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The instability of streaming Walters B' viscoelastic fluids in hydromagnetics through porous media

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Języki publikacji
EN
Abstrakty
EN
The instability of streaming Walters B' elastico-viscous fluids in hydromagnetics through porous medium is considered. The case of two uniform streaming fluids separated by a common horizontal interface is considered. It is found that for the special case when perturbations in the direction of streaming are ignored, the system can be stable or unstable, depending upon kinematic viscoelasticity, medium porosity and medium permeability, for both potentially unstable and stable configurations. In all other directions, a minimum value of wave-number has been found and the system is unstable for all wave-numbers greater than this minimum wave number and the instability of the system is found to be postponed due to the presence of the magnetic field.
Rocznik
Strony
123--131
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Department of Mathematics, ICDEOL, Himachal Pradesh University Summer Hill, Shimla-171005, INDIA
autor
  • Department of Mathematics, ICDEOL, Himachal Pradesh University Summer Hill, Shimla-171005, INDIA
Bibliografia
  • [1] Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publication.
  • [2] Francis J.R.D. (1954): Wave motions and the aerodynamic drag on a free oil surface. - Philos. Mag. Ser., vo1.45, pp.695-702.
  • [3] McDonnel J.A.M. (1978): Cosmic Dust. - John Wiley and Sons, p.330.
  • [4] Oldroyd J.G. (1958): Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids. - Proc. Roy. Soc. London, vol.A245, pp.278-297.
  • [5] Phillips O.M. (1991): Flow and Reaction in Permeable Rocks. - Cambridge: Cambridge University Press.
  • [6] Sharma R.C. and Kumar P. (1997): On the stability of two superposed Walters' elastico-viscous liquid B'. - Czech. J Phys., vo1.47, pp.197-204.
  • [7] Sharma R.C. and Kumar P. (1998): Rayleigh-Taylor instability of two superposed conducting Walters B' elastico-viscous fluids in in hydromagnetics. - Proc. Nat. Acad. Sci. India, vo1.68A, pp.151-161.
  • [8] Sharma R.C. and Sharma K.C. (1977): On the Kelvin-Helmholtz instability in hydromagnetics through porous medium. - METU J. Pure Appl. Sciences, vol.l0, pp.283-289.
  • [9] Sharma R.C. and Sharma K.C. (1978): Rayleigh-Taylor instability of two viscoelastic superposed fluids. - Acta Phys. Hung., vo1.45, pp.213-220.
  • [10] Sharma R.C. and Sharma N.D. (1992): The instability of streaming fluids with fine dust in porous medium. - Czech. J Phys., vo1.42, pp.907-918.
  • [11] Sharma R.C. and Spanos TJ.T. (1982): The instability of streaming fluids in a porous medium. - Canadian J. Phys., vo1.60, pp.1391-1395.
  • [12] Sharma R.C. and Srivastava K.M. (1968): Effect of horizontal and vertical magnetic fields on Rayleigh-Taylor instability. - Aust. J. Phys., vo1.21, pp.923-929.
  • [13] Sharma R.C., Sunil and Chand Suresh (1999): The instability of streaming Walters' viscoelastic fluid B' in porous medium. - Czech. J. Phys., vo1.49, pp.189-196.
  • [14] Toms B.A. and Strawbridge DJ. (1953): Elastic and viscous properties of dilute solutions of polymethyl methacrylate in organic liquids. - Trans. Faraday, vo1.49, pp.1225-1232.
  • [15] Walters K. (1960): The motion of elastico-viscous liquid contained between coaxial cylinders. - Quart. J Mech. Appl. Math., vo1.l3, pp.444-453.
  • [16] Walters K. (1962): The solution of flow problems in case of materials with memory. - Quart. J Mecanique, vol.l, pp.469-479.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0013-0047
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