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首页> 外文期刊>Current Science: A Fortnightly Journal of Research >THE RAYLEIGH-TAYLOR INSTABILITY OF A VISCOUS FLUID LAYER WITH VISCOSITY STRATIFICATION
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THE RAYLEIGH-TAYLOR INSTABILITY OF A VISCOUS FLUID LAYER WITH VISCOSITY STRATIFICATION

机译：具有粘性分层的粘性流体层的Rayleigh-Taylor不稳定性

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摘要

The effects of viscosity stratification and surface tension on Rayleigh-Taylor (RT) instability in a finite thickness layer of an incompressible viscous fluid bounded above by a denser fluid and below by a rigid impermeable surface have been studied using linear stability analysis, A relation for the RT-instability growth rate is found by calculating the eigenvalues of the stability equation, It is shown that the shape of the dispersion curve is controlled by the ratio of surface tension to the stress gradient, with the layer thickness and the viscosity stratification affecting the rate of growth of the instability, The growth rate, infact, is shown to increase with increase in viscosity stratification and the thickness of the fluid layer, The results are shown to revert to those of the case of a viscous fluid layer in the absence of viscosity stratification. [References: 6]
机译：使用线性稳定性分析研究了粘度分层和表面张力对不可压缩粘性流体的有限厚度层中的瑞利-泰勒（RT）失稳的影响，该不可压缩粘性流体的上方是较稠密的流体，下方是刚性的不渗透表面。通过计算稳定性方程的特征值，可以得到RT-不稳定性的增长速率，结果表明，色散曲线的形状受表面张力与应力梯度的比值控制，层厚和粘度分层对材料的形貌有影响。不稳定性的增长速率，事实表明，增长速率随粘度分层和流体层厚度的增加而增加。结果表明，该结果可恢复为不存在粘性流体层情况下的结果。粘度分层。 [参考：6]

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