Abstract
The thermal convection instability of a two component fluid layer subjected to a temperature gradient has been studied in the presence of an applied magnetic field. The associated thermal diffusion separation has a predominant effect even when the separations are small. Solutions for the non-oscillatory marginal states have been obtained. It is shown that the concentration gradient has a stabiliting or destabilizing effect according as ΔT<or>0. Approximate solutions for the oscillatory solutions have been obtained by the method of variational principle and the dispersion relation has been solved numerically.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Agar, J. N. and Turner, J. C. R.: 1960,Proc. Roy. Soc. (London) 255A, 307.
Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford, England.
Glansdorff, P. and Prigogine, I.: 1964,Physica 30, 351.
De Groot, S. R. and Mazur, P.: 1962,Non-Equilibrium Thermodynamics, North-Holland, Amsterdam.
Legros, J. C., Van Hook, W. A. and Thomaes, G.: 1968,Chem. Phys. Letters 2, 251.
Schechter, R. S.: 1967,The Variational Methods in Engineering, McGraw-Hill, New York.
Schechter, R. S. and Himmelblau, D. M.: 1965,Phys. Fluids 8, 1431.
Schechter, R. S., Prigogine, I., and Hamm, J. R.: 1972,Phys. Fluids 15, 379.
Stommel, H., Arons, A. B., and Blanchard, D.: 1956,Deep-Sea Res. 3, 152.
Turner, J. C. R.: (private communication).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Srivastava, K.M., Sudhanshu & Katiyar, V.K. Thermal convection instability of a two-component fluid layer in hydromagnetics. Astrophys Space Sci 85, 121–135 (1982). https://doi.org/10.1007/BF00653438
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00653438