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Abstrakty
The paper analyses the Rayleigh-Taylor instability of a viscous compressible rotating fluid through a porous medium in a vertical magnetic field. It is shown that the system is characterized by a variational principle and by making use of it, a solution is obtained for a layer having exponential density along the vertical. The dispersion relation has been obtained by employing the normal mode technique and solved numerically. It is found that the kinematic viscosity, rotation and permeability of the porous medium have a stabilizing and compressibility has a destabilizing influence on the growth rate of the unstable mode of disturbance.
Rocznik
Tom
Strony
201--209
Opis fizyczny
Bibliogr. 18 poz., wykr.
Twórcy
autor
autor
autor
- Department of Mathematics and Statistics Jai Narain Vyas University, Jodhpur, INDIA, draiyubkhan@gmail.com
Bibliografia
- Ariel P.D. (1971): Rayleigh-Taylor instability of compressible fluid in the presence of vertical magnetic field. - Applied Sci. Research., vol.24, No.1, pp.294-304.
- Bear J. (1972): Dynamics of Fluids in Porous Media. - New York: American Elsevier.
- Bhatia P.K. (1974): Rayleigh-Taylor instability of a viscous compressible plasma of variable density. - Astrophysics and Space Sci., vol.26, No.2, pp.319-325.
- Bhatia P.K. and Adeniyan A. (1984): Stability of rotating compressible stratified plasma in the presence of Hall current and magnetic resistivity. - Beitage aus der Plasma Physikl, vol.24, No.3, pp.173-186.
- Chandrasekhar S. (1961): Hydrodynamic and Hydromegnetic Stability. - Oxford: Clarendon Press.
- Ingham D.B. and Pop I. (1998): Transport Phenomena in Porous Medium. - Oxford: Pergamon Press.
- Khan A. and Bhatia P.K. (2001): Stability of two superposed viscoelastic fluids in horizontal magnetic field. - Indian J. Pure Appl. Math., vol.32, No.1, pp.98-108.
- Khan A. and Bhatia P.K. (2003): Stability of a finitely conducting compressible fluid through porous medium. - Ganita Sandesh, vol.17, No.1, pp.35-42.
- Kumar P. and Lal R. (2005): Stability of two superposed visco-elastic fluids. - Thermal Science, vol.9, No.2, pp.87-95.
- MC. Donnel J.A.M. (1978): Cosmic Dust. - Toronto: John Wiley and Son.
- Nield D.A. and Bejan A. (2005): Convection in Porous Media. - New York: Springer Verlag.
- Phillips O.M. (1991): Flow and Reaction in Permeable Rocks. - Cambridge: University Press
- Rayleigh Lord (1883): Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. - Proc. London Math. Soc., vol.14, pp.170-177.
- Samaria N.K., Reddy M.U. and Prasad R. (1990): MHD flow of an elasto-viscous fluid past a porous plate. - Astrophys. Space Sci., vol.172, No.2, pp.231-234.
- Sharma R.C. and Kumar P. (1997): Thermal instability in Rivlin-Ericksen elastica-viscous fluid in hydromagnetics. - Z. Naturforsch., vol.52a, pp.369-371.
- Sunil, Sharma Divya and Sharma R.C. (2004): Effect of rotation on ferromagnetic fluid heated and soluted from below saturating a porous medium. - J. Geophys. Eng., vol.1, No.2, pp.116-127.
- Vafai K. (2005): Hand Book of Porous Media, Second edition. - New York: Taylor and Francis.
- Vaghela D.S. and Chhajlani R.K. (1988): Rayleigh-Taylor instability of magnetized partially ionized superposed fluids with rotation and surface tension in porous medium. - Astrophysics and Space Sci., vol.149, No.2, pp.301-312.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0040-0030