Influence of surface tension on two fluids shearing instability

IF 1.2 Q3 PHYSICS, MULTIDISCIPLINARY

Papers in Physics Pub Date : 2014-11-25 DOI:10.4279/PIP.060006

R. Banerjee, S. Kanjilal

引用次数: 0

Abstract

Using extended Layzer's potential flow model, we investigate the effects of surface tension on the growth of the bubble and spike in combined Rayleigh-Taylor and Kelvin-Helmholtz instability. The nonlinear asymptotic solutions are obtained analytically for the velocity and curvature of the bubble and spike tip. We find that the surface tension decreases the velocity but does not affect the curvature, provided surface tension is greater than a critical value. For a certain condition, we observe that surface tension stabilizes the motion. Any perturbation, whatever its magnitude, results stable with nonlinear oscillations. The nonlinear oscillations depend on surface tension and relative velocity shear of the two fluids. Received: 20 March 2014, Accepted: 7 August 2014; Edited by: A. Marti; DOI: http://dx.doi.org/10.4279/PIP.060006 Cite as: R Banerjee, S Kanjilal, Papers in Physics 6, 060006 (2014)

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表面张力对两种流体剪切不稳定性的影响

利用扩展的Layzer势流模型，我们研究了表面张力对瑞利-泰勒和开尔文-亥姆霍兹复合不稳定性中气泡和尖峰生长的影响。得到了气泡和尖刺的速度和曲率的非线性渐近解。我们发现，如果表面张力大于一个临界值，表面张力会降低速度，但不会影响曲率。在一定条件下，我们观察到表面张力使运动稳定。任何扰动，无论其大小如何，都会产生稳定的非线性振荡。非线性振荡取决于两种流体的表面张力和相对速度剪切。收稿日期:2014年3月20日，收稿日期:2014年8月7日;编辑:A. Marti;引用全文:R Banerjee, S Kanjilal, Papers in Physics 6, 060006 (2014)

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来源期刊

Papers in Physics PHYSICS, MULTIDISCIPLINARY-

CiteScore

1.90

自引率

0.00%

发文量

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