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The thermosolutal instability in a layer of an electrically conducting Oldroydian viscoelastic fluid in a porous medium is studied to include the effect of Hall current. For the case of stationary convection, the Oldroydian fluid behaves like an ordinary Newtonian fluid. The magnetic field and the stable solute gradient are found to have stabilizing effects whereas Hall currents and medium permeability are found to have destabilizing effects on the system. Graphs are plotted by giving numerical values to the parameters to depict the stability characteristics. The sufficient conditions for the non-existence of overstability are also obtained.
Rocznik
Tom
Strony
69--82
Opis fizyczny
Bibliogr. 14 poz., wykr.
Twórcy
autor
- Department of Mathematics Govt Post Graduate College Seema Himachal Pradesh University Shimla-171207, INDIA, mahinder_singh91@Rediffmail.in
Bibliografia
- Bhatia P.K. and Steiner J.M. (1972): Convection instability in a rotating viscoelastic fluid layer. - Z. Angew. Math. Mech., vol.52, pp.321-327.
- Bhatia P.K. and Steiner J.M. (1973): Thermal instability of a viscoelastic fluid layer in hydromagnetics.p - J.Math. Anal. Appl., vol. 41, pp.271-283.
- Bhatia P.K. and Mathur R.P. (2003): Instability of viscoelastic superposed fluids in a vertical magnetic field through porous medium. - Ganita Sandesh, vol.17, No.2, pp.21-32.
- Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publications.
- Gupta A.S. (1967): Rev. Roumaine Math. Pures Appl, vol.12, pp.665-677.
- Joseph D.D. (1976): Stability of Fluid Motions II. - New York: Springer Verlag.
- Kumar P., Mohan H. and Singh G. (2004): Rayleigh-Taylor instability of rotating Oldroydian visco-elastic fluids in porous medium in presence of a variable magnetic field. - Transport in Porous Media. vol.56, No.2, pp.199-208.
- Oberoi C. and Devanathan C. (1963): Proc. Summer Seminar in Magnetohydrodynamics. - Bangalore: Indian Institute of Science.
- Herman A. and Sutton G.W. (1962): Magnetohydrodynamics. - North-Illinois: Western University Press, Evanston.
- Sharma R.C. (1976): Effect of rotation on thermal instability of a viscoelastic fluid. Acta Phys. Hung., vol.40, pp.11-17.
- Sharma R.C. and Kumar P. (1996): Effect of rotation on thermal instability in Rivlin - Erickson elastico-viscous fluid. - Z.Naturforsch., vol.51a, pp.821-824.
- Sharma R.C. and Sunil (1994): Thermal instability of Oldroydian visco-elastic fluid with suspended particles in hydromagnetic in porous medium. - Polym-Plast. Technol. Eng., vol.33, No.3, pp.323-339.
- 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.1225-1232.
- Veronis G. (1965): On finite amplitude instability in thermohaline convection. - J. Marine Res., vol.23, pp.1-17.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BPZ5-0015-0027