Journal :   International Journal of Technology

Volume No. :   4

Issue No. :  1

Year :  2014

Pages :   07-12

ISSN Print :  2231-3907

ISSN Online :  2231-3915


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On the Effect of Non-Uniform Magnetic field on the Jeans Instability of a Viscoelastic Medium



Address:   Joginder Singh Dhiman, Rajni Sharma
Department of Mathematics, Himachal Pradesh University, Summerhill, Shimla-171005, India
*Corresponding Author
DOI No:

ABSTRACT:
In the present paper the problem of Jeans instability of a self gravitating viscoelastic medium in the presence of non-uniform magnetic field for both longitudinal and transverse mode of wave propagation under the kinetic and hydrodynamic limits has been investigated, using the generalized hydrodynamic model. It is found that magnetic field has no effect on the Jeans criterion for the onset of gravitational instability in case of longitudinal mode of wave propagation, whereas it modifies the Jeans criterion in the case of transverse mode of wave propagation and has stabilizing effect on the onset of instability. Further, it is observed that the magnetic field has no effect on the growth rate of Jeans instability of a viscoelastic medium. The effects of shear viscosity, bulk viscosity and Mach number on the Jeans criterion and on the growth rate of Jeans instability have also been studied numerically and the obtained results are depicted graphically, for both strongly coupled plasma (SCP) and weakly coupled plasma (WCP).
KEYWORDS:
Jeans instability; viscoelastic medium; non-uniform magnetic field; wave propagation; coupled plasma.
Cite:
Joginder Singh Dhiman, Rajni Sharma. On the Effect of Non-Uniform Magnetic field on the Jeans Instability of a Viscoelastic Medium. Int. J. Tech. 4(1): Jan.-June. 2014; Page 07-12
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