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On the approach to the critical solution in leading order thin-film coating and rimming flow

Tougher, C.H. and Wilson, S.K. and Duffy, B.R. (2009) On the approach to the critical solution in leading order thin-film coating and rimming flow. Applied Mathematics Letters, 22 (6). pp. 882-886. ISSN 0893-9659

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Abstract

The approach to the critical solution in leading order coating and rimming flow of a thin fluid film on a uniformly rotating horizontal cylinder is investigated. In particular, it is shown that the weight of the leading order 'full film' solution approaches its critical maximum value with logarithmically infinite slope as the volume flux approaches its critical value.