Anzeige
Erschienen in:
03.02.2021 | Original
Generation of surface waves due to initial axisymmetric surface disturbance in viscous fluid of finite depth
Erschienen in: Archive of Applied Mechanics | Ausgabe 5/2021
EinloggenAktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
The wave generation problem for viscous fluid of finite depth due to an axisymmetric initial surface disturbance is investigated here. Introducing the wave potential function \(\phi \) and Stoke’s stream function \(\psi \), the problem is formulated as an initial value problem to describe the motion in the fluid region. 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 steepest descent. The asymptotic form of the free surface is depicted graphically in a number of figures for different values of the viscous parameter and for different types of initial disturbances, and appropriate conclusions are made.