THERMAL SCIENCE

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Cited By

Pardeep Kumar

,

Hari Mohan

,

Pawittar Singh

ON GENERALIZED HYDROMAGNETIC THERMOSOLUTAL CONVECTION: THE DUFOUR-EFFECT

ABSTRACT
The effect of uniform magnetic field on the Dufour-driven thermosolutal convection of an electrically conducting fluid completely confined in an arbitrary region bounded by rigid walls is considered. Some general qualitative results concerning the character of marginal state, stability of oscillatory motions and limitations on the oscillatory motions of growing amplitude, are derived. The results for the horizontal layer geometry in the present case follow as a consequence.
KEYWORDS
Dufour-driven thermosolutal convection, Rayleigh numbers, Lewis numbers, Prandtl numbers, Chandrasekhar number
PAPER SUBMITTED: 2004-10-24
PAPER REVISED: 2005-02-15
PAPER ACCEPTED: 2005-04-06
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2005, VOLUME 9, ISSUE 1, PAGES [139 - 150]
REFERENCES [view full list]
  1. 1. Fitts, D.D., Nonequlibrium Thermodynamics, McGraw Hill, New York, 1962.
  2. 2. De Groot, S.R., Mazur, P., Nonequilibrium Thermodynamics, North Holland, Amsterdam, 1962.
  3. 3. Mohan, Hari, Dufour-driven Thermosolutal convection of the Veronis Type,
  4. J. Math. Anal. Appl., 218 (1998), pp. 569-580.
  5. 4. Veronis, G., On Finite amplitude Instability in Thermohaline Convection,
  6. J. Marine Res. 23 (1965), pp. 1-17.
  7. 5. Banerjee, M.B., Katoch, D.C, Dube, G.S., Banerjee, K., Bounds for Growth rate of a Perturbation in Thermohaline Convection, Proc. Roy. Soc. London, Ser. A 378 (1981), pp. 301-304.
  8. 6. Sherman, M, Ostrach, S., On the Principle of Exchange of stability for the magnetohydrodynamic thermal Stability Problem incompletely confined fluids, J. Fluid Mech., 23 (1966), pp. 661-671.
  9. 7. Stern, M.E., The Salt Fountain and Thermohaline Convection, Tellus. 12 (1960), pp. 172-175.
  10. 8. Joseph, D.D., Stability of Fluid Motion I, Springer Verlag, NY, 1976.
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ON GENERALIZED HYDROMAGNETIC THERMOSOLUTAL CONVECTION: THE DUFOUR-EFFECT