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.
[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.
Year 2020,
Volume: 2 Issue: 1, 21 - 27, 30.07.2020
[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.
Kumar, P., & Mohan, H. (2020). On the Stability of Composite Plasma in Porous Medium. Ikonion Journal of Mathematics, 2(1), 21-27.
AMA
Kumar P, Mohan H. On the Stability of Composite Plasma in Porous Medium. ikjm. July 2020;2(1):21-27.
Chicago
Kumar, Pardeep, and Hari Mohan. “On the Stability of Composite Plasma in Porous Medium”. Ikonion Journal of Mathematics 2, no. 1 (July 2020): 21-27.
EndNote
Kumar P, Mohan H (July 1, 2020) On the Stability of Composite Plasma in Porous Medium. Ikonion Journal of Mathematics 2 1 21–27.
IEEE
P. Kumar and H. Mohan, “On the Stability of Composite Plasma in Porous Medium”, ikjm, vol. 2, no. 1, pp. 21–27, 2020.
ISNAD
Kumar, Pardeep - Mohan, Hari. “On the Stability of Composite Plasma in Porous Medium”. Ikonion Journal of Mathematics 2/1 (July 2020), 21-27.
JAMA
Kumar P, Mohan H. On the Stability of Composite Plasma in Porous Medium. ikjm. 2020;2:21–27.
MLA
Kumar, Pardeep and Hari Mohan. “On the Stability of Composite Plasma in Porous Medium”. Ikonion Journal of Mathematics, vol. 2, no. 1, 2020, pp. 21-27.
Vancouver
Kumar P, Mohan H. On the Stability of Composite Plasma in Porous Medium. ikjm. 2020;2(1):21-7.