Linear instability of ultra-thin liquid films flowing down cylindrical fibre

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2Jr&qJRu S/ad0Linear instability of ultra-thin liquid films flowing down cylindrical fibre水利论文xr6y8p4E'`S

c:p0e8z y7{0Abstract:The stability characteristics of an ultra-thin layer of a viscous liquid flowing down a cylindrical fibre are investigated by a linear theory. The film with the thickness less than 100 nm i8 driven by an external force and under the influence of the van der Waals forces. The results show that, when the relative film thickness decreases, the curvature of the fibre depresses the development of the linear perturbations, whereas the van der Waals forces promote the instabilities. This competition results in a non-monotonous dependence of the growth rate on the relative film thickness. The critical curves are also obtained to describe the transition from the absolute instability to the convective instability, indicating that the van der Waals forces can enlarge the absolutely unstable region. Furthermore, the surface ten8ion can cause the development of the absolute instability, whereas the external force has an opposite effect.

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D1sE SA0Author:水利论文 i6M+|(Gf%t~

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Lu-hai-bo ZHAO Guo-hui HU Zhe-wei ZHOU

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作者单位:水利论文6S.h7B}+Q

F%V^ G{%GCK+E?T0Shanghai Institute of Applied Mathematics and Mechanics, Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P. R. China

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期 刊:

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应用数学和力学(英文版)

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Journal:

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:pa||.R`yn0APPLIED MATHEMATICS AND MECHANICS

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年,卷(期):

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2011, 32(2)水利论文d[}%B^%r8dd

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Keywords:水利论文lV'n6|;R7`s

-a8g ?.cb0V VT0cylindrical fibre

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ultra-thin film水利论文+H0j!gAFY4gKS2FcY4D

G/ajA ^5QBKX0van der Waals force水利论文*D FU6t;O)p W6b(O/H

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stability水利论文F&ss9HE"F k*V

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机标分类号:水利论文!o v]q t]

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Ag9JD/@H#WS7BI0absolute instability film thickness external force development convective instability forces results growth rate van influence der decreases opposite promote

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基金项目:水利论文1B1u8a dL"m x

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Project 8upported by the National Natural Science Foundation of China,the Innovation Program of Shanghai Municipal Education Commission,the Shanghai Program for Innovative Research Team in Universities水利论文2lF*k4e"t

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