Abstract
The temporal instability behavior of a non-Newtonian liquid jet in the presence of cavitation bubbles is investigated theoretically. The power law model is selected to describe the viscosity of the non-Newtonian jet. The unstable growth rate is obtained by Chebyshev collocation method. Besides, the effects of the compressibility of liquid, the compressibility of gas, the incorporating compressibility of both liquid and gas on the instability of the power law liquid jet are studied in this case. Especially, energy analysis is performed to study the breakup mechanism of the jet. The results show that the liquid compressibility is a unstable factor on the jet instability. However, the gas compressibility is the factor to prevent the jet from breaking. For the axisymmetric disturbance, it is noted that the viscous force always makes the jet being stable by energy analysis. But for the first asymmetric disturbance, there exists a turning point for the effect of viscosity of the liquid on the jet instability at a large wave number.
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