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The relation (56) is the dispersion equation of a fluid cylinder acting upon the electromagnetic force. It relates the growth rate σ with the modified Bessel function I0(x) and K0(x) and their derivative, the wave number m and x, the amplitude U of the streaming velocity, Ω the oscillation frequency of the oscillating streaming, α the parameter of the magnetic field in the gas cylinder and with the parameters T, ρ, R0, μ and H0 of the problem.
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