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Time dependent MHD Couette flow due to ramped motion of one of the boundaries

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Języki publikacji
EN
Abstrakty
EN
The effects of a transverse magnetic field on the Couette flow of an electrically conducting fluid between two infinite parallel plates have been discussed when one of the plates has been set into ramped motion. Under the assumption of a negligible induced magnetic field and applied magnetic field being fixed relative to the fluid or moving plate, the governing momentum equation has been solved exactly. The expressions for velocity field and skin-friction have been presented. The transient features of velocity and skin-friction have been discussed for different values of the Hartmann number. It is seen that the velocity field and skin-friction increases with an increase of the Hartman number when the magnetic field is fixed with respect to the moving plate while the result is just reverse when it is fixed with respect to the fluid.
Rocznik
Strony
383--399
Opis fizyczny
Bibliogr. 13 poz., wykr.
Twórcy
autor
autor
Bibliografia
  • Abramowitz B.M. and Stegun I.A. (1965): Handbook of Mathematical Functions. - New York: Dover.
  • Aggrawal J.P. (1965): On generalized incompressible Couette flow in hydromagnetics. - Appl.Sci. Res., Section B, vol.9, pp.255-266.
  • Carslaw H.S. and Jaeger J.C (1963): Operational Methods in Applied Mathematics. - 2nd Edition, New York: Dover.
  • Fang T. (2004): A note on the incompressible Couette flow with porous walls. - Int. Comm. Heat Mass Transfer, vol.31, No.1, pp.31-41.
  • Jha B.K. and Apere C.A. (2010): Unsteady MHD Couette flows in an annulus: The Riemann-sum approximation approach. - J. Phys. Soc. Jpn, vol.79, No.10, pp.124403-5.
  • Jha B.K. and Apere C.A. (2010): Combined effect of Hall and ion slip currents on unsteady MHD Couette flows in a rotating system. - J. Phys. Soc. Jpn, vol.79, No.10, pp.104401-9.
  • Jha B.K. and Jibril H.M. (2010): Hydromagnetic flow due to ramped motion of the boundary. - Int. J. of Applied Mechanics and Engineering, vol.15, No.14, pp.1101-1109.
  • Katagiri M. (1962): Flow formation in Couette motion in magneto-hydrodynamics. - Jr. of Physical Soc. of Japan, vol.17, No.11, p.393-396.
  • Longwell P.A. (1966): Mechanics of Fluid Flow. - New York: McGraw-Hill Company.
  • Panton R.L. (1996): Incompressible Flow. - Second edition, New York: J. Wiley.
  • Schlichting H. and Gerstein K. (2000): Boundary Layer Theory. - 8th Revised and Enlarged Edition (English), New York: Springer - Verlag.
  • Singh A.K. and Kumar N. (1983): Unsteady magneto-hydrodynamics Couette flow. - Wear, vol.89, pp.125-129.
  • White F.M. (1991): Viscous Fluid Flow. - Second edition, New York: McGraw-Hill Company.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0027-0003
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