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On the Stability of Composite Plasma in Porous Medium

Yıl 2020, Cilt: 2 Sayı: 1, 21 - 27, 30.07.2020

Öz

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.

Destekleyen Kurum

NIL

Proje Numarası

nil

Kaynakça

  • [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.
Yıl 2020, Cilt: 2 Sayı: 1, 21 - 27, 30.07.2020

Öz

Proje Numarası

nil

Kaynakça

  • [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.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Uygulamalı Matematik
Bölüm Kabul edilmiş makaleler
Yazarlar

Pardeep Kumar

Hari Mohan Bu kişi benim 0000-0003-1959-6425

Proje Numarası nil
Yayımlanma Tarihi 30 Temmuz 2020
Kabul Tarihi 24 Ağustos 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 2 Sayı: 1

Kaynak Göster

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. Temmuz 2020;2(1):21-27.
Chicago Kumar, Pardeep, ve Hari Mohan. “On the Stability of Composite Plasma in Porous Medium”. Ikonion Journal of Mathematics 2, sy. 1 (Temmuz 2020): 21-27.
EndNote Kumar P, Mohan H (01 Temmuz 2020) On the Stability of Composite Plasma in Porous Medium. Ikonion Journal of Mathematics 2 1 21–27.
IEEE P. Kumar ve H. Mohan, “On the Stability of Composite Plasma in Porous Medium”, ikjm, c. 2, sy. 1, ss. 21–27, 2020.
ISNAD Kumar, Pardeep - Mohan, Hari. “On the Stability of Composite Plasma in Porous Medium”. Ikonion Journal of Mathematics 2/1 (Temmuz 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 ve Hari Mohan. “On the Stability of Composite Plasma in Porous Medium”. Ikonion Journal of Mathematics, c. 2, sy. 1, 2020, ss. 21-27.
Vancouver Kumar P, Mohan H. On the Stability of Composite Plasma in Porous Medium. ikjm. 2020;2(1):21-7.