Czasopismo
2012
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Vol. 17, no. 1
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71-82
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The thermosolutal instability of a layer of a Rivlin-Ericksen elastico-viscous fluid is considered in the presence of a uniform horizontal magnetic field to include the Hall currents in a porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, medium permeability also postpones the onset of convection in the presence of the Hall currents, whereas the kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field, medium permeability and the solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained.
Rocznik
Tom
Strony
71-82
Opis fizyczny
Bibliogr. 14 poz.
Twórcy
autor
autor
- Department of Mathematics, Govt. College, Haripur (Manali) Himachal Pradesh - 175136, INDIA, drsanjaykanungo@in.com
Bibliografia
- Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. − New York: Dover Publication.
- Gupta A.S. (1967): Hall effect on thermal instability of a horizontal layer of a conducting fluid. − Rev. Roumaine Math Pure. Appl., vol.12, pp.665-677.
- Joseph D.D. (1976): Stability of Fluid Motions II. − New York: Springer-Verlag.
- Lister C.R.B. (1972): On thermal-balance of a mid-ocean ridge. − Geophys. J. Roy. Astr. Soc., vol.26, pp.515-535.
- Mc.Donnel J.A.M. (1978): Cosmic dust. − New York: J. Whiley and Sons, pp.330-338.
- Rivlin R.S. and Ericksen J.L. (1955): Stress-deformation relations for isotropic materials. − J. Rational Mech. Anal., vol.4, pp.323-329.
- Sato H. (1961): The Hall effects in the viscous flow of ionized gas between parallel plates under transverse magnetic field. − Phys. Soc. Japan, vol.16, pp.1427-1433.
- Sharma R.C. and Kango S.K. (1999): Thermal convection in Rivlin-Ericksen elastico-viscous fluid in porous medium in hydromagnetics. − Czech. J. Phys., vol.49, No.2, pp.197-203.
- Sharma R.C. and Sunil (1996): Thermal instability of compressible finite−Larmor− radius Hall plasma in a porous medium. − J. Plasma Phys., vol.55, No.1, pp.35-45.
- Sharma R.C., Sunil S. and Chand S. (2000): Hall effect on thermal instability of Rivlin-Ericksen fluid. − Indian J. Pure Appl. Math., vol.31, No.1, pp.49-59.
- Sherman A. and Sutton G.W. (1962): Magnetohydrodynamics. − Northwestern University, Press, Evanston, Illinois.
- Spiegel E.A. (1965): Convective instability in a compressible atmosphere. − Astrophys. J. vol.141, pp.1068-1090.
- Srivastava R.K. and Singh K.K. (1988): Unsteady flow of a dusty elastico-viscous Rivlin-Ericksen fluid through channels of different cross-sections in the presence of time-dependent pressure gradient. − Bull. Cal. Math. Soc., vol.80, pp.286.
- Tani I. (1962): Steady flow of conducting fluids in channels under transverse magnetic consideration of Hall effects. − J. Aerospace Sci. vol.29, pp.297-305.
Typ dokumentu
Bibliografia
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