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A study of the combined effect of thermal radiative transfer and a magnetic field on the gravitational convection of an ionized fluid

Published online by Cambridge University Press:  28 March 2006

M. P. Murgai  and
P. K. Khosla
M. P. Murgai
Affiliation:
Defence Science Laboratory, Metcalfe House, Delhi 6, India
P. K. Khosla
Affiliation:
Defence Science Laboratory, Metcalfe House, Delhi 6, India
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Abstract

The effect of radiative transfer on the thermal stability of an ionized fluid, in the presence of uniform vertical magnetic field has been examined from hydromagnetic approximations. Two asymptotic cases (i) when the fluid is optically thin and (ii) when it is optically thick, have been examined in detail. The principle of exchange of stabilities and the concept of over-stability have been discussed and the physical conditions under which the former will hold, obtianed. Also the conditions as to which type of instability will arise first are derived and it has been shown that in the presence of large magnetic field over-stability arises earlier than convection under the first approximation.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 14 , Issue 3 , November 1962 , pp. 433 - 451
Copyright
© 1962 Cambridge University Press

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References

Bénard, M. 1900 Rev. gén. Sci. pur. appl., 12, 1261, 1309.
Bénard, M. 1901 Ann. Chim. (Phys.), 23, 62.
Chandrasekhar, S. 1957 Stellar Structure. New York: Dover.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford: Clarendon Press.
Chandrasekhar, S. 1952 Phil. Mag. (7), 43, 501.
Chandra, K. 1938 Proc. Roy. Soc. A, 164, 231.
Goody, R. M. 1956 J. Fluid Mech. 1, 424.
Jeffreys, H. 1928 Proc. Roy. Soc. A, 118, 195.
Malkus, W. V. R. 1954 Proc. Roy. Soc. A, 225, 185.
Morton, B. R. 1957 Quart. J. Mech. Appl. Math. 10, 433.
Murgai, M. P. 1962 J. Fluid Mech. 12, 441.
Pellew, A. & Southwell, R. V. 1940 Proc. Roy. Soc. A, 176, 312.
Rayleigh, Lord 1916 Phil. Mag. (6), 32, 529. Also Scientific Papers, 6, 432.
Sutton, O. G. 1950 Proc. Roy. Soc. A, 204, 297.
Speigel, E. A. 1960 Astrophys. J. 132, 716.
Thompson, W. B. 1951 Phil. Mag. (7), 42, 1417.