Self-destabilizing mechanism of a laminar inviscid liquid jet issuing from a circular nozzle.
Self-destabilizing mechanism of a laminar inviscid liquid jet issuing from a circular nozzle.
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DOI：
10.1103/physreve.83.046307
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发表时间：
2011-04
期刊：
影响因子：
--
通讯作者：
A. Umemura
中科院分区：
文献类型：
--
作者：
A. Umemura
层流无粘性液体（通常为水）从圆形喷嘴喷射到静止空气中，在距喷嘴一定距离处周期性地分解成液滴。Plateau-Rayleigh不稳定性理论和其他理论无法确定这种破裂长度，因为它们没有任何逻辑来确定导致破裂的不稳定波的初始振幅。在本文中，一个封闭的空间演化解推导出一个均匀发出的液体射流通过应用理论，确定不稳定波的起源。该解描述了液体射流在稳定破碎状态下的自失稳机制，表明不稳定波的初始振幅由毛细管波决定，而毛细管波的上游传播速度是由每次破碎时的尖端收缩产生的。最后，所开发的理论扩展到允许从长喷嘴发出的液体射流的自失稳机制，其最初具有抛物线速度分布，并导致长的破碎长度。
A laminar inviscid liquid (typically water) jet issuing from a circular nozzle into otherwise quiescent air disintegrates into droplets periodically at a distance from the nozzle. The Plateau-Rayleigh instability theory and others cannot determine this breakup length because they do not have any logic that determines the initial amplitude of the unstable wave responsible for the breakup. In this paper, a closed spatial evolution solution is derived for a uniformly issued liquid jet by applying a theory that identifies the origin of the unstable wave. This solution describes the self-destabilizing mechanism of the liquid jet in the steady breakup state, showing that the initial amplitude of the unstable wave is determined by the capillary wave with upstream propagating speed that is created by the tip contraction at every breakup. Finally, the developed theory is extended to allow for the self-destabilizing mechanism of a liquid jet issuing from a long nozzle, which initially has a parabolic velocity profile and results in a long breakup length.