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Abstrakty
The solutal analog of the Rayleigh-Benard convection in a reactive micropolar fluid is studied numerically using the Rayleigh-Ritz method. The solute concentration is assumed to disappear at a rate which is linearly proportional to the concentration. It is observed that the critical solutal Rayleigh number for this fluid system with homogeneous kinetics is greater than that of a non-reactive fluid system. The results have possible industrial applications.
Rocznik
Tom
Strony
513--525
Opis fizyczny
Bibliogr. 20 poz., wykr.
Twórcy
autor
- UGC-DSA Centre in Fluid Mechanics Department of Mathematics, Bangalore University Central College Campus Bangalore 560 001, INDIA
autor
- Universite de Valenciennes I.U.T. - G.M.P., Le Mont Houy - 59313 Valenciennes Cedex 9, FRANCE
Bibliografia
- [1] Brand H.R. and Steinberg V. (1983a): Convectmies in binary mixtures in a porous medium. - Physica, vol.l 19A, pp.327-338.
- [2] Brand H.R. and Steinberg V. (1983b): Nonlinear effects in the convective instability of a binary mixture in a porous medium near threshold. - Phys. Letts., vol.93A, No.7, pp.333-336.
- [3] Chandrasekhar S. (1961): Hydrodynamic and Hydromagnetic Stability. - New York: Dover.
- [4] Farr W.W., Gabbito J.F., Luss D. and Balakotaiah V. (1991): Reaction-driven convection in a porous medium. - AIChE J., vol.37, No.7, pp.963-969.
- [5] Gatica J.E., Viljoen H. and Hlavacek V. (1987): Stability analysis of chemical reaction and free convection in porous media. - Int. Comm. Heat Mass Trans., vol. 14, pp.391-403.
- [6] Kolesnikov A.K. (1978): Convective instability of equilibrium of a chemically active liquid in a horizontal bed of a porous medium. - J. Appl. Mech. Tech. Phys., vol. 19, pp. 114-117.
- [7] Kolesnikov A.K. (1979): Concentration-dependent convection in a horizontal porous bed containing a chemically active liquid. - J. Engng. Phys., vol.36, pp.97-101.
- [8] Malashetty M.S., Cheng P. and Chao B.H. (1994): Convective instability in a horizontal porous layer saturated with a chemically reacting fluid. - Int. J. Heat Mass Trans., vol.37, No. 18, pp.2901-2908.
- [9] Platten J.K. and Legros J.C. (1984): Convection in Liquids. - Berlin: Springer Verlag.
- [10] Rudraiah N. and Siddheshwar P.G. (2000): Effect of non-uniform basic temperature gradient on the onset of Marangoni convection in a fluid with suspended particles. - J. Aerospace Sci. and Tech., vol.4, No.8, pp.517-523.
- [11] Siddheshwar P.G. and Pranesh S. (1998a): Magnetoconvection in a micropolar fluid. - Int. J. Engng. Sci., vol.36, pp. 1173-1181.
- [12] Siddheshwar P.G. and Pranesh S. (1998b): Effect of a non-uniform basic temperature gradient on Rayleigh-Benard convection in a micropolar fluid. - Int. J. Engng. Sci., vol.36, pp.1183-1196.
- [13] Siddheshwar P.G. and Pranesh S. (1999): Effect of temperature/gravity modulation on the onset of magnetoconvection in weak electrically conducting fluids with internal angular momentum. - J. Mag. and Mag. Matls., vol. 192, pp. 159-176.
- [14] 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. Mag. and Mag. Matls., vol.219, pp.L153-L162.
- [15] Siddheshwar P.G. and Pranesh S. (2001a): Suction-injection effects on the onset of Rayleigh-Benard-Marangoni convection in a fluid with suspended particles. - Act! Mechanica, vol. 152, No. 1-4, pp.241-252.
- [16] Siddheshwar P.G. and Pranesh S. (2001b): Effect of non-uniform temperature gradients and magnetic field on the onset of convection in fluids with suspended particles under microgravity conditions. - Indian J. Engng. and Matls. Scis.,vol.8, pp.77-83.
- [17] Siddheshwar P.G. and Pranesh S. (2002): Magnetoconvection in fluids with suspended particles under lg and // g. - J. Aerospace Sci. and Tech. (in press).
- [18] Steinberg V. and Brand H.R. (1983): Convective instabilities of binary mixtures with fast chemical reaction in a porous medium. - J. Chem. Phys., vol.78, No.5, pp.2655- 2660.
- [19] Steinberg V. and Brand H.R. (1984): Amplitude equations for the onset of convection in a reactive mixture in a porous medium. - J. Chem. Phys., vol.80, No.l, pp.431-435.
- [20] Viljoen H. and Hlavacek V. (1987): Chemically driven convection in a porous medium. AIChE J., vol.33, No.8, pp.1344-1350.
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Bibliografia
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