Temporal instability analysis of inviscid compound jets falling under gravity
Temporal instability analysis of inviscid compound jets falling under gravity
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DOI：
10.1063/1.4775792
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发表时间：
2013-01
影响因子：
4.6
通讯作者：
Muhammad Mohsin;J. Uddin;S. Decent;M. Afzaal
中科院分区：
文献类型：
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作者：
Muhammad Mohsin;J. Uddin;S. Decent;M. Afzaal
复合液体射流可用于从制药中的胶囊生产到喷墨印刷中的增强印刷方法的各种工业应用中。因此，对复合射流沿着的不稳定性如何导致破碎和液滴形成的理解在科学和工程的许多领域中是至关重要的。本文从理论上分析了在重力作用下垂直福尔斯的轴对称无粘复合液体射流的不稳定性。我们使用一个长波长，细长的射流渐近展开减少到一组一维偏微分方程的控制方程的问题，它描述的领导阶轴向速度的射流以及内外界面的半径的演变。我们首先确定一维模型方程的稳态解，然后进行线性时间不稳定性分析，得到色散关系，这给我们有用的信息…
Compound liquid jets can be used in a variety of industrial applications ranging from capsule production in pharmaceutics to enhance printing methods in ink-jet printing. An appreciation of how instability along compound jets can lead to breakup and droplet formation is thus critical in many fields in science and engineering. In this paper, we perform a theoretical analysis to examine the instability of an axisymmetric inviscid compound liquid jet which falls vertically under the influence of gravity. We use a long-wavelength, slender-jet asymptotic expansion to reduce the governing equations of the problem into a set of one-dimensional partial differential equations, which describe the evolution of the leading-order axial velocity of the jet as well as the radii of both the inner and the outer interfaces. We first determine the steady-state solutions of the one-dimensional model equations and then we perform a linear temporal instability analysis to obtain a dispersion relation, which gives us useful inf...