Capillary instability and breakup of a viscous thread
Capillary instability and breakup of a viscous thread
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毛细管不稳定性和粘性线的破裂
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
C. Pozrikidis
中科院分区：
文献类型：
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作者：
C. Pozrikidis
Papageorgiou得出了一个相似的解决方案，描述了一个薄的粘性线程悬浮在真空中的渐近行为，接近临界时间和周围的位置破裂。该运动由表面张力驱动，在整个演化过程中忽略了流体惯性。为了评估物理相关性的相似性解决方案，一个无限的线程浸入在环境中的流体具有任意粘度的演变，受到周期性轴对称扰动模拟通过解决方案的斯托克斯流动方程的边界积分方法。结果表明，当线程是悬浮在真空中，相似的解决方案准确地描述了在一个扩展长度的线程之间的发展隆起的变薄的过程，并捕获了广泛的初始条件下的解体的后期阶段。但是，少量的环境流体粘度，小至0.05倍的螺纹流体的粘度，通过将分裂点的位置向发展中的凸起的基部移动，并导致螺纹发展局部不对称形状，从而急剧改变运动的性质。
Papageorgiou derived a similarity solution that describes the asymptotic behavior of a thinning viscous thread suspended in vacuum, near the critical time and around the location of breakup. The motion is driven by surface tension, and the fluid inertia is neglected throughout the evolution. To assess the physical relevance of the similarity solution, the evolution of an infinite thread immersed in an ambient fluid with arbitrary viscosity, subject to periodic axisymmetrtic perturbations is simulated through solution of the equations of Stokes flow by a boundary integral method. The results show that when the thread is suspended in vacuum, the similarity solution accurately describes the process of thinning over an extended length of the thread between the developing bulges, and captures the late stages of breakup for a broad range of initial conditions. But a small amount of ambient fluid viscosity, as small as 0.05 times the viscosity of the thread fluid, drastically alters the nature of the motion by shifting the location of the breakup points toward the bases of developing bulges, and causing the thread to develop locally asymmetric shapes.