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Hydrodynamics of asymmetrical film thinning
Author(s) -
Jeelani Shaik A. K.,
Hartland Stanley
Publication year - 1984
Publication title -
the canadian journal of chemical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.404
H-Index - 67
eISSN - 1939-019X
pISSN - 0008-4034
DOI - 10.1002/cjce.5450620103
Subject(s) - thinning , drainage , regular polygon , liquid drop , geology , drop (telecommunication) , mechanics , geometry , mathematics , physics , engineering , telecommunications , ecology , biology
The thinning of the film beneath a liquid drop is often faster than predicted by radial drainage. This could be explained by asymmetrical drainage, but mathematical difficulties are then encountered. However, analytical solutions may be obtained for the two‐dimensional case and expressions are derived here for the asymmetric viscous drainage of films trapped between convex and concave wedges. Solutions for the symmetrical drainage beneath wedges and parabolae are also presented which are analogous to the three‐dimensional drainage beneath cones and paraboloids previously derived.