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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/062/04/0899-0909

    • Keywords

       

      Magnetohydrodynamic; Kelvin-Helmholtz instability; rotation; eigenfunctions

    • Abstract

       

      The Kelvin-Helmholtz instability in sheared magnetohydrodynamic flow of an ideally conducting rotating inhomogeneous compressible plasma is investigated. The asymptotic behaviour inx of the Kelvin-Helmholtz eigenfunctions for the case of finite compressibility in the presence of rotation is discussed and instability condition is derived. In the incompressible limit, a dispersion relation is derived which has been solved numerically and discussed in detail. It is found that the inhomogeneous system is unstable in an incompressible plasma.

    • Author Affiliations

       

      Vinod Kumar1 K M Srivastava2 Nagendra Kumar3 Himanshu Sikka3

      1. Department of Mathematics, J.V. Jain College, Saharanpur - 247 001, India
      2. 2019, Sector D-II, Vasant Kunj, New Delhi - 110 070, India
      3. Department of Mathematics, K.G.K.(P.G.) College, Moradabad - 244 001, India

    • Dates

       
      Published
      April 2004
      Manuscript received
      21 August 2003
      Manuscript revised
      4 December 2003
      Accepted
      20 December 2003

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