Czasopismo
2008
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Vol. 13, no 4
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1059-1078
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
This paper deals with the theoretical investigation of the effect of rotation in a magnetized ferrofluid with internal angular momentum, heated and soluted from below saturating a porous medium and subjected to a transverse uniform magnetic field. For a flat fluid layer contained between two free boundaries, an exact solution is obtained. A linear stability analysis theory and normal mode analysis method have been employed to study the onset of convection. The influence of various parameters on the onset of stationary convection such as rotation, medium permeability, solute gradient, magnetization and internal angular momentum parameters (i.e., coupling parameter, spin diffusion parameter and heat conduction parameter) has been analyzed. The critical magnetic thermal Rayleigh number for the onset of instability is also determined numerically for sufficiently large values of buoyancy magnetization parameter and results are depicted graphically. The principle of exchange of stabilities is found to hold true for the ferrofluid with internal angular momentum saturating a porous medium heated from below in the absence of rotation, coupling between vorticity and spin, microinertia and solute gradient. The oscillatory modes are introduced due to the presence of the rotation, coupling between vorticity and spin, microinertia and solute gradient, which were non-existent in their absence. In this paper, an attempt is also made to obtain the sufficient conditions for the non-existence of overstability.
Rocznik
Tom
Strony
1059-1078
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
autor
autor
- Department of Applied Sciences, National Institute of Technology Hamirpur, H.P. -177 005, INDIA, sunil@nitham.ac.in
Bibliografia
- Abraham A. (2002): Rayleigh-Bénard convection in a micropolar ferromagnetic fluid. - Int. J. Eng. Sci., vol.40, pp.449-460.
- Chandrasekhar S. (1981): Hydrodynamic and Hydromagnetic Stability. - New York: Dover.
- Finlayson B.A. (1970): Convective instability of ferromagnetic fluids. - J. Fluid Mech., vol.40, pp.753-767.
- Kaloni P.N. and Lou J.X. (2004): Convective instability of magnetic fluids. - Physical Review E, vol.70, pp.026313.
- Lalas D.P. and Carmi S. (1971): Thermoconvective stability of ferrofluids. - Phys. Fluids, vol.14, 436-437.
- Nield D.A. and Bejan A. (2006): Convection in Porous Media. - New York: Springer.
- Rosensweig R.E. (1985): Ferrohydrodynamics. - Cambridge University Press: Cambridge.
- Rosensweig R.E. (1987): Magnetic fluids. - Rev. Fluid Mech., vol.19, pp.437-463.
- Rosensweig R.E. (2004): Continuum equations for magnetic and dielectric fluids with internal rotations. - J. Chem. Phys., vol.121, pp.1228-1242.
- Shliomis M.I. (1972): Effective viscosity of magnetic suspensions. - Sov. Phys. JETP, vol.34, pp.1291-1294.
- Shliomis M.I. (1974): Magnetic fluids. - Sov. Phys. Usp., vol.17, pp.153-169.
- 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, pp.196(198.
- Sunil, Divya and Sharma R.C. (2004): Effect of rotation on ferromagnetic fluid heated and soluted from below saturating a porous medium. - J. Geophys. Eng., vol.1, pp.116-127.
- Sunil, Divya and Sharma V. (2005a): Effect of dust particles on rotating ferromagnetic fluid heated from below saturating a porous medium. - J. Coll. Inter. Sci., vol.291, pp.152-161.
- Sunil, Divya and Sharma R.C. (2005b): Thermosolutal convection in a ferromagnetic fluid saturating a porous medium. - Journal of Porous Media, vol.8, pp.393-408.
- Sunil, Sharma A., Bharti P.K. and Shandil R.G. (2006a): Marginal stability of micropolar ferromagnetic fluid saturating a porous medium. - J. Geophys. Eng., vol.3, pp.338-347.
- Sunil, Sharma A., Bharti P.K. and Shandil R.G. (2006b): Effect of rotation on a layer of micropolar ferromagnetic fluid heated from below saturating a porous medium. - Int. J. Eng. Sci., vol.44, pp.683-698.
- Sunil, Chand P. and Bharti P.K. (2007a): Double-diffusive convection in a micropolar ferromagnetic fluid. - Appl. Math. Comp., vol.189, pp.1648-1661.
- Sunil, Sharma A., Bharti P.K. and Shandil R.G. (2007b): Linear stability of double-diffusive convection in a micropolar ferromagnetic fluid saturating a porous medium. - Int. J. Mech. Sci., vol.49, pp.1047-1059.
- Sunil, Chand P., Bharti P.K. and Mahajan A. (2008): Thermal convection in micropolar ferrofluid in the presence of rotation. - J. Magn. Magn. Mater., vol.320, pp.316-324.
- Venkatasubramanian S. and Kaloni P.N. (1994): Effects of rotation on the thermoconvective instability of a horizontal layer of ferrofluids. - Int. J. Eng. Sci., vol.32, pp.237-256.
Typ dokumentu
Bibliografia
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