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

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

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Abstract: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.水利论文j n @6R U&i

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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 _!Sa u"HOK-B_

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Shanghai 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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APPLIED MATHEMATICS AND MECHANICS水利论文midYb8b;Cs"_

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年,卷(期):

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Keywords:

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-h4zZL}y?0cylindrical fibre水利论文/l G;Z H+j&k1N/U

:m g.Z RN0`7P0ultra-thin film水利论文.r%H%l @)X h*J

H~2f'H.R0van der Waals force

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stability水利论文f,W6O/K [%n2[:oL#W

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3Bn~r\0absolute instability film thickness external force development convective instability forces results growth rate van influence der decreases opposite promote

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m"B*n;RQ]*T1Q8hI$@0基金项目:

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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z1I&|OaP[M!c^W

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