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Hall effects on MHD low and heat transfer over a stretching surface

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A magnetohydrodynamic (MHD) flow of an incompressible viscous electrically conducting fluid over a stretching surface is investigated when the fluid is permeated by a uniform transverse magnetic field and Hall effects are taken into account. It is found that for a flow at small magnetic Reynolds number past the surface which is stretched with a velocity proportional to the distance from a fixed point, velocity profiles are similar. For a fixed value of the Hall parameter m, components of velocity along and normal to the surface at a given point decrease with an increase in the magnetic parameter M. However for fixed values of m and M, the cross-flow velocity component induced by Hall currents reaches a maximum value at a certain height from the surface and the profiles for this velocity component shift towards the left with an increase in M. A novel result of the analysis is that for a fixed value of M, the primary velocity component remains positive for small values of the Hall parameter (m=<0.5) and becomes negative for m>0.5 indicating flow reversal. The region of this flow reversal increases with an increase in m. A similarity solution for temperature distribution in the above flow is also found and the rate of heat transfer at the stretching surface is computed for various values of m and M.
Rocznik
Strony
219--232
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
autor
  • Mathematics Department, Indian Institute of Technology Kharagpur 721302, INDIA
autor
  • Mathematics Department, Indian Institute of Technology Kharagpur 721302, INDIA
autor
  • Mathematics Department, Indian Institute of Technology Kharagpur 721302, INDIA
autor
  • School of Engineering, University of Manchester Manchester M129PL, UNITED KINGDOM
Bibliografia
  • [1] Andersson H.I. (1992): MHD flow of a viscoelastic fluid past a stretching surface. - Acta Mech., vol.95, pp.227-230.
  • [2] Andersson H.I., Bech K.H. and Dandapat B.S. (1992): Magnetohydrodynamic flow of a power-law fluid over a stretching surface. - Int. J. Nonlinear Mech., vol.27, pp.929-936.
  • [3] Chakrabarti A. and Gupta A.S. (1979): Hydromagnetic flow and heat transfer over a stretching sheet. - Q. Appl. Maths., vol.78, pp.73-78.
  • [4] Cowling T.G. (1957): Magnetohydrodynamic s. - New York: Interscience Publishers.
  • [5] Crane L.J. (1970): Flow past a stretching plate. - Z. Angew. Math. Phys., vol.21, pp.645-647.
  • [6] Dutta B.K., Roy P. and Gupta A. S. (1985): Temperature field in flow over a stretching surface with uniform heat flux. - Int. Comm. Heat Mass Trans., vol. 12, pp.89-94.
  • [7] Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction and blowing. - Canad. J. Chem. Eng., vol.55, pp.744-746.
  • [8] Kumari M., Takhar H.S. and Nath G. (1990): MHD flow and heat transfer over a stretching surface with prescribed wall temperature or heat flux. - Warme Stoff Übertragung., vol.25, pp.331-336.
  • [9] Pavlov K.B. (1974): Magnetohydrodynamic flow of an incompressible viscous fluid caused by deformation of a plane surface. - Magnitnaya Gidrodyn., vol.4, pp. 146-147.
  • [10] Sato H. (1961): The Hall effect in the viscous flow of ionized gas between parallel plates under transverse magnetic field. - J. Phys. Soc. Japan, vol.16, pp.1427-1433.
  • [11] Schlichting H. and Gersten K. (2000): Boundary Layer Theory. - Berlin: Springer-Verlag.
  • [12] Shercliff J.A. (1965): A Textbook of Magnetohydrodynamics. - Oxford: Pergamon Press.
  • [13] Sutton G.W. and Sherman A. (1965): Engineering Magnetohydrodynamics. - New York: McGraw-Hill.
  • [14] Varga R.S. (1962): Matrix Iterative Analysis. - New Jersey: Prentice Hall.
  • [15] Watanabe T. and Pop I. (1995): Hall effects on magnetohydrodynamic boundary layer flow over a continuous moving flat plate. - Acta Mech., vol. 108, pp.35-47.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0005-0005
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