On the Stability of Composite Plasma in Porous Medium
Year 2020,
Volume: 2 Issue: 1, 21 - 27, 30.07.2020
Pardeep Kumar
,
Hari Mohan
Abstract
Rayleigh-Taylor instability of a composite plasma in porous medium is considered to include the frictional effect of collisions of ionized with neutral atoms in the presence of a variable magnetic field. The system is found to be stable for stable density stratification. The magnetic field can stabilize a system which was unstable in its absence. The medium permeability has a decreasing or an increasing effect on the growth rates. With the increase in collisional frequency, the growth rates decrease but may have increasing influence in certain region.
Supporting Institution
NIL
References
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Year 2020,
Volume: 2 Issue: 1, 21 - 27, 30.07.2020
Pardeep Kumar
,
Hari Mohan
References
- [1] Chandrasekhar, S. (1981) Hydrodynamic and hydromagnetic stability. Dover Publication, New York.
- [2] Stromgren, B. (1939) The physical state of interstellar hydrogen. Astrophysics J., 89: 526-547.
- [3] Alfven, H. (1954) The origin of the solar system. Clarendon Press, Oxford.
- [4] Piddington, J.H. (1954) Electromagnetic field equations for a moving medium with hall conductivity. Monthly Notices Roy. Astron. Soc., 14: 638.
- [5] Lehnert, B. (1959) Plasma of cosmic and laboratory scales. Suppl. Nuovo Cimento, 13: 59.
- [6] Hans, H.K. (1968) Larmor radius and collisional effects on the combined Taylor and Kelvin instabilities in a composite medium. Nucl. Fusion, 8: 89-92.
- [7] Bhatia, P.K. (1970) Collisional effects on the Rayleigh-Taylor instability in a composite medium. Nucl. Fusion, 10: 383-386.
- [8] Phillips, O.M. (1991) Flow and reaction in permeable rocks. Cambridge University Press, Cambridge, U.K..
- [9] Ingham, D.B., Pop, I. (1998) Transport phenomena in porous medium. Pergamon Press, Oxford, U.K..
- [10] Nield, D.A. .and Bejan, A. (1999) Convection in porous medium. 2nd Edition, Springer, New York.
- [11] Lapwood, E.R. (1948) Convection of a fluid in a porous medium. Proc. Camb. Phil. Soc., 44: 508-521.
- [12] Wooding, R.A. (1960) Rayleigh instability of a thermal boundary layer in flow through a porous medium. J. Fluid Mech., 9: 183-192.
- [13] McDonnel, J.W. (1978) Cosmic dust. John Wiley and Sons, Toronto.
- [14] Diaz, A.J., Khomenko, E., Collados, M. (2014) Rayleigh Taylor instability in partially ionized compressible plasmas: One fluid approach. Astronomy & Astrophysics, A97: 564-567.
- [15] Molevich, N.E., Pichugin, S.Yu, Ryaschchikov, D.S., Zavershinskii, D.I. (2018) Condensation instability in partially ionized plasma in a magnetic field. Bull. Lebedev Physics Institute, 45(9): 267-271.