- Tytuł:
- Generation of surface waves due to initial axisymmetric surface disturbance in water with a porous bottom
- Autorzy:
-
Kundu, P.
Mandal, B. N. - Powiązania:
- https://bibliotekanauki.pl/articles/265312.pdf
- Data publikacji:
- 2019
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
transformata Laplace'a
powierzchnia porowata
transformata Henkel'a
axisymmetric surface disturbance
porous bottom
Laplace and Hankel transform
method of stationary phase
free surface depression - Opis:
- A two-dimensional Cauchy Poisson problem for water with a porous bottom generated by an axisymmetric initial surface disturbance is investigated here. The problem is formulated as an initial value problem for the velocity potential describing the motion in the fluid. The Laplace and Hankel transform techniques have been used in the mathematical analysis to obtain the form of the free surface in terms of a multiple infinite integral. This integral is then evaluated asymptotically by the method of stationary phase. The asymptotic form of the free surface is depicted graphically in a number of figures for different values of the porosity parameter and for different types of initial disturbances.
- Źródło:
-
International Journal of Applied Mechanics and Engineering; 2019, 24, 3; 625-644
1734-4492
2353-9003 - Pojawia się w:
- International Journal of Applied Mechanics and Engineering
- Dostawca treści:
- Biblioteka Nauki