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This paper deals with the theoretical investigation of the combined effect of magnetic field dependent (MFD) viscosity and rotation on ferrothermohaline convection in the presence of dust particles subjected to a transverse uniform magnetic field. For a flat fluid layer contained between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis method. The cases of stationary convection and oscillatory modes have been discussed. In this paper, an attempt is also made to obtain the sufficient conditions for the non-existence of overstability.
Rocznik
Tom
Strony
197--213
Opis fizyczny
Bibliogr. 22 poz., wykr.
Twórcy
autor
autor
autor
- Department of Applied Sciences National Institute of Technology (Deemed University) Hamirpur (H.P.)-I77 005, INDIA, sunil@recham.ernet.in
Bibliografia
- Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover Publications.
- Finlayson B.A. (1970): Convective instability of ferromagnetic fluids. - J. Fluid Mech., vol.40, No.4, pp.753-767.
- Qin Y. and Kaloni P.N. (1994): Nonlinear stability problem of a ferromagnetic fluid with surface tension effect. - Eur. J. Mech. B Fluids, vol.13, pp.305-321.
- Rosensweig R.E. (1985): Ferrohydrodynamics.- Cambridge: Cambridge University Press.
- Scanlon J.W. and Segel L.A. (1973): Some effects of suspended particles on the onset of Bénard convection. - Phys. Fluids, vol.16, pp.1573-1578.
- Schwab L., Hildebrandt U. and Stierstadt K. (1983): Magnetic Bénard convection. - J. Magn. Magn. Mater., vol.39, No.1-2, pp.113-114.
- Sharma R.C., Prakash K. and Dube S.N. (1976): Effect of suspended particles on the onset of Bénard convection in hydromagnetics. - Acta Physica Hungarica, vol.40, pp.3-10.
- Sharma R.C. and Sharma K.N. (1982): Thermal instability of fluids through a porous medium in the presence of suspended particles, rotation and solute gradient. - J. Math. Phys. Sci., vol.16, pp.167-181.
- Sharma R.C. and Sunil (1994): Thermal instability of Oldroydian viscoelastic fluid with suspended particles in hydromagnetics in porous medium. -Polymer(Plastics Technology and Engineering, vol.33, No.3, pp.323-339
- Siddheshwar P.G. (1995): Convective instability of ferromagnetic fluids bounded by fluid-permeable, magnetic boundaries. - J. Magn. Magn. Mater., vol.149, No.1-2, pp.148-150.
- Siddheshwar P.G. and Abraham A. (2003): Effect of time-periodic boundary temperatures/ body force on Rayleigh-Bénard convection in a ferromagnetic fluid. - Acta Mech., vol.161, pp.131-150.
- Stiles P.J. and Kagan M. (1990): Thermoconvective instability of a horizontal layer of ferrofluid in a strong vertical magnetic field. - J. Magn. Magn. Mater., vol.85, No.1-3, pp.196-198.
- Sunil, Divya, Sharma R.C. and Sharma V. (2003): Compressible couple-stress fluid permeated with suspended particles heated and soluted from below in a porous medium. - Indian Journal of Pure and Applied Physics, vol.41, No.8, pp.602-611.
- Sunil, Divya and Sharma R.C. (2004a): 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.
- Sunil, Sharma R.C. and Chandel R.S. (2004b): Effect of suspended particles on couple-stress fluid heated and soluted from below in porous medium. - J. Porous Medium, vol.7, No.1, pp.9-18.
- Sunil, Divya and Sharma R.C. (2005a): Effect of dust particles on thermal convection in ferromagnetic fluid saturating a porous medium. - J. Magn. Magn. Mater., vol.288, No.1, pp.183-195.
- Sunil, Bharti P.K., Divya and Sharma R.C. (2005b): The effect of rotation on thermosolutal convection in ferromagnetic fluid. - Int. J. Appl. Mech. Eng., vol.10, No.4, pp.713-730.
- Sunil, Anu Sharma and Sharma R.C. (2006): Effect of dust particles on ferrofluid fluid heated and soluted from below. - Int. J. Thermal Sciences, vol.45, No.4, pp.347-358.
- Vaidyanathan G., Sekar R. and Ramanathan A. (1997): Ferrothermohaline convection. - J. Magn. Mater., vol.176, pp.321-330.
- Vaidyanathan G., Sekar R., Hemalatha R., Vasanthakumari R. and Sendhilnathan S. (2005): Soret-driven ferro thermohaline convection. - J. Magn. Mater., vol.288, pp.460-469.
- Venkatasubramanian S. and Kaloni P.N. (1994): Effect of rotation on the thermoconvective instability of a horizontal layer of ferrofluids. - Int. J. Eng. Sci., vol.32, No.2, pp.237-256.
- Zebib A. (1996): Thermal convection in a magnetic fluid. - J. Fluid. Mech., vol.321, pp.121-136.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0028-0015