Czasopismo
2003
|
Vol. 8, no 3
|
449-459
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
The effect of radiative transfer on the onset of thermal convection in a ferromagnetic fluid layer bounded by two parallel plates and heated from below is considered using Goody's approach. The fluid between the plates absorbs and emits thermal radiation. The Milne-Eddington approximation is employed in obtaining the initial static state. Considering infinitesimal perturbations, the critical magnetic Rayleigh number is obtained using the Rayleigh-Ritz method. It is found that radiation inhibits the onset of convection in both the transparent and opaque media. Further, the opaque medium is shown to release heat for convection more slowly than the transparent medium. It is also found that radiation affects the cell size at the onset of convection in the case of transparent medium only. The results have implications in energy conversion devices and in smart material applications.
Rocznik
Tom
Strony
449-459
Opis fizyczny
Bibliogr. 25 poz., wykr.
Twórcy
autor
- Department of Mathematics, Bangalore University, Central College Campus Bangalore 560 001, INDIA, dsmanikandan@yahoo.com
Bibliografia
- [1] Abraham A. (2002): Rayleigh-Benard convection in a micropolar ferromagnetic fluid. - Int. J. Engng. Sci., vol.40, pp.449-460.
- [2] Arpaci V.S. and Gozum D. (1973): Thermal stability of radiating fluids: The Benard problem. - Phys. Fluids, vol.l6, pp.581-589.
- [3] Auemhammer G.K. and Brand H.R. (2000): Thermal convection in a rotating layer of a magnetic fluid. - Euro. Phys. J. B, vol.l6, pp.157-169.
- [4] Berkovskii B.M., Medvedev V.F. and Krakov M.S. (1993): Magnetic Fluids - Engineering Applications. - Oxford: Oxford Science Publications.
- [5] Christophorides C. and Davis S.H. (1970): Thermal instability with radiative transfer. - Phys. Fluids., vol.l3, pp.222-226.
- [6] El-Hakiem M.A. and El-Amin M.F. (2001): Thermal radiation effect on non-Darcy natural convection with lateral mass transfer. - Heat and Mass Trans., vol.37, pp. 161-165.
- [7] Finlayson B.A. (1970): Convective instability of ferromagnetic fluids. - J. Fluid Mech., vol.40, pp.753-767.
- [8] Goody R.M. (1956): The influence of radiative transfer on cellular convection. - J. Fluid Mech., vol.l, pp.424-435.
- [9] Howell J.R. and Menguc M.P. (1998): Handbook of Heat Transfer Fundamentals. - New York: McGraw-Hill.
- [10] Kourganoff V. (1952): Basic Methods in Transfer Problems. - Oxford: Oxford Univ. Press.
- [11] Larson V.E. (2001): The effects of thermal radiation on dry convective instability. - Dyn. Atmos. Oceans, vol.34, pp.45-71.
- [12] Martin A.R., Salitel C., Chai J. and Shyy W. (1998): Convective and radiative internal heat transfer augmentation with fiber arrays. - Int. J. Heat Mass Trans., vol.41, pp.3431-3440.
- [13] Modest M.F. (1993): Radiative Heat Transfer. - New York: McGraw-Hill.
- [14] Murgai M.P. and Khosla P.K. (1962): A study of the combined effect of thermal radiative transfer and a magnetic field on the gravitational convection of an ionized fluid. - J. Fluid Mech., vol.l4, pp.433-451.
- [15] Platten J.K. and Legros J.C. (1984): Convection in Liquids. - Berlin: Springer Verlag.
- [16] Rosensweig R.E. (1986): Ferrohydrodynamics. - Cambridge: Cambridge Univ. Press.
- [17] Siddheshwar P.G. (1995): Convective instability of ferromagnetic fluids bounded by fluid permeable, magnetic boundaries. - J.M.M.M., vol.l49, pp. 148-153.
- [18] Siddheshwar P.G. (2003): The influence of radiative transfer on convection under conditions. - Phys. Fluids, (submitted).
- [19] Siddheshwar P.G. and Pranesh S. (1998): Effect of non uniform basie temperature gradient on Rayleigh-Benard convection in a micropolar fluid. - Int. J. Engng. Sci., vol.36, pp. 1183-1196.
- [20] Siddheshwar P.G. and Pranesh S. (2000): Effect of temperature/gravity modulation on the onset of magnetoconvection in electrically conducting fluids with internal angular momentum. - J.M.M.M., vol.219, pp.L153-L162.
- [21] Siddheshwar P.G. and Srikrishna C.V. (2002): Unsteady non-linear convection in a second order fluid. - Int. J. Nonlin. Mech., vol.37,pp.321-330.
- [22] Siegel R. and Howell J. R. (1992): Thermal Radiation Heat Transfer. - Washington: Taylor and Francis.
- [23] Spiegel E.A. (1960): The convective instability of a radiating fluid layer. - Astrophys. J., vol.l32, pp.716-728.
- [24] Yan W.-M. and Li H.-Y. (2001): Radiation effects on mixed convection heat transfer in a vertical square duet. - Int. J. Heat and Mass Trans., vol.44, pp. 1401-1410.
- [25] Yang W.M. (1990): Thermal instability of a fluid layer induced by radiation. - Numer. Heat Trans., vol.l7, pp.365-376.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ2-0003-0021