. Aerospace Sci. 29 (1962) 297–305.CrossRefGoogle Scholar