On the asymptotic analysis of surface-stress-driven thin-layer flow (Q5936120)

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scientific article; zbMATH DE number 1613139
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On the asymptotic analysis of surface-stress-driven thin-layer flow
scientific article; zbMATH DE number 1613139

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    On the asymptotic analysis of surface-stress-driven thin-layer flow (English)
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    28 November 2002
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    The author derives an interesting and important estimate on the coating thickness for a liquid being drawn from a bath. This formula is based on numerical calculations and on asymptotic expansions of solutions of appropriate linearizations of an equation considered in the lubrication theory. In the second part, the author studies the substrates that are not perfectly wetted. It turns out that no perfect wetting implies to stop the stress-driven flow. This result is in good agreement with experimental results.
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    thin-layer flow
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    Marangoni effect
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    finite contact angle
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    numerical simulation
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    non-perfect wetting
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    coating thickness
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    asymptotic expansions
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    linearizations
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    lubrication theory
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    stress-driven flow
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