Vol. 10

Front:[PDF file] Back:[PDF file]
Latest Volume
All Volumes
All Issues
2008-10-16

Parallel Flow Velocity Shear Kelvin Helmholtz Instability with AC Electric Field

By Rama Pandey, Umesh Chandra Srivastava, Sima Kumari, and Abhay Kumar
Progress In Electromagnetics Research B, Vol. 10, 21-34, 2008
doi:10.2528/PIERB08073102

Abstract

Electrostatic velocity shear Kelvin-Helmholtz instability has been studied for bi-Maxwellian plasma in the presence of perpendicular a.c. electric field by using the method of characteristic solution. The effects of a.c. electric field temperature variation, velocity shear scale length,electron ion temperature ratio and other parameters on growth rate have been discussed.

Citation


Rama Pandey, Umesh Chandra Srivastava, Sima Kumari, and Abhay Kumar, "Parallel Flow Velocity Shear Kelvin Helmholtz Instability with AC Electric Field," Progress In Electromagnetics Research B, Vol. 10, 21-34, 2008.
doi:10.2528/PIERB08073102
http://jpier.org/PIERB/pier.php?paper=08073102

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. Ganguli, G., Y. C. Lee, and P. J. Palmadesso, "Electrostatic ion-cyclotron instability caused by a non-uniform electric field perpendicular to external magnetic field," Phys. Fluids, Vol. 28, 761, 1985.
    doi:10.1063/1.865096

    3. Ganguli, G., Y. C. Lee, and P. J. Palmadesso, "Electron-ion hybrid mode due to transverse velocity shear," Phys. Fluids, Vol. 3D, 156, 1985.

    4. Ganguli, G., Y. C. Lee, and P. J. Palmadesso, "Kinetic theory of electrostatic waves due to transverse velocity shears," Phys. Fluids, Vol. 31, 823, 1988.
    doi:10.1063/1.866818

    5. 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.
    doi:10.1063/1.866696

    6. Nishikawa, K. I., G. Ganguli, C. Lee, and P. J. Palmadesso, "Simulation of electrostatic turbulence due to sheared flows parallel and transverse to the magnetic field ," J. Geophys. Res., Vol. 95, 1029, 1990.
    doi:10.1029/JA095iA02p01029

    7. Pritchett, P . L. and F. V. Coroniti, "The collisionless macroscopic Kelvin-Helmholtz instability. 1. Transverse electrostatic mode," J. Geophys. Res., Vol. 89, 168, 1984.
    doi:10.1029/JA089iA01p00168

    8. Fujimoto, M. and T. Tetasawa, "Ion inertia effect on the Kelvin-Helmholtz instability," J. Geophys. Res., Vol. 96, 15725, 1991.
    doi:10.1029/91JA01312

    9. Pandey, R. S., K. D. Misra, and A. K. Tripathi, "Kelvin-Helmholtz instability in an anisotropic magnetoplasma in the presence of inhomogeneous D.C. electric field parallel flow velocity shear," Indian J. Radio Space Phys., Vol. 30, 113, 2001.

    10. Pandey, R. S., K. D. Misra, and A. K. Tripathi, "Eeneration of ion-cyclotron like wave by parallel flow velocity shear in the presence of inhomogeneous D.C. electric field in an anisotropic magnetoplasma ," Indian J. Radio Space Phys., Vol. 32, 75, 2003.

    11. Farrugia, C. J., P. E. Sandholt, and L. F. Burlarge, "Auroral activity associated with Kelvin-Helmholtz instability at the inner edge of the low latitude boundary layer," J. Geophys. Res., Vol. 99, 19403, 1994.
    doi:10.1029/94JA00926

    12. Opp, N. and A. B. Hassam, "Kelvin-Helmholtz instability in system with large effective larmor radius," Phys. Fluid B, Vol. 3, 885, 1991.
    doi:10.1063/1.859845

    13. Lemons, D. S., D. Winske, and S. P. Gary, "Electrostatic ionvelocity shear instability," J. Geophys. Res., Vol. 97, 19381, 1992.
    doi:10.1029/92JA01735

    14. Thomas, V. A. and D. Winske, "Kinetic simulations of the Kelvin-Helmholtz instability at the magnetopause," J. Geophys. Res., Vol. 98, 11425, 1993.
    doi:10.1029/93JA00604

    16. Fujimoto, M. and T. Terasawas, "Anomalous ion mixing with in a MHD scale Kelvin-Helmholtz vortex 2. — Effects of in homogeneity," J. Geophys. Res., Vol. 100, 12025, 1995.
    doi:10.1029/94JA02219

    17. Mozer, F. S., C. W. Carlson, M. K. Hudson, R. B. Torbert, B. Parady, J. Yatteau, and M. C. Kelley, "Observ ation of paired electrostatic shocks in the polar magnetosphere," Phys. Rev. Lett. , Vol. 38, 292, 1977.
    doi:10.1103/PhysRevLett.38.292

    18. Temerin, M., C. Cattell, R. Lysak, M. Hudson, R. Torbert, F. Mozer, R. Sharp, and P. Kintner, "The small scale stucture of electrostatic shocks," J. Geophys. Res., Vol. 86, 11278, 1981.
    doi:10.1029/JA086iA13p11278

    19. Misra, K. D. and R. S. Pandey, "Generation of Whistler emission by injection of hot electrons in the presence of a.c. electric field in the magnetosphere," J. Geophysics. Res., Vol. 100, 19405, 1995.
    doi:10.1029/95JA01083

    20. Pandey, R. S., R. P. Pandey, S. M. Karim, A. K. Srivastava, and Hariom, "The electromagnetic ion-cyclotron instability in the presence of a.c. electric field for Lorentzian kappa," Progress In Electromagnetics Research M, Vol. 1, 207, 2008.
    doi:10.2528/PIERM08032601

    21. Huba, J. D., "The Kelvin-Helmholtz instability in inhomogeneous plasma," J. Geophys. Res., Vol. 86, 3653, 1981.
    doi:10.1029/JA086iA05p03653

    22. 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.
    doi:10.1063/1.860028