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

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8j [Va{:}0Linear instability of ultra-thin liquid films flowing down cylindrical fibre水利论文&O:HFO'U lO

.[n-R c cIo N0Abstract: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8lg@;h,I,A%VN8b

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Author:水利论文#f*D[['Zbi

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

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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水利论文3[Qc e2[#T,[1qu

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APPLIED MATHEMATICS AND MECHANICS

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Keywords:水利论文:ry]!G yE7m

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cylindrical fibre

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Ub"{/R8`(D&H0stability

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机标分类号:

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机标关键词:

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absolute instability film thickness external force development convective instability forces results growth rate van influence der decreases opposite promote水利论文Q[*~6q)K:`;PCLJ

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基金项目:

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$e4k3LKJ_v M@0Project 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Q,uf/t:S S

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