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On the Stability of Composite Plasma in Porous Medium

Year 2020, Volume: 2 Issue: 1, 21 - 27, 30.07.2020

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

Project Number

nil

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.
Year 2020, Volume: 2 Issue: 1, 21 - 27, 30.07.2020

Abstract

Project Number

nil

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.
There are 15 citations in total.

Details

Primary Language English
Subjects Applied Mathematics
Journal Section Kabul edilmiş makaleler
Authors

Pardeep Kumar

Hari Mohan This is me 0000-0003-1959-6425

Project Number nil
Publication Date July 30, 2020
Acceptance Date August 24, 2020
Published in Issue Year 2020 Volume: 2 Issue: 1

Cite

APA 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.