Kundu, Prabir Kumar ; Mandal, B.N.
Generation of surface waves due to initial axisymmetric surface disturbance in water with a porous bottom
Group publication title:
Subject and Keywords:
axisymmetric surface disturbance ; porous bottom ; Laplace and Hankel transform ; method of stationary phase ; free surface depression
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.
Zielona Góra: Uniwersytet Zielonogórski
JAME, volume 24, number 3 (2019)