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Modeling of unsteady MHD free convection flow with radiative heat transfer in a rotating fluid
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Natural Science·Volume 02 (2010)·Pages 1386–1393·Published 28 December 2010·DOI10.4236/ns.2010.212169
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Abstract
In this paper, a numerical simulation has been carried out on unsteady hydromagnetic free convection near a moving infinite flat plate in a rotating medium. The temperatures involved are assumed to be very high so that the radiative heat transfer is significant, which renders the problem highly non-linear even with the assumption of a differential approximation for the radiative heat flux. A numerical method based on the Nakamura scheme has been employed to obtain the temperature and velocity distributions which are depicted graphically. The effects of the different parameters entering into the problem have been discussed extensively.
KeywordsModelingNumerical SimulationNakamura SchemeUnsteady Hydromagnetic Free ConvectionRadiative Heat TransferComputer Program
- Greenspan, H.P. (1968) The theory of rotating fluids. Cambridge University Press, U.K.
- Batchelor, G.K. (1967) An introduction to fluid dynamics. Cambridge University Press, U.K.
- Debnath, L. (1972) On unsteady magnetohydrodynamic boundary layers in a rotating flow. Zeitschrift für Angewandte Mathematik und Mechanik, 52, 623-626.
- Debnath, L. (1974) On the unsteady hydromagnetic boundary layer flow induced by torsional oscillations of a disk. Plasma Physics, 16, 1121-1128.
- Debnath, L. (1975) Exact solutions of the unsteady hydrodynamic and hydromagnetic boundary layer equations in a rotating fluid system. Zeitschrift für Angewandte Mathematik und Mechanik, 55, 431-438.
- Puri, P. and Kulshrestha, P.K. (1976) Unsteady hydromagnetic boundary layer in a rotating medium. Journal of Applied Mechanics, Transactions of the A.S.M.E., 98, 205-208.
- Tokis, J.N. and Geroyannis, V.S. (1981) Unsteady hydromagnetic rotating flow near an oscillating plate. Astrophysics and Space Science, 75, 393-405.
- Tokis, J.N. (1988) Free convection and mass transfer effects on the magnetohydrodynamic flows near a moving plate in a rotating medium. Astrophysics and Space Science, 144, 291-301.
- Kythe, P.K. and Puri, P. (1988) Unsteady MHD free-convection oscillatory flow on a porous plate in a rotating medium. Astrophysics and Space Science, 149, 107-114.
- Naroua, H. (2007) A computational solution of hydromagnetic-free convective flow past a vertical plate in a rotating heat-generating fluid with Hall and ion-slip currents. International Journal for Numerical Methods in Fluids, 53, 1647-1658.
- Naroua, H., Takhar, H.S. and Slaouti, A. (2006) Computational challenges in fluid flow problems: a MHD Stokes problem of convective flow from a vertical infinite plate in a rotating fluid. European Journal of Scientific Research, 13, 101-112.
- Ghosh, S.K. and Pop, I. (2007) Thermal radiation of an optically thick gray gas in the presence of indirect natural convection. International Journal of Fluid Mechanics Research, 34, 515-520.
- Raptis, A. and Perdikis, C. (2003) Thermal radiation of an optically thin gray gas. International Journal of Applied Electromagnetics and Mechanics, 8, 131-134.
- Cheng, P. (1964) Two-dimensional radiating gas flow by a moment method. AIAA Journal, 2, 1662-1664.