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Abstrakty
The thermosolutal convection in ferromagnetic fluid is considered for a fluid layer heated and soluted from below in the presence of uniform vertical magnetic field. For the case of two free boundaries, an exact solution is obtained using a linear stability analysis. For the case of stationary convection, magnetization has a destabilizing effect, whereas stable solute gradient has a stabilizing effect on the onset of instability. Graphs have been plotted by giving numerical values to various parameters, to depict the stability characteristics. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid heated from below in porous medium in the absence of stable solute gradient. The oscillatory modes are introduced due to the presence of the stable solute gradient, which were non-existent in its absence. A sufficient condition for non-existence of the overstability is also obtained.
Czasopismo
Rocznik
Tom
Strony
117--135
Opis fizyczny
Bibliogr. 20 poz.
Twórcy
autor
- Department of Applied Sciences, National Institute of Technology (Deemed University) Hamirpur, (H.P.)–177 005, India
autor
- Department of Applied Sciences, National Institute of Technology (Deemed University) Hamirpur, (H.P.)–177 005, India
autor
- Department of Mathematics, Himachal Pradesh University, Summer Hill Shimla–171 005, India
Bibliografia
- 1. R. Moskowitz, Dynamic sealing with magnetic fluids, ASLE Trans., 18, 2, 135–143, 1975.
- 2. R. E. Rosensweig, Advances in electronics and electron physics, 48L, p. 103, Marton [Ed.], Academic Press, New York 1979.
- 3. D. B. Hathaway, Use of ferrofluid in moving coil loudspeakers, dB-Sound Eng. Mag., 13, 42–44, 1979.
- 4. Y. Morimoto, M. Akimoto and Y. Yotsumoto, Dispersion state of protein – stabilized magnetic emulsions, Chem. Pharm. Bull., 30, 3024–3027, 1982.
- 5. R. L. Bailey, Lesser known applications of ferrofluids, J. Magn. Magn. Mater., 39, 178–182, 1983.
- 6. S. Odenbach, Magnetoviscous effects in ferrofluids, Springer-Verlag, Berlin, Heidelberg 2002.
- 7. R. E. Rosensweig, Ferrohydrodynamics, Cambridge University Press, Cambridge 1985.
- 8. S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, Oxford University Press, London 1981.
- 9. B. A. Finlayson, Convective instability of ferromagnetic fluids, J. Fluid Mech., 40, 753–767, 1970.
- 10. D. P. Lalas and S. Carmi, Thermoconvective stability of ferrofluids, Phys. Fluids, 14, 436–437, 1971.
- 11. M. I. Shliomis, Magnetic fluids, Soviet Phys. Uspekhi (Engl. transl.), 17, 153–169, 1974.
- 12. R. Sekar, G. Vaidyanathan and A. Ramanathan, The ferroconvection in fluids saturating a rotating densely packed porous medium, Int. J. Eng. Sci., 31, 241–250, 1993.
- 13. R. Sekar, and G. Vaidyanathan, Convective instability of a magnetized ferrofluid in a rotating porous medium, Int. J. Eng. Sci., 31, 1139–1150, 1993.
- 14. M. D. Gupta and A. S. Gupta, Convective instability of a layer of a ferromagnetic fluid rotating about a vertical axis, Int. J. Eng. Sci., 17, 271–277, 1979.
- 15. R. C. Sharma, Sunil and Suresh Chand, Thermosolutal instability of Walter’ rotating fluid (model B′) in porous medium, Arch. Mech., 51, 2, 181–191, 1999.
- 16. Sunil, R. C. Sharma and M. Pal, Hall effect on thermosolutal instability of Walter’s fluid (model B′) in porous medium, Arch. Mech., 53, 6, 677–690, 2001.
- 17. G. Vaidyanathan, R. Sekar and A. Ramanathan, Ferrothermohaline convection, J. Magn. Magn. Mater., 176, 321–330, 1997.
- 18. P. Penfield and H. A. Haus, Electrodynamics of moving media, M.I.T. Press, Cambridge, Massachusetts 1967.
- 19. G. Vaidyanathan, R. Sekar and R. Subramaniam, Ferroconvective instability of fluids saturating a porous medium, Int. J. Engng. Sci., 29, 1259–1267, 1991.
- 20. G. Veronis, On finite amplitude instability in thermohaline convection, J. Marine Res., 23, 1–17, 1965.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0004-0007