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A non-linear analysis of steady surface waves on a thin sheet of viscous liquid flowing down an incline

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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

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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

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