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Rayleigh-Taylor instability of Walters' B' elastico-viscous fluid trough porous medium

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Języki publikacji
EN
Abstrakty
EN
Rayleigh-Taylor instability of Walters' B' elastico-viscous fluid through a porous medium is considered. For the stable configuration, the system is found to be stable or unstable if the kinematic viscoelasticity (assumed equal for both fluids) is less than or greater than the medium permeability divided by the medium porosity. However, the system is found to be unstable for the potentially unstable configuration. The effects of a uniform horizontal magnetic field and a uniform rotation on the problem are considered separately.
Rocznik
Strony
433--444
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
  • Department of Mathematics, Himachal Pradesh University Summer-Hill, Shimla - 171005, INDIA
autor
  • Department of Mathematics, Himachal Pradesh University Summer-Hill, Shimla - 171005, INDIA
autor
  • Department of Mathematics, Himachal Pradesh University Summer-Hill, Shimla - 171005, INDIA
Bibliografia
  • [1] Bhatia P.K. and Steiner J.M. (1972): Convective instability in a rotating viscoelastic fluid layer. - Z. Angew Math. Mech., vol.52, pp.321-324.
  • [2] Bhatia P.K. (1974): Rayleigh-Taylor instability of two viscous superposed conducting fluids. - Nuovo Cimento, vol.l9B, pp.161-168.
  • [3] Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publication.
  • [4] Garg A., Srivastava R.K. and Singh K.K. (1994): Drag on a sphere oscillating in conducting dusty Rivlin-Ericksen elastico-viscous liquid. - Proc. Nat. Acad. Sci. India, vol.64A, pp.355-361.
  • [5] Oldroyd J.G. (1958): Non-Newtonian effects in steady motion of some idealized plastlco-viscous liquids. - Proc. Roy. Soc. London, vol.A245, pp.278-297.
  • [6] Sharma P.R. and Kumar H. (1995): On the steady flow and heat transfer of viscous Incompressible non-Newtonian fluid through uniform circular pipe with small tui tion. - Proc. Nat. Acad. Sci. India, vol.65, pp.75-88.
  • [7] Sharma R.C. and Kumar P. (1997): On the stability of superposed Walters' B' Viscoelastic liquids. - Czech. J. Phys., vol.47, pp. 197-204.
  • [8] Sharma R.C. and Kumar P. (1998): Rayleigh-Taylor instability of two superposed i oniliHt in g Walters' B’ elastico-viscous fluids in hydromagnetics. - Proc. Nat. Acad, (y), India, vol.68A, pp.151-161.
  • [9] Sharma R.C. and Sharma K.C. (1978): Rayleigh-Taylor instability of two viscoelastic superposed fluids. - Acta Physics Hungarica, vol.45, pp.213-220.
  • [10] Sharma R.C. and Thakur K.P. (1982): Rayleigh-Taylor instability of a partially ionized medium in the presence of a variable horizontal magnetic field. - Nuovo Cimento, vol.71B, pp.218-226.
  • [11] Toms B.A. and Strawbridge D.J. (1953): Elastic and viscous properties of dilute solutions of polymethyl methacrylate in organic liquids. - Trans. Faraday Soc., vol.49, pp.125-128.
  • [12] Walters K. (1960): The motion of an elastico-viscous liquid contained between coaxial cylinders. - Quart. J. Mech. Appl. Math., vol. 13, pp.444-453.
  • [13] Walters K. (1962): The solution of flow problems in the case of materials with memory. - J. Mecanique, vol.l, pp.469-479.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0001-0020
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