Waves on the Surface of an Ideal Incompressible Heavy Fluid under Wind Loads


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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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