Abstract
A new theoretical model is established to study the breakup of a charged power-law liquid jet, which is moving in coaxial swirling air. The liquid non-Newtonian behavior is explained by the power-law model, which is assumed to be the leaky dielectric material in this paper. The corresponding dispersion relation about the radical electrical field is derived by linear analysis. Results show that when the air swirl is introduced, the changing trend of the unstable growth rate on the axisymmetric mode is the same as the nonaxisymmetric ones. It is noted that the air swirl is one of the factors that stabilize the power-law liquid jet. Moreover, the effects of the electric field and the Weber number on the jet instability are examined on the temporal mode. Especially, when the electrostatic force increases to a threshold value, the effect of the air swirl is almost negligible on the jet breakup. Finally, the difference can be revealed between the Newtonian and the non-Newtonian liquid jets by investigating the effect of the power-law index.
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