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Nonlinear Kelvin–Helmholtz instability of a subsonic gas–liquid interface in the presence of a normal magnetic field

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  • Zakaria, Kadry

Abstract

The nonlinear Kelvin–Helmholtz instability of a horizontal interface between a magnetic inviscid incompressible liquid and an inviscid laminar subsonic magnetic gas is investigated in the presence of a normal magnetic field. The gas and the liquid are assumed to have finite thicknesses. The stability of the progressive waves is discussed theoretically. The stability diagrams are discussed using a numerical application. The solitons, at some interval of the interface, are discussed. The stability conditions near the cutoff magnetic field is taken into account.

Suggested Citation

  • Zakaria, Kadry, 1999. "Nonlinear Kelvin–Helmholtz instability of a subsonic gas–liquid interface in the presence of a normal magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 273(3), pages 248-271.
    • Handle: RePEc:eee:phsmap:v:273:y:1999:i:3:p:248-271
    DOI: 10.1016/S0378-4371(99)00201-0
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    Cited by:

    1. Zakaria, Kadry, 2003. "Nonlinear dynamics of magnetic fluids with a relative motion in the presence of an oblique magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(3), pages 221-248.
    2. Sirwah, Magdy A., 2007. "Nonlinear Kelvin–Helmholtz instability of magnetized surface waves on a subsonic gas–viscous potential liquid interface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 381-400.

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