volume | PIER Journals

Abstract

Kelvin-Helmoholtz instability by parallel flow velocity shear in presence of inhomogeneous d.c. electric field and perpendicular density temperature magnetic field gradient has been studied by using method of characteristic solution and kinetic approach. Effect of in homogeneity of d.c. electric field and gradient have been discussed in result. The growth rates have been calculated for different effects and showing in stabilizing and destabilizing of instability.

1. Axford, W. I. and C. O. Hines, "A unifying theory of high latitude geophysical phenomena and geomagnetic storms," Can. J. Phys., Vol. 39,1433, 1961. Google Scholar

2. Mishra, S. P., K. D. Misra, and R. N. Singh, "Stability of magnetopause boundary and generation of long period geomagnetic pulsations," Pramana, Vol. 6,77, 1976. Google Scholar

3. Mishra, S. P. and K. P. Misra, "Role of Kelvin-Helmholtz instability in ionospheric phenomena," Indian J. Radio and Space Phys., Vol. 5, 250, 1976. Google Scholar

4. Mishra, S. P. and K. D. Misra, "Kelvin-Helmholtz instability in a magneto-plasma," IEEE Transaction on Plasma Sci., Vol. 6, 355, 1978. Google Scholar

5. Yumoto, K. and T. Saito, "Hydromagnetic waves driven by velocity shear instability in the magnetispheric boundary layer," Planet Space Sci., Vol. 28, 789, 1980. Google Scholar

6. Walkar, A. D. M., "The Kelvin-Helmholtz instability in the lowlatitude boundary layer," Planet Space Sci., Vol. 29, 1119, 1981. Google Scholar

7. Cowley, S. W. H., D. J. Southwoo, and M. A. Saunders, "Interaction of magnetic field perturbations in the earth's magnetic boundary layers," Planet Space Sci., Vol. 31, 1237, 1983. Google Scholar

8. Takahashi, K. and R. L. McPherron, "Standing hydro magnetic oscillations in the magnetosphere," Planet. Space Sci., Vol. 34, 1223, 1984. Google Scholar

9. Kivelson, M. G. and Z.-Y. Pu, "The Kelvin-Helmholtz insatability on the magnetopause," Planet Space Sci., Vol. 32, 1335, 1984. Google Scholar

10. Uberoi, C., "On the Kelvin-Helmholtz instability of structured plasma layers in the magnetosphere," Planet Space Sci., Vol. 34, 1223, 1984. Google Scholar

11. Basu, B. and B. Coppi, "Velocity shear and fluctuations in the auroral regions of the ionosphere," J. Geophys. Res., Vol. 94, 5316, 1989. Google Scholar

12. Eastman, T. E., S. A. Fuselier, and J. T. Gosling, "Magnetopause crossing without aboundary layer," J. Geophys. Res., Vol. 101, 49-57, 1996.
doi:10.1029/95JA02757 Google Scholar

13. Omidi, N. and D. Winske, "Structure of the magnetopause inferred from one-dimensional hybrid simulations," J. Geophys. Res., Vol. 100, 11935-11955, 1995.
doi:10.1029/94JA02937 Google Scholar

14. Sotirelis, T., "The shape and field of the magnetopaure as determined from pressure balance," J. Geophys. Res., Vol. 1001, 15255, 1996. Google Scholar

15. Pu, Z.-Y., "Kelvin-Helmholtz instability in collisionless space plasmas," Phys. Fluids B, Vol. 1, 440, 1989. Google Scholar

16. Romero, H., G. Ganguli, Y. C. Lee, and P. J. Palmadesso, "Electron-ion hybrid instabilities driven by velocity shear in a magnetized plasma," Phys. Fluids B, Vol. 4, 1708, 1992. Google Scholar

17. Wang, Z., P . L. Pritchett, and M. Ashour-Abdalla, "Kinetic effects on the velocity shear driven instability," Phys. Fluids B, Vol. 4, No. 5, 1092, 1992. Google Scholar

18. Thomas, V. A. and D. Winske, "Kinetic simulations of the Kelvin-Helmholtz instability at the magnetopause," J. Geophys. Res., Vol. 98, 11425, 1993. Google Scholar

19. Fujimoto, M. and T. Terasawo, "Anomalous ion mixing within an MHD scale Kelvin-Helmholtz vortex," J. Geophys. Res., Vol. 99, 8601, 1994. Google Scholar

20. Nishikawa, K. I., G. Ganguli, Y. C. Lee, and P. J. Palmadesso, "Simulation of ion-cyclotron like modes in a magnetoplasma with transverse imhomogeneous electric field," Phys. Fluids, Vol. 31, 1568, 1988. Google Scholar

21. Tajma, T., W. Horton, P . J. Monison, J. Schutkeker, T. Kaminura, K. Mina, and Y. Abe, "Instabilities and Vortex dynamics in shear flow of magnetized plasmas," Phys. Fluids B, Vol. 3, 938, 1991. Google Scholar

22. Thomas, V. A., "Kinetic simulation of the Kelvin-Helmholtz instability in a finite sizedjet," J. Geophys. Res., Vol. 100, 12011-12016, 1995.
doi:10.1029/94JA02371 Google Scholar

23. Thomas, V. A., "Three-dimensional kinetic simulation of the Kelvin-Helmholtz instability," J. Geophys. Res., Vol. 100, 19429-19433, 1995.
doi:10.1029/95JA01130 Google Scholar

24. Huba, J. D., "The Kelvin-Helmholtz instability in inhomogeneous plasmas," J. Geophys. Res., Vol. 86, 3653, 1981. Google Scholar

25. Pritchett, P . L. and F. V. Coroniti, "The collisionless macroscopic Kelvin-Helmholtz instability. 1. Transverse electrostatic mode," J. Geophys. Res., Vol. 89, 168, 1984. Google Scholar

26. Lemons, D. S., D. Winske, and S. P. Gary, "Electrostatic ionvelocity shear instability," J. Geophys. Res., Vol. 97, 19381, 1992. Google Scholar

28. Pandey, R. S., K. D. Misra, and A. K. Tripathi, "Kelvin-Helmholtz instabilityin an anisotropic magneto-plasma in the presence of inhomogeneous perpendicular electric field and parallel flow velocity shear," Indian Journal of Radio and Space Physics, Vol. 30, 113-120, 2001. Google Scholar

29. Pandey, R. S., K. D. Misra, and A. K. Tripathi, "Generation of electrostatics ion-cyclotron like wave by parallel flow velocity shear in the presence of inhomogeneous electric field in an anisotropic magneto-plasma," Indian Journal of Radio & Space Physics, Vol. 30, 75-82, 2003. Google Scholar

30. Misra, K. D. and R. S. Pandey, "Generation of whistler emission by injection of hot electrons in presence of perpendicular a.c. electric field," J. Geophys. Res., Vol. 100, 19405, 1995. Google Scholar

31. Huang, H., Y. Fan, B. Wu, F. Kong, and J. A. Kong, "Surface modes at the interfaces between isotropic media and uniaxial plasma," Progress In Electromagnetics Research, Vol. 76, 1-14, 2007.
doi:10.2528/PIER07062005 Google Scholar

33. Kudrin, A. V., E. Yu. Petrov, G. A. Kyriaeou, and T. M. Zaboronkova, "Insulated cyclindrical antena in cold magnetoplasma," Progress In Electromagnetics Research, Vol. 53, 135-166, 2005.
doi:10.2528/PIER04090101 Google Scholar

34. Pandey, R. S., R. P. Pandey, K. M. Singh, and N. M. Mishra, "Cold plasma injection on VLF wave mode for relativistic magnetoplasma with a.c. electric field," Progress In Electromagnetics Research C, Vol. 2, 217-232, 2008.
doi:10.2528/PIERC08022501 Google Scholar

35. Pandey, R. S., R. P. Pandey, A. K. Srivastava, S. M. Karim, and Hariom, "Electromagnetic ion-cyclotron instability in presence ," Progress In Electromagnetics Research M, Vol. 1, 207-217, 2008.
doi:10.2528/PIERM08032601 Google Scholar

36. Pandey, R. S., U. C. Srivastava, R. P. Pandey, B. B. Prasad, and Hariom, "Velocity shear ion cyclotron instability with perpendicular a.c. electric field," Progress In Electromagnetics Research M, Vol. 3, 177-199, 2008.
doi:10.2528/PIERM08053001 Google Scholar

Dr. Rama Pandey