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Spatial instability of coflowing liquid-gas jets in capillary flow focusing

机译:毛细管流动聚焦中并流液-气射流的空间不稳定性

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Considering both the first nonaxisymmetric (n=1) and the axisymmetric (n=0) disturbances, a viscous spatial instability analysis of coflowing liquid-gas jets in capillary flow focusing is carried out. A detailed parametric study is performed to explore characteristics of the spatially amplified branch in a convectively unstable regime. The numerical results show that the Weber number and the velocity at the interface have significant influences on the transition between axisymmetric and nonaxisymmetric instabilities, whereas the other parameters such as the Reynolds number, the slope of the liquid velocity profile at the interface, the density ratio, and the viscosity ratio hardly change the transition. Nonaxisymmetric disturbances grow faster than axisymmetric ones for relatively high Weber numbers. Particularly, the comparison of the theoretical prediction with the experimental results reported by Si et al. [J. Fluid Mech.629, 1 (2009)] indicates that the spatial instability analysis is in better agreement with experiments than the temporal instability analysis for moderate and high Weber numbers.
机译:考虑到第一个非轴对称(n = 1)和轴对称(n = 0)的扰动,在毛细管流动聚焦中对同流液体气体射流进行了粘性空间不稳定性分析。进行了详细的参数研究,以探索对流不稳定状态下空间放大分支的特征。数值结果表明,韦伯数和界面处的速度对轴对称和非轴对称不稳定性之间的过渡具有显着影响,而其他参数(如雷诺数,界面处的液体速度分布的斜率,密度比) ,粘度比几乎不改变转变。对于相对较高的韦伯数,非轴对称扰动的增长快于轴对称扰动的增长。特别是,理论预测与Si等人报道的实验结果的比较。 [J. Fluid Mech.629,1(2009)]指出,对于中高韦伯数,与时间不稳定性分析相比,空间不稳定性分析与实验更加吻合。

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