Abstract
Kelvin-Helmholtz instability of two superimposed fluids has been studied. One of the fluids is non-conducting and the other is conducting with finite resistivity. The fluids are assumed rotating and slipping past each other with a relative velocity. The neutral particles are also incorporated in one of the fluids of the system. A general dispersion relation has been derived and discussed under different conditions. The effect of rotation and the neutral particles, considering an infinitely-conducting system has also been analyzed and it is observed that small rotation and the presence of neutral particles destabilize the system. The effect of neutral particles is to decrease the effect of magnetic field, angular velocity, and the gravitational field. It has been found that an otherwise stable mode becomes overstable and grows exponentially in the presence of finite resistivity.
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Chhajlani, R.K., Vyas, M.K. Kelvin-Helmholtz instability of superimposed magnetized, rotating fluids with neutral particles and resistivity. Astrophys Space Sci 176, 69–83 (1991). https://doi.org/10.1007/BF00643078
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DOI: https://doi.org/10.1007/BF00643078