粘弹性螺旋射流的不稳定性

Instability of Viscoelastic Spiralling Jet

摘要: 本文研究了液体射流破碎的机制，特别关注了扰动在液体射流中发展的影响。液体射流破碎通常是由微小扰动引起的，这些扰动会随着时间的推移而增长，最终导致液柱分裂并形成液滴。研究表明，扰动的类型和发展方式决定了液滴的尺寸和分布，尤其是在瑞利破碎模式下。在低速射流中，扰动主要由瑞利–普拉特不稳定性主导，而在高速射流中则由开尔文–亥姆霍兹不稳定性主导。本文还采用了粘弹性流体模型，对离心射流中的扰动进行了线性稳定性分析，揭示了不同流体特性和旋转速度对射流破碎的影响。研究表明，适当的弹性效应可以有效抑制射流表面扰动的增长，从而提高射流的稳定性，延缓其破裂过程。

Abstract: This study investigates the mechanisms of liquid jet breakup, with a particular focus on the influence of disturbances on the development of the liquid jet. Liquid jet breakup is typically triggered by small disturbances, which grow over time and ultimately lead to the rupture of the liquid column and the formation of droplets. The research shows that the type and development of disturbances determine the size and distribution of the droplets, especially under the Rayleigh breakup mode. In low-velocity jets, disturbances are primarily governed by Rayleigh-Plateau instability, while in high-velocity jets, Kelvin-Helmholtz instability dominates. The study also employs a viscoelastic fluid model and conducts a linear stability analysis of disturbances in centrifugal jets, revealing the effects of different fluid properties and rotational speeds. On jet breakup. The findings suggest that appropriate elastic effects can effectively suppress the growth of surface disturbances in the jet, thereby enhancing jet stability and delaying the rupture process.