Abstract
The instability behavior of a power law liquid jet moving in a swirling air is investigated theoretically. The power law model is selected to describe the viscosity of the non-Newtonian jet. The corresponding dispersion relation is obtained by a linear stability analysis. Besides, the effects of air swirl strength, non-axisymmetric mode, liquid Weber number, generalized Reynolds number, power law index and consistency coefficient on the instability of the power law liquid jet surrounded by a swirling gas are studied in the Rayleigh and Taylor modes. The results show that the shear-thickening liquid jet is more unstable than the Newtonian and shear-thinning liquids when the air swirl is introduced. The air swirl is a stabilizing factor on the instability of the power law liquid jet in Rayleigh and Taylor modes. It is also found, when the air swirl is introduced, the maximum growth rate of the power liquid jet decreases as the liquid Weber number increases in Rayleigh mode, while it increases in Taylor mode. Moreover, the viscous forces of the liquid always prevent the jet from breaking up.
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