On the absence of marginal pinching in thin free films
This paper concerns the drainage of a thin liquid lamella into a Plateau border. Many models for draining soap films assume that their gas-liquid interfaces are effectively immobile. Such models predict a phenomenon known as `marginal pinching', in which the film tends to pinch in the margin be...
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| 格式: | Journal article |
| 出版: |
2004
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| 总结: | This paper concerns the drainage of a thin liquid lamella into a Plateau border. Many models for draining soap films assume that their gas-liquid interfaces are effectively immobile. Such models predict a phenomenon known as `marginal pinching', in which the film tends to pinch in the margin between the lamella and the Plateau border. We analyse the opposite extreme, in which the gas-liquid interfaces are assumed to be stress-free. We show that no marginal pinching occurs in this case: the film always approaches a monotonic profile at large times. |
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