Summary
A thin sheet of viscous liquid flows slowly down an uneven incline. The main conclusion derived in this paper is that the only effect of a variation in the bed from that of a uniform slope is noticed in the upstream direction; the flow has constant depth downstream from this variation.
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References
J. J. Stoker,Water Waves, Interscience, New York, (1957).
C. C. Mei,J. of Maths and Physics, 45 (1966) 266–88.
P. Smith,J. of Eng. Maths, 1 (1967) 273–84.
R. Berker,Handbuch der Physik, 8/2, Springer, Berlin (1963).
P. Smith,J. of Eng. Maths, 3 (1969) 181–187.
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Smith, S.H. A non-linear analysis of steady surface waves on a thin sheet of viscous liquid flowing down an incline. J Eng Math 3, 173–179 (1969). https://doi.org/10.1007/BF01535166
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DOI: https://doi.org/10.1007/BF01535166