Short surface waves in a canal: dependence of frequency on curvature
1974; Cambridge University Press; Volume: 63; Issue: 01 Linguagem: Inglês
10.1017/s0022112074001078
ISSN1469-7645
Autores Tópico(s)Aeolian processes and effects
ResumoDavis has shown by means of a lengthy calculation that, for two-dimensional oscillations in a canal of width 2a, the mth eigenvalue has the form \[ N_m = {\textstyle\frac{1}{2}}m\pi - \frac{\lambda_1+\lambda_2}{4m\pi}+o\bigg(\frac{1}{m}\bigg), \] where λ1/a and λ2/a are the curvatures of the bounding cross-sectional curve C at its vertical intersections with the free surface. Here the same result is obtained more simply.
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