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Abstrakty
The thermal instability of compressible Walters B' viscoelastic fluid in porous medium is considered to include the effects of Hall currents and suspended particles. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, Hall currents and suspended particles are found to have destabilizing effects whereas compressibility and magnetic field have stabilizing effects on the system. The medium permeability, however, has stabilizing and destabilizing effects on thermal instability in contrast to its destabilizing effect in the absence of magnetic field. The magnetic field, Hall currents and viscoelasticity parameter are found to introduce oscillatory modes in the system.
Wydawca
Czasopismo
Rocznik
Tom
Strony
25--38
Opis fizyczny
Bibliogr. 24 poz.
Twórcy
autor
- Department of Mathematics, ICDEOL, Himachal Pradesh University, Shimla-171005, India., pkdureja@gmail.com
Bibliografia
- [1] CHANDRASEKHAR S., Hydrodynamic and Hydromagnetic Stability, Dover Publications, New York 1981.
- [2] SHERMAN A., SUTTON G. W., Magnetohydrodynamics, Northwestern University Press, Evanston, Illinois 1962.
- [3] GUPTA A.S., Rev. Rumaine Math. Pure Appl., 1967, 12, 665.
- [4] SPIEGEL E.A., VERONIS’ G., Astrophys. J., 1960, 131, 442.
- [5] SCANLON J.W., SEGEL L.A., Phys. Fluids, 1973, 16, 1573.
- [6] PALANISWAMY V.I., PURUSHOTHAM C.M , Phys. Fluids, 1981, 24, 1224.
- [7] BHATIA P.K., STEINER J.M., Z. Angew. Math. Mech., 1972, 52, 321.
- [8] SHARMA R.C., Acta Physica Hung., 1976, 40, 11.
- [9] WALTERS K., Quart. J. Mech. Appl. Math., 1960, 13, 444.
- [10] WALTERS K., J. Me′canique, 1962, 1, 469.
- [11] CHAKRABORTY G., SENGUPTA P.R., Proc. Nat. Acad. Sci. India, 1994, 64, 75.
- [12] SHARMA R.C., KUMAR P., Czech. J. Phys., 1997, 47, 197.
- [13] SHARMA R.C., KUMAR P., Proc. Nat. Acad. Sci. India, 1998, 68, 151.
- [14] KUMAR P., Proc. Nat. Acad. Sci. India, 2001, 71, 33.
- [15] KUMAR P., MOHAN H., SINGH G.J., Z. Angew. Math. Mech., 2006, 86, 72.
- [16] PHILLIPS O.M., Flow and Reaction in Permeable Rocks, Cambridge University Press, Cambridge, UK 1991.
- [17] INGHAM D.B., POP I., Transport Phenomena in Porous Medium, Pergamon Press, Oxford, UK 1998.
- [18] NIELD D.A., BEJAN A., Convection in Porous Medium (2nd edition), Springer Verlag, New York, USA 1999.
- [19] LAPWOOD E.R., Proc. Camb. Phil. Soc., 1948, 44, 508.
- [20] WOODING R.A., J. Fluid Mech., 1960, 9, 183.
- [21] KUMAR P., Indian J. Pure Appl. Math., 1999, 30, 1117.
- [22] KUMAR P., SINGH G.J., LAL R., Thermal Sci., 2004, 8, 51.
- [23] KUMAR P., SINGH M., Thermal Sci., 2007, 11, 93.
- [24] SPIEGEL E.A., Astrophys. J., 1965, 141, 1068.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPW8-0020-0017