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Stability of superposed viscous - viscoelastic (couple-stress) fluids in the presence of variable magnetic field through porous medium

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Języki publikacji
EN
Abstrakty
EN
The Rayleigh-Taylor instability of a Newtonian viscous fluid overlying a couple-stress viscoelastic fluid through a porous medium is considered in the presence of a variable horizontal magnetic field. The stability analysis is carried out, for mathematical simplicity, for two highly viscous fluids of equal kinematic viscosities. For the stable configuration, the system is found to be stable or unstable under certain conditions. However, for the unstable configuration, the magnetic field has got stabilizing effects.
Rocznik
Strony
837--845
Opis fizyczny
Bibliogr. 12 poz.
Twórcy
autor
autor
  • Department of Mathematics, I.C.D.E.O.L Himachal Pradesh University Summer Hill, Shimla-171005, INDIA, drpardeep@sancharnet.in
Bibliografia
  • Bhatia P.K. (1974): Nuov. Cim. B19, 161.
  • Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publications.
  • Drazin P.G. and Reid W.H. (1981): Hydrodynamic Stability. - Cambridge: Univ. Press.
  • Ingham D.B. and Pop I. (1998): Transport Phenomena in Porous Medium. - Oxford: Pergamon.
  • Joseph D.D. (1976): Stability of Fluid Motions II. - New York: Springer-Verlag.
  • Kent A. (1966): Instability of laminar flow in a magnetic field. - Phys. Fluids, vol.9, 1286.
  • Nield D.A. and Bejan A. (1999): Convection in Porous Medium (2nd Edition). - New York: Springer.
  • Phillips O.M. (1991): Flow and Reaction in Permeable Rocks. - Cambridge: Cambridge University Press.
  • Sharma R.C. and Sharma S. (2001): On couple-stress fluid heated from below in porous medium. - Ind. J. Phys., 75B, 137.
  • Sharma R.C. and Sharma S. (2001): On electrically conducting couple-stress fluid heated from below in porous medium in presence of uniform horizontal magnetic field. - Int. J. Appl. Mech. Eng., vol.6, 251.
  • Stokes V.K. (1966): Couple-stresses in fluids. - Phys. Fluids, vol.9, 1709.
  • Walicki E. and Walicka A. (1999): Inertia effect in the squeeze film of a couple-stress fluid in biological bearings. - Int. J. Appl. Mech. Eng., vol.4, 363.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0037-0036
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