Abstract
Thermal instability of a finitely conducting hydromagnetic composite medium is considered including the effects of Hall currents and the collisions with neutrals. The equilibrium magnetic field is assumed to be uniform and vertical. For stationary convection, the collissions have no effect, while the Hall currents are found to have a destabilizing effect on the thermal instability. It is further shown that whenM is finite andQ→∞ the asymptotic behaviours of the critical Rayleigh number, the critical wave number and the critical temperature gradient remain the same as those obtained by Chandrasekhar whereM is a nondimensional number which includes the Hall current effects andQ stands for the Chandrasekhar number.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bhatia, P. K.: 1970,Nucl. Fusion 10, 383.
Bhatia, P. K. and Gupta, O. P.: 1973,Publ. Astron. Soc. Japan 25, 541.
Chandrasekhar, S.: 1961,Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford.
Gupta, A. S.: 1967,Rev. Roumaine Math. Pures Appl. 12, 665.
Hans, H. K.: 1968,Nucl. Fusion 8, 89.
Hosking, R. J.: 1965,Phys. Rev. Letters 15, 344.
Lehnert, B.: 1972, R. Inst. Technol. Stockholm Rep. NOSTRITA-EPP-7205, 06, and Proc. 5th European Conf. on Controlled Fusion and Plasma Physics. Grenoble, France, 21 May–August.
Rao, S. S. and Kalra, G. L.: 1967,Can. J. Phys. 45, 2779.
Sharma, R. C.: 1976,Physica C81, 199.
Strömgren, B.: 1939,Astrophys. J. 89, 526.
Taylor, R. J.: 1962,Nucl. Fusion Suppl. 877.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sharma, K.C., Sharma, S. Hall effects on thermal hydromagnetic instability of a partially ionized medium. Astrophys Space Sci 112, 391–395 (1985). https://doi.org/10.1007/BF00653521
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00653521