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GRADIENT EFFECT ON KELVIN HELMHOLTZ INSTABILITY IN THE PRESENCE OF INHOMOGENEOUS D.C. ELECTRIC FIELD

By R. S. Pandey

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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.

Citation:
R. S. Pandey, "Gradient effect on kelvin helmholtz instability in the presence of inhomogeneous d.c. electric field," Progress In Electromagnetics Research B, Vol. 11, 39-53, 2009.
doi:10.2528/PIERB08073101
http://www.jpier.org/pierb/pier.php?paper=08073101

References:
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.

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.

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.

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

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.

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

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.

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

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

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

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

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

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

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

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

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.

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.

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

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

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.

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.

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

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

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

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.

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

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.

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.

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.

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

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

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

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

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


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