Howell, P. D. and Stone, H. A. (2004) On the absence of marginal pinching in thin free films. European Journal of Applied Mathematics . (Submitted)
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.
|Subjects:||D - G > Fluid mechanics|
|Research Groups:||Oxford Centre for Industrial and Applied Mathematics|
|Deposited By:||Peter Howell|
|Deposited On:||09 Sep 2004|
|Last Modified:||20 Jul 2009 14:18|
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