On liquid films on an inclined plate

Citation data:

Journal of Fluid Mechanics, ISSN: 0022-1120, Vol: 663, Page: 53-69

Publication Year:
2010
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Citations 14
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Repository URL:
http://hdl.handle.net/10754/599041
DOI:
10.1017/s002211201000337x
Author(s):
BENILOV, E. S.; CHAPMAN, S. J.; MCLEOD, J. B.; OCKENDON, J. R.; ZUBKOV, V. S.
Publisher(s):
Cambridge University Press (CUP)
Tags:
Engineering; Physics and Astronomy; interfacial flows (free surface); lubrication theory; oating
article description
This paper examines two related problems from liquid-film theory. Firstly, a steady-state flow of a liquid film down a pre-wetted plate is considered, in which there is a precursor film in front of the main film. Assuming the former to be thin, a full asymptotic description of the problem is developed and simple analytical estimates for the extent and depth of the precursor film's influence on the main film are provided. Secondly, the so-called drag-out problem is considered, where an inclined plate is withdrawn from a pool of liquid. Using a combination of numerical and asymptotic means, the parameter range where the classical Landau-Levich-Wilson solution is not unique is determined. © 2010 Cambridge University Press.