3D-Problem of Wave Motion in a Fluid Around a Cone
Abstract
Stationary wave motion of an ideal non-compressible fluid in a domain limited by a free surface and an infinite cone with the vertex on a free surface is considered. Wave motion is caused by the bottom movement. The problem is set for the velocity potential within the framework of the linear dispersion theory. By means of integral transforms the solution of the problem is reduced to a functional equation which has a solution in the particular cases. In assumption of smallness of angle between liquid free surface and cone surface analytic solution of the problem which contains dependencies from inclination angle is made.
About the Author
A. N. Bestuzheva
Санкт-Петербургский государственный университет путей сообщения
Russian Federation
Russian Federation
References
1. Сретенский Л.Н. Теория волновых движений жидкости. М.: Наука, 1977. 816 с.
2. Стокер Д.Д. Волны на воде. М.: Изд-во иностр. лит., 1959. 617 с.
3. Бейтмен Г., Эрдейи А. Высшие трансцендентные функции. Т.1. Гипергеометрическая функция. Функции Лежандра. М.: Наука, 1973.296 с.
4. Бейтмен Г., Эрдейи А. Высшие трансцендентные функции. Т.2. Функции Бесселя, функции параболического цилиндра, ортогональные многочлены. М.: Наука, 1966. 296 с.
5. Кочин Н.Е. Собр. соч. Том 2. М.Л., 1949. С.105-182, 277-304.
6. АлешковЮ.З. Теория волн на поверхности тяжелой жидкости. Л.: ЛГУ, 1981. 196 с.
Review
For citations:
Bestuzheva A.N. 3D-Problem of Wave Motion in a Fluid Around a Cone. Fundamental and Applied Hydrophysics. 2010;(2):14-21. (In Russ.)
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