This paper reports an approach to derive the explicit solutions of the dispersion equation of a liquid jet with small viscosity in high velocity coaxial air stream. The dispersion equation, which contains the relationship of the growth rate and wave number, is very complex when taking the viscosity into account. Researchers have to use the numerical method to analyze the disturbance on the jet surface. The explicit solution is more concise to understand the effect of physical parameters on the jet breakup than the numerical one, and the results show that the explicit solution is applicable for small viscosity liquid jet in high velocity air streams.
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