Waves on the Surface of an Ideal Incompressible Heavy Fluid under Wind Loads
- Authors: Zvyagin A.V.1, Sapunov K.V.1
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Affiliations:
- Faculty of Mechanics and Mathematics
- Issue: Vol 73, No 3 (2018)
- Pages: 67-72
- Section: Article
- URL: https://journals.rcsi.science/0027-1330/article/view/164538
- DOI: https://doi.org/10.3103/S0027133018320032
- ID: 164538
Cite item
Abstract
The gravity-forced motion of an ideal incompressible fluid of infinite depth is studied when a periodic pressure is applied to the surface of the fluid. This problem is solved on the basis of the small amplitude wave theory. The analytical solutions for the velocity potential, the velocity field, and the shape of the free surface are found. An expression for the horizontal force is obtained in the case of a traveling wave.
About the authors
A. V. Zvyagin
Faculty of Mechanics and Mathematics
Author for correspondence.
Email: zvsasha@rambler.ru
Russian Federation, Leninskie Gory, Moscow, 119899
K. V. Sapunov
Faculty of Mechanics and Mathematics
Email: zvsasha@rambler.ru
Russian Federation, Leninskie Gory, Moscow, 119899
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