Technical Papers
Mar 19, 2018

Oblique Water-Wave Scattering by Two Thick Submerged-Horizontal Plates in a Two-Layer Fluid

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 144, Issue 4

Abstract

This paper analyzes the problem of oblique water-wave scattering by two thick submerged-horizontal plates in a two-layer fluid. The analysis is based on the small-amplitude water-wave theory in water of finite depth. The solution of the associated boundary value problem was derived through the matched eigenfunction expansion method. Numerical results for the reflection energies of surface and internal waves were computed and analyzed in various configurations. The effects of the geometrical parameters—the submergence, thickness, and length of the submerged plates, and the distance between them—on the reflection energies in surface and internal modes (SM and IM, respectively) are discussed in detail. The study shows that, when the interface lies between the two plates, the largest reflection energies are found in both modes. The numerical results were compared with those available in the literature, and were found to be in good agreement. The energy relation was also derived, and the numerical results were found to satisfy this relation accurately.

Get full access to this article

View all available purchase options and get full access to this article.

References

Abul-Azm, A. G. 1994. “Diffraction through wide submerged breakwaters under oblique waves.” Ocean Eng. 21(7): 683–706.
Behera, H., S. Koley, and T. Sahoo. 2015. “Wave transmission by partial porous structures in two-layer fluid.” Eng. Anal. Boundary Elem. 58: 58–78.
Cadby, J. R., and C. M. Linton. 2000. “Three-dimensional water-wave scattering in two-layer fluids.” J. Fluid Mech. 423: 155–173.
Cheong, H.-F., and M. Patarapanich. 1992. “Reflection and transmission of random waves by a horizontal double-plate breakwater.” Coastal Eng. 18(1–2): 63–82.
Cheong, H.-F., N. J. Shankar, and S. Nallayarasu. 1996. “Analysis of submerged platform breakwater by eigenfunction expansion method.” Ocean Eng. 23(8): 649–666.
Kanoria, M. 1999. “Water wave scattering by a submerged thick wall with a gap.” Appl. Ocean Res. 21(2): 69–80.
Kumar, P. S., J. Bhattacharjee, and T. Sahoo. 2007. “Scattering of surface and internal waves by rectangular dikes.” J. Offshore Mech. Arct. Eng. 129(4): 306–317.
Lamb, H. 1932. Hydrodynamics. Cambridge, UK: Cambridge University Press.
Linton, C. M., and J. R. Cadby. 2002. “Scattering of oblique waves in a two-layer fluid.” J. Fluid Mech. 461: 343–364.
Linton, C. M., and M. McIver. 1995. “The interaction of waves with horizontal cylinders in two-layer fluids.” J. Fluid Mech. 304(1): 213–229.
Liu, P. L.-F., and M. Iskandarani. 1991. “Scattering of short-wave groups by submerged horizontal plate.” J. Waterway, Port, Coastal, Ocean Eng., 235–246.
Liu, Y., Y.-C. Li, and B. Teng. 2009. “Wave motion over two submerged layers of horizontal thick plates.” J. Hydrodyn. Ser. B. 21(4): 453–462.
Mandal, B. N., and M. Kanoria. 2000. “Oblique wave-scattering by thick horizontal barriers.” J. Offshore Mech. Arct. Eng. 122(2): 100–108.
Neelamani, S., and T. Gayathri. 2006. “Wave interaction with twin plate wave barrier.” Ocean Eng. 33(3–4): 495–516.
Neelamani, S., and M. S. Reddy. 1992. “Wave transmission and reflection characteristics of a rigid surface and submerged horizontal plate.” Ocean Eng. 19(4): 327–341.
Patarapanich, M. 1984. “Maximum and zero reflection from submerged plate.” J. Waterway, Port, Coastal, Ocean Eng., 171–181.
Patarapanich, M., and H.-F. Cheong. 1989. “Reflection and transmission characteristics of regular and random waves from a submerged horizontal plate.” Coastal Eng. 13(2): 161–182.
Porter, R. 2015. “Linearised water wave problems involving submerged horizontal plates.” Appl. Ocean Res. 50: 91–109.
Sherief, H. H., M. S. Faltas, and E. I. Saad. 2004. “Axisymmetric gravity waves in two-layered fluids with the upper fluid having a free surface.” Wave Motion. 40(2): 143–161.
Siew, P. F., and D. G. Hurley. 1977. “Long surface waves incident on a submerged horizontal plate.” J. Fluid Mech. 83(1): 141–151.
Ten, I., and M. Kashiwagi. 2004. “Hydrodynamics of a body floating in a two-layer fluid of finite depth. Part 1. Radiation problem.” J. Mar. Sci. Technol. 9(3): 127–141.
Ting, F. C. K., and F. Raichlen. 1988. “Wave interaction with rectangular trench in density-stratified fluid.” J. Waterway, Port, Coastal, Ocean Eng., 615–636.
Usha, R., and T. Gayathri. 2005. “Wave motion over a twin-plate breakwater.” Ocean Eng. 32(8–9): 1054–1072.
Wang, K.-H., and Q. Shen. 1999. “Wave motion over a group of submerged horizontal plates.” Int. J. Eng. Sci. 37(6): 703–715.
Wang, Y., G. Wang, and G. Li. 2006. “Experimental study on the performance of the multiple-layer breakwater.” Ocean Eng. 33(13): 1829–1839.
Wehausen, J. V., and E. V. Laitone. 1960. “Surface waves.” In Encyclopedia of physics. Vol. 9. 446–778. Berlin: Springer-Verlag.
Yu, X. P. 2002. “Functional performance of a submerged and essentially horizontal plate for offshore wave control: A review.” Coastal Eng. J. 44(2): 127–147.
Yuan, Y., J. Li, and Y. Cheng. 2007. “Validity ranges of interfacial wave theories in a two-layer fluid system.” Acta Mech. Sinica. 23(6): 597–607.
Zheng, Y. H., P. F. Liu, Y. M. Shen, B. J. Wu, and S. W. Sheng. 2007. “On the radiation and diffraction of linear water waves by an infinitely long rectangular structure submerged in oblique seas.” Ocean Eng. 34(3–4): 436–450.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 144Issue 4July 2018

History

Received: Jul 6, 2016
Accepted: Nov 10, 2017
Published online: Mar 19, 2018
Published in print: Jul 1, 2018
Discussion open until: Aug 19, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Graduate Student, Instituto de Ingeniería, UNAM Cd Univ., Ciudad de México, 04510, México (corresponding author). ORCID: https://orcid.org/0000-0002-0666-9472. Email: [email protected]
Professor, Instituto de Ingeniería, UNAM Cd Univ., Ciudad de México, 04510, México. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share