Inviscid Instability of Antisymmetric Flows in a Channel

  • Gotoh Kanefusa
    Research Institute for Methematical Sciences, University of Kyoto
  • Ikeda Norito
    Department of Physics, Faculty of Science, University of Kyoto

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Rayleigh equation in the hydrodynamic stability theory is investigated for antisymmetric velocity profiles in a channel. For the disturbance of zero-phase-velocity, it is revealed that there exist only two neutrally stable solutions, one is the spatially antisymmetric mode of zero-wave-number and the other is the symmetric one of finite wave-number.

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