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Reflection of water waves by a nearly vertical porous wall

  • A. Chakrabarti (a1) and T. Sahoo (a1)

Abstract

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.

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References

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[1] Chakrabarti, A., “A note on the porous-wavemaker problem”, Acta Mechanica 77 (1989) 121129.
[2] Chwang, A. T., “A porous wavemaker theory”, J. Fluid Mechanics 132 (1983) 395406.
[3] Friedman, B., Principles and techniques of applied mathematics (John Wiley & Sons, 1956).
[4] Kachoyan, P. J. and McKee, W. D., “Wave forces on steeply sloping sea walls”, J. Eng. Math. 19 (1985) 351362.
[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) 157165.
[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) 665670.
[7] Shaw, D. C., “Perturbational results for diffraction of water waves by nearly vertical barriers”, IMA J. Appl. Math. 33 (1985) 99117.
[8] Sneddon, I. N., The use of integral transforms (Tata McGraw Hill, New Delhi, 1974) 7075.
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