Rayleigh-Taylor Instability of Magnetized Plasma through Darcy Porous Medium

Gamal Abdallah Hoshoudy

Department of Applied Mathematics and Computer Science, Faculty of Science, South Valley University, Kena, Egypt.

DOI: 10.4236/jmp.2014.55029                

Abstract

Effects of horizontal and vertical magnetic field components on the Rayleigh-Taylor instability of stratified incompressible plasmas layer of variable density through Darcy porous medium are studied. The basic magnetohydrodynamic (MHD) set of equations has been constructed and linearized. Then the linear normalized growth rate is obtained analytically as a function of the physical parameters of the system considered. Numerical calculations have been performed to see the effects of various parameters on the normalized growth rate of Rayleigh-Taylor instability.(For more information,please refer to the PDF.)

Keywords

Rayleigh-Taylor Instability; Magnetized Plasmas; Darcy Porous Media

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Rayleigh, L. (1882) Proceedings of the London Mathematical Society, 14, 170-177. http://dx.doi.org/10.1112/plms/s1-14.1.170
[2]	Taylor, G.I. (1950) Proceeding of the Royal Society of London Series A, 201, 192-196. http://dx.doi.org/10.1098/rspa.1950.0052
[3]	Kruskal, M. and Schwarzschild, M. (1954) Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 223, 348-360. http://dx.doi.org/10.1098/rspa.1954.0120
[4]	Hide, R. (1955) Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 233, 376-396. http://dx.doi.org/10.1098/rspa.1955.0273
[5]	Bhatia, P.K. (1974) Astrophysics and Space Science, 26, 319-325. http://dx.doi.org/10.1007/BF00645614
[6]	Bhatia, P.K. and Steiner, J.M. (1975) Astrophysics and Space Science, 34, 459-465. http://dx.doi.org/10.1007/BF00644812
[7]	Abani, K. and Srivastav, K.M. (1975) Il Nuovo Cimento B Series 11, 26, 419-432. http://dx.doi.org/10.1007/BF02738570
[8]	Sanghvi, R.K. and Chhajlani, R.K. (1987) Astrophysics and Space Science, 132, 57-64. http://dx.doi.org/10.1007/BF00637781
[9]	Donald Ariel, P. (1991) Astrophysics and Space Science, 184, 205-219. http://dx.doi.org/10.1007/BF00642969
[10]	Ali, A. and Bhatia, P.K. (1993) Physica Scripta, 47, 567-570. http://dx.doi.org/10.1088/0031-8949/47/4/016
[11]	Khan, A. and Bhatia, P.K. (1993) Physica Scripta, 48, 607-611. http://dx.doi.org/10.1088/0031-8949/48/5/017
[12]	Goldston, R.J. and Rutherford, P.H. (1995) Introduction to Plasma Physics Institute of Physics, Institute of Physics Publishing, Bristol. http://dx.doi.org/10.1201/9781439822074
[13]	Wu, Z., Zhang, W., Li, D. and Yang, W. (2004) Chinese Physics Letters, 21, 2001-2004. http://dx.doi.org/10.1088/0256-307X/21/10/038
[14]	Vyas, M.K. and Chhajlani, R.K. (1988) Astrophysics and Space Science, 140, 89-104. http://dx.doi.org/10.1007/BF00643533
[15]	Sharma, R.C. and Bhardwaj, V.K. (1990) Czechoslovak Journal of Physics, 40, 753-760. http://dx.doi.org/10.1007/BF01606015
[16]	Sharma, R.C. and Sharma, Y.D. (1989) Astrophysics and Space Science, 155, 295-300. http://dx.doi.org/10.1007/BF00643865
[17]	Sharma, R.C. and Chand, T. (1989) Astrophysics and Space Science, 155, 301-310.
[18]	Sharma, R.C. and Sunil (1992) Astrophysics and Space Science, 194, 303-311. http://dx.doi.org/10.1007/BF00643999
[19]	Oza, S. and Bhatia, P.K. (1993) Astrophysics and Space Science, 199, 279-288. http://dx.doi.org/10.1007/BF00613201
[20]	Opara, F.E. (1994) Astrophysics and Space Science, 213, 197-204. http://dx.doi.org/10.1007/BF00658210
[21]	Sharma, R.C. and Sunil (1994) Czechoslovak Journal of Physics, 44, 927-936. http://dx.doi.org/10.1007/BF01715486
[22]	Sharma, R.C. and Sunil (1995) Physics of Plasmas, 2, 1886-1892. http://dx.doi.org/10.1063/1.871275
[23]	Sunil and Sharma, Y.D. (1996) Polymer-Plastics Technology and Engineering, 35, 221-231. http://dx.doi.org/10.1080/03602559608000580
[24]	Sharma, R.C. and Thakur, K.P. (1982) International Journal of Mathematics and Mathematical Sciences, 5, 365-367. http://dx.doi.org/10.1155/S0161171282000350
[25]	Sharma, R.C. and Rajput, A. (1992) Astrophysics and Space Science, 187, 105-111. http://dx.doi.org/10.1007/BF00642690