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Hydrodynamic and hydromagnetic stability of two superposed elastico – viscous fluids of different permeability with dust in porous medium

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Języki publikacji
EN
Abstrakty
EN
Rayleigh-Taylor instability of two superposed Walters’ B has elastico-viscous fluids in a uniform magnetic field through a porous medium with different permeability been studied to include the suspended (dust) particles effect. Using normal mode technique a dispersion relation has been derived. The stability analysis has been carried out. The magnetic field stabilizes the unstable configuration for the wave number band K > K* in chich the system is unstable in the absence of the magnetic field. It is also found that for a potential stable arrangement for Walters B’ elastico-viscous fluids of different permeabilities in the presence of suspended particles through a porous medium the system is stable, whereas in the potentially unstable case instability of the system occurs.
Rocznik
Strony
407--416
Opis fizyczny
Bibliogr. 13 poz., wykr.
Twórcy
autor
  • Department of Mathematics Govt. Post Graduate College Seema (Rohru), Distt Shimla (H.P) -171207, INDIA
autor
  • Department of Mathematics, Centre for Excellence Govt. Degree College Sanjauli, Distt Shimla (H.P) -171006, INDIA
Bibliografia
  • [1] Bhatia P.K. (1974): Rayleigh-Taylor instability of two viscous superposed conducting fluids. – Nuovo Cimento, 19 B pp.161-168.
  • [2] Chandra K. (1938): Instability of fluid heated from below. – Proc. Roy. Soc. (Lon.), 164A, pp.231-242.
  • [3] Kent A. (1966): Instability of laminar flow of a magneto-fluid. – Phys. Fluids., vol.9, pp.1286-1289.
  • [4] Kumar P., Lal R. and Singh G.J. (2006): MHD instability of rotating superposed Walter’s B’ viscoelastic fluids through a porous medium. – Journal of Porous Media, vol.9, No.5, pp.463-468.
  • [5] Kumar P. and Singh M. (2007): instability of two rotating viscoelastic (Walter’s B’) superposed fluids with suspended particles in porous medium. – Thermal Science, vol.11, No.1, pp.93-102.
  • [6] Scanlon J.W. and Segel L.A. (1973): Some effects of suspended particles on the onset of Bénard convection. – Phys. Fluids., vol.16, pp.1573-1578.
  • [7] Sharma R.C. (1976): Effect of rotation on thermal instability of a viscoelastic fluid. – Acta Physica Hungarica, vol.40, pp.11-17.
  • [8] Sharma R.C. and Kumar P. (1997): Hydromagnetic stability of two Rivlin-Ericksen elastico-viscous superposed conducting fluids. – Z. Naturforsch., vol.52a, pp.528-532.
  • [9] Sharma R.C., Kumar P. and Sharma S. (2002): Rayleigh-Taylor instability of Walter’s B’ elastico – viscous fluid through porous medium. – Int. J. of Applied Mechanics Engineering, vol.7, No.2, pp.433-444.
  • [10] Sharma R.C. and Sharma K.C. (1977): Rayleigh-Taylor instability of two superposed conducting fluids in the presence of suspended particles. – Acta Physica Hungarica, vol.43, pp.251-258.
  • [11] Singh M. and Kumar P. (2011): Hydrodynamic and hydromagnetic stability of two stratified Walter’s B’ elastico – viscous superposed fluids. – Int. J. of Applied Mechanics and Engineering, vol.16, No.1, pp.233-241.
  • [12] Sunil, Gupta U. and Sharma V. (2006): Stability of stratified elastico – viscous Walter’s (model B’) fluid in the presence of horizontal magnetic field and rotation in porous medium. – Arch. Mech., vol.58, No.1, pp.187-197.
  • [13] Walters K. (1962): Non-Newtonian effects in some elastico-viscous liquids whose behaviour at small rates of shear is characterized by a general linear equation of state. – Quart. J. Mech. Applied Math., vol.15, No.1, pp.63-76.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7a5af284-8731-4e19-83cc-51f644b93b07
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