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The entry of a falling film into a pool and the air-entrainment problem

Published online by Cambridge University Press:  20 April 2006

S. D. R. Wilson  and
A. F. Jones
S. D. R. Wilson
Affiliation:
Department of Mathematics, Manchester University
A. F. Jones
Affiliation:
Department of Mathematics, Manchester University
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Abstract

When a film of liquid runs down a vertical wall and enters a large pool a number of stationary horizontal ripples are observed on the film just above the point of entry. These ripples are explained and analysed by the method of matched expansions and the results have a bearing on more-complicated problems. Next the case when the wall itself is moving vertically downwards is analysed. This is of interest in roll-coating technology, where it is normally desired to achieve smooth entry of the descending film, without air entrainment. The paper gives sufficient conditions for smooth entry, and these are consistent with known experimental results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 128 , March 1983 , pp. 219 - 230
Copyright
© 1983 Cambridge University Press

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References

Bolton, B. & Middleman, S. 1980 Chem. Engng Sci. 35, 597.
Bretherton, F. P. 1961 J. Fluid Mech. 10, 166.
Cook, R. A. & Clark, R. H. 1973 Ind. Engng Chem. Fund. 12, 106.
Cullen, E. A. & Davidson, J. F. 1957 Trans. Faraday Soc. 53, 113.
Jones, A. F. & Wilson, S. D. R. 1978 J. Fluid Mech. 87, 263.
Ruschak, K. J. 1978 A.I.Ch.E. J. 24, 705.
Wilkinson, W. 1975 Chem. Engng Sci. 30, 1227.
Wilson, S. D. R. 1982 J. Engng Maths 16, 209.