Advances and Applications in Fluid Mechanics

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ANALYSIS ON THE REFLECTION OF SURFACE WATER WAVES BY A BENDED PLATE IN INFINITE DEPTH WATER

Authors

  • Partha Agasti

Keywords:

linear theory, velocity potential, bended plate, perturbation theory, inviscid liquid

DOI:

https://doi.org/10.17654/0973468625007

Abstract

The problem in the reflection of surface water waves that progress obliquely towards a bended plate, in infinite depth water, is considered with the help of linear theory. Here a simplified method is applied essentially on the perturbation technique, together with the application of the expansion of Havelock [1] of the potential of the water waves to address the problem. Considering two particular shapes of the bended plate, the corrections to the velocity potential and reflection coefficient of first order are enumerated.

Received: July 19, 2025
Revised: August 7, 2025
Accepted: August 19, 2025

References

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[3] J. J. Stoker, Surface waves in water of variable depth, Quart. Appl. Maths. 5 (1947), 1-54.

[4] J. J. Stoker, Water Waves, Interscience, New York, 1957.

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[6] L. Debnath and U. Basu, Capillary gravity waves against a vertical cliff, Indian J. Maths. 26 (1984), 49-56.

[7] B. N. Mandal and P. K. Kundu, Incoming water waves against a vertical cliff in an ocean, Proc. Ind. Nat. Sci. Acad. 55A (1989), 643-654.

[8] A. Chakrabarti, Obliquely incident water waves against a vertical cliff, Appl. Math. Lett. 5(1) (1992), 13-17.

[9] P. K. Kundu and P. Agasti, A note on the effect of the ST on the source potential in the presence of a vertical cliff, Acta. Mech. 191(3,4) (2007), 231-237.

[10] P. K. Kundu and P. Agasti, On the waves in two superposed liquids in the presence of a wall, Appl. Math. Letters 22(1) (2009), 115-120.

[11] D. C. Shaw, Perturbational results for diffraction of water waves by nearly vertical barriers, I MA J. Appl. Math. 34 (1985), 99-117.

[12] B. N. Mandal and S. K. Kar, Reflection of water waves by a nearly vertical wall, INT. J. Math. Educ. Sci. Tech. 23(5) (1992), 665-670.

[13] B. N. Mandal and A. Chakrabarti, A note on diffraction of water waves by a nearly vertical barrier, I MA J. Appl. Math. 43 (1989), 157-165.

[14] A. Chakrabarti, Capillary gravity waves against a corrugated vertical cliff, Appl. Sci. Res. 45 (1988), 303-317.

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Published

2025-10-06

Issue

Vol. 32 No. 2 (2025)

Section

Articles

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How to Cite

ANALYSIS ON THE REFLECTION OF SURFACE WATER WAVES BY A BENDED PLATE IN INFINITE DEPTH WATER. (2025). Advances and Applications in Fluid Mechanics, 32(2), 137-148. https://doi.org/10.17654/0973468625007