Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-17T03:15:56.571Z Has data issue: false hasContentIssue false
  • English
  • Français

Reflection of water waves by a nearly vertical porous wall

Published online by Cambridge University Press:  17 February 2009

A. Chakrabarti  and
T. Sahoo
A. Chakrabarti
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India.
T. Sahoo
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The problem of reflection of water waves by a nearly vertical porous wall has been investigated. A perturbational analysis has been applied for the first order correction to be employed to the corresponding vertical wall problem. The Green's function technique has been used to obtain the solution of the boundary value problem at hand, after utilising a mixed Fourier transform together with an idea involving the regularity of the transformed function along the real axis. The cases of fluid of finite as well as infinite depth have been taken into consideration. Particular shapes of the wall have been considered and numerical results are also discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 3 , January 1996 , pp. 417 - 429
Copyright
Copyright © Australian Mathematical Society 1996

References

[1] Chakrabarti, A., “A note on the porous-wavemaker problem”, Acta Mechanica 77 (1989) 121–129.CrossRefGoogle Scholar
[2] Chwang, A. T., “A porous wavemaker theory”, J. Fluid Mechanics 132 (1983) 395–406.CrossRefGoogle Scholar
[3] Friedman, B., Principles and techniques of applied mathematics (John Wiley & Sons, 1956).Google Scholar
[4] Kachoyan, P. J. and McKee, W. D., “Wave forces on steeply sloping sea walls”, J. Eng. Math. 19 (1985) 351–362.CrossRefGoogle Scholar
[5] Mandal, B. N. and Chakrabarti, A., “A note on diffraction of water waves by a nearly vertical barrier”, IMA J. Appl. Math. 43 (1989) 157–165.CrossRefGoogle Scholar
[6] Mandal, B. N. and Kar, S. K., “Reflection of water waves by a nearly vertical wall”, Int'l. J. Math. Educ. Sci. and Technology 23 (5) (1992) 665–670.CrossRefGoogle Scholar
[7] Shaw, D. C., “Perturbational results for diffraction of water waves by nearly vertical barriers”, IMA J. Appl. Math. 33 (1985) 99–117.CrossRefGoogle Scholar
[8] Sneddon, I. N., The use of integral transforms (Tata McGraw Hill, New Delhi, 1974) 70–75.Google Scholar