Abstract
The steady flow in a parallel plate channel rotating with an angular velocity Ω and subjected to a constant transverse magnetic field is analysed. An exact solution of the governing equations is obtained. The solution in the dimensionless form contains two parameters: the Hartmann number, M 2, and K 2 which is the reciprocal of the Ekman number. The effects of these parameters on the velocity and magnetic field distributions are studied. For large values of the parameters, there arise thin boundary layers on the walls of the channel.
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Hartmann, J., Mat. Fys. Meddel, D. Kgl. Danske Vid. Selsk. 15 (1937) 1.
Agarwal, J. P., Appl. Sci. Res. 9B (1962) 255.
Soundalgekar, V. M., Proc. Nat. Inst. Sci. India 33A (1967) 264.
Yen, J. T. and C. C. Chang, The Physics of Fluids 4 (1961) 1355.
Schercliff, J. A., Proc. Camb. Phil. Soc. 49 (1953) 136.
Tanazawa, I., 10th meeting Theor. Appl. Mech. Japan, 1960, 13 (in Japanese).
Hide, R. and P. H. Roberts, Physics and Chemistry of the Earth, Pergamon Press, New York, 1960, Vol. 4.
Hide, R. and H. P. Robert, Review of Modern Physics, 32 (1960) 799.
Alfven, H. and C. Fälthammer, Cosmical Electrodynamics, Clarendon Press, Oxford, 1963.
Vidyanidhi, V. and S. D. Nigam, Jour. Mathematical and Physical Sciences, 1 (1967) 85.
Greenspan, H. P., The theory of rotating fluids, Cambridge University Press, 1969.
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Nanda, R.S., Mohanty, H.K. Hydromagnetic flow in a rotating channel. Appl. Sci. Res. 24, 65–78 (1971). https://doi.org/10.1007/BF00411705
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DOI: https://doi.org/10.1007/BF00411705