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Stokes flow down a wall into an infinite pool

Published online by Cambridge University Press:  21 April 2006

Erik B. Hansen
Erik B. Hansen
Affiliation:
Laboratory of Applied Mathematical Physics, Technical University of Denmark, DK-2800, Lyngby, Denmark
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Abstract

The two-dimensional flow of a thin film down a vertical or tilted plane wall into an infinite pool is studied in the Stokes approximation, the principal aim being to determine the shape of the fluid surface. Results are obtained for fluids with or without surface tension. Earlier results by Ruschak, that the surface tension gives rise to thickness variation of the film, are confirmed. For small or vanishing surface tension a dip of the pool surface is found to exist close to the wall. The case of a wall moving downwards is also considered.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 178 , May 1987 , pp. 243 - 256
Copyright
© 1987 Cambridge University Press

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References

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