Summary
The generation of steady surface waves on a viscous liquid flowing down an irregular inclined plane is investigated in the shallow-liquid approximation. A non-linear differential equation gives the surface elevation and a numerical solution is presented for a periodic two-dimensional flow. Linearisation of this equation enables three-dimensional small-amplitude disturbances to be considered.
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References
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Smith, P. On steady long waves on a viscous liquid at small Reynolds number. J Eng Math 3, 181–187 (1969). https://doi.org/10.1007/BF01535167
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DOI: https://doi.org/10.1007/BF01535167