Article Type

Research Article

Publication Title

International Journal of Applied Mechanics and Engineering

Abstract

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.

First Page

625

Last Page

644

DOI

10.2478/ijame-2019-0039

Publication Date

8-1-2019

Comments

Open Access, Gold

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