Since 1963
ARTICLE
Long gravity waves in a canal with a corrugated bottom in the asymptotic description
| 1 | Institute of Geophysics, Polish Academy of Sciences, Warsaw, Poland |
| 2 | Institute of Fundamental Technological Research, PAS, Warsaw, Poland |
CORRESPONDING AUTHOR
Włodzimierz Bielski
Theoretical Geophysics, Institute of Geophysics, Księcia Janusza 64, 01-452, Warszawa, Poland
Theoretical Geophysics, Institute of Geophysics, Księcia Janusza 64, 01-452, Warszawa, Poland
Submission date: 2020-09-25
Final revision date: 2021-05-22
Acceptance date: 2021-06-11
Online publication date: 2021-06-27
Publication date: 2021-07-25
Journal of Theoretical and Applied Mechanics 2021;59(3):443–454
KEYWORDS
TOPICS
ABSTRACT
We consider the classic Lagrange long gravitational wave of a homogeneous incompressible
fluid in a shallow canal with a corrugated bottom. We use the asymptotic expansion method
to find the effective depth of a one-dimensional canal and, hence, the effective wave velocity.
A flow in a two-dimensional tank with a corrugated bottom is also studied by this method.
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