Current issue
Archive
About the Journal
Editorial Policies
For Authors
3/2019 vol. 24
Stats
Get citation
ORIGINAL PAPER
Generation of Surface Waves Due to Initial Axisymmetric Surface Disturbance in Water with a Porous Bottom
P. Kundu 1
,
 
B.N. Mandal 2
 
 
 
More details
Hide details
1
Department of Mathematics, Jadavpur University, Kolkata-, 700032, India
 
2
Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B.T Road, Kolkata-, 700108, India
 
 
Online publication date: 2019-08-09
 
 
Publication date: 2019-09-01
 
 
International Journal of Applied Mechanics and Engineering 2019;24(3):625-644
DOI: https://doi.org/10.2478/ijame-2019-0039
 
 
Article (PDF)
References (8)
 
KEYWORDS
axisymmetric surface disturbance
porous bottom
Laplace and Hankel transform
method of stationary phase
free surface depression
 
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.
 
REFERENCES (8)
1.
Lamb H. (1945): Hydrodynamics. – New York: Dover.
Google Scholar
 
 
2.
Stoker J.J. (1957): Water Waves the Mathematical Theory with Applications. – New York: Interscience Publishers.
Google Scholar
 
 
3.
Jeffreys H. and Lapwood E.R. (1957): The reflexion of a pulse within a sphere. – Proc. Roy. Soc. A London, vol.241, pp.455-479.
Google Scholar
 
 
4.
Kranzer H.C. and Keller J.B. (1959): Water waves produced by explosions. – J. Appl. Phys., vol.30, pp.398–407.
Google Scholar
 
 
5.
Mandal B.N. and Mukherjee S. (1989): Water waves generated at an inertial surface by an axisymmetric initial surface disturbance. – Int. J. Math. Educ. Sci. Tech., vol.20, pp.743-747.
Google Scholar
 
 
6.
Maiti P. and Mandal B.N. (2005): Water waves generated due to initial axisymmetric disturbances in water with an ice-cover. – Arch. Appl. Mech., vol.74, pp.629-636.
Google Scholar
 
 
7.
Martha S.C., Bora S.N. and Chakrabarti A. (2007): Oblique water wave scattering by small undulation on a porous sea bed. – Appl. Ocean. Res., vol.29, pp.86-90.
Google Scholar
 
 
8.
Maiti P. and Mandal B.N. (2014): Water wave scattering by an elastic plate floating in an ocean with a porous bed. – Appl. Ocean. Res., vol.47, pp.73-84.
Google Scholar
 
 
Share
Send by email
Indexes
 
Keywords index
Topics index
Authors index
eISSN:2353-9003
ISSN:1734-4492
Journals System - logo
In the years 2019-2020, the International Journal of Applied Mechanics and Engineering is financed under contract no. 634/P-DUN/2019 by the Minister of Science and Higher Education from funds for science dissemination activities. The financing amounts to 83.500 PLN.
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2024 Journal hosting platform by Bentus
Scroll to top