Skip to main content
SpringerLink
Log in

Interaction between oblique waves and multiple bottom-standing flexible porous barriers near a rigid wall

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

The interaction between oblique surface waves and multiple bottom-standing flexible porous barriers under the combined effects of a neighboring rigid vertical wall and a step of arbitrary profile on the bottom is investigated. The problem is analyzed under the assumptions of small-amplitude water waves and structural response. The solutions are found using the methods of least-squares approximation, eigenfunction expansion and multi-mode approximation associated with the modified mild-slope equation. To keep the barriers at a desired position of interest, clamped-free or clamped-moored edge conditions are considered. Effects of various wave and structural parameters are studied for single, double and multiple barriers by looking into the reflection coefficient, wave force exerted on the rigid wall, free-surface elevations, and plate deflection of the barriers. The model is validated by comparing with results available in the literature for the special case of wave interaction with single and double rigid porous barriers near a rigid wall in the presence of a vertical step. The study reveals that the presence of multiple flexible porous barriers may effectively reduce the wave reflection and wave force exerted on the rigid wall. Further, full and nearly zero wave reflection can be found in the case of single and/or multiple barriers.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Jarlan G (1961) A perforated vertical wall breakwater. Dock Harb Auth 41(486):394–398

    Google Scholar 

  2. Suh KD, Park WS (1995) Wave reflection from perforated-wall caisson breakwaters. Coast Eng 26(3):177–193

    Article  Google Scholar 

  3. Sahoo T, Lee M, Chwang A (2000) Trapping and generation of waves by vertical porous structures. J Eng Mech 126(10):1074–1082

    Article  Google Scholar 

  4. Li Y, Dong G, Liu H, Sun D (2003) The reflection of oblique incident waves by breakwaters with double-layered perforated wall. Coast Eng 50(1):47–60

    Article  Google Scholar 

  5. Teng B, Zhang X, Ning D (2004) Interaction of oblique waves with infinite number of perforated caissons. Ocean Eng 31(5):615–632

    Article  Google Scholar 

  6. Liu Y, Li Y-C, Teng B (2007) The reflection of oblique waves by an infinite number of partially perforated caissons. Ocean Eng 34(14):1965–1976

    Article  Google Scholar 

  7. Liu Y, Li Y, Teng B, Jiang J, Ma B (2008) Total horizontal and vertical forces of irregular waves on partially perforated caisson breakwaters. Coast Eng 55(6):537–552

    Article  Google Scholar 

  8. Huang Z, Li Y, Liu Y (2011) Hydraulic performance and wave loadings of perforated/slotted coastal structures: a review. Ocean Eng 38(10):1031–1053

    Article  Google Scholar 

  9. Behera H, Sahoo T (2014) Gravity wave interaction with porous structures in two-layer fluid. J Eng Math 87(1):73–97

    Article  MathSciNet  MATH  Google Scholar 

  10. Behera H, Kaligatla R, Sahoo T (2015) Wave trapping by porous barrier in the presence of step type bottom. Wave Motion 57:219–230

    Article  MathSciNet  Google Scholar 

  11. Liu Y, Li Y-C, Teng B (2016) Interaction between oblique waves and perforated caisson breakwaters with perforated partition walls. Eur J Mech B Fluids 56:143–155

    Article  MathSciNet  Google Scholar 

  12. Yip TL, Sahoo T, Chwang AT (2002) Trapping of surface waves by porous and flexible structures. Wave Motion 35(1):41–54

    Article  MATH  Google Scholar 

  13. Behera H, Mandal S, Sahoo T (2013) Oblique wave trapping by porous and flexible structures in a two-layer fluid. Phys Fluids (1994-present) 25(11):112110

    Article  ADS  Google Scholar 

  14. Kaligatla R, Koley S, Sahoo T (2015) Trapping of surface gravity waves by a vertical flexible porous plate near a wall. Zeitschrift für angewandte Mathematik und Physik 66(5):2677–2702

  15. Meylan MH (1995) A flexible vertical sheet in waves. Int J Offshore Polar Eng 5(02):105–110

    Google Scholar 

  16. Mandal BN, Chakrabarti A (2000) Water wave scattering by barriers. WIT Press/Computational Mechanics

  17. Lee WK, Lo EY (2002) Surface-penetrating flexible membrane wave barriers of finite draft. Ocean Eng 29(14):1781–1804

    Article  Google Scholar 

  18. Karmakar D, Bhattacharjee J, Soares CG (2013) Scattering of gravity waves by multiple surface-piercing floating membrane. Appl Ocean Res 39:40–52

    Article  Google Scholar 

  19. Karmakar D, Soares CG (2014) Wave transformation due to multiple bottom-standing porous barriers. Ocean Eng 80:50–63

    Article  Google Scholar 

  20. Hassan ULM, Meylan MH, Peter M (2009) Water-wave scattering by submerged elastic plates. Q J Mech Appl Math 62(3):321–344

    Article  MathSciNet  MATH  Google Scholar 

  21. Meylan MH, Bennetts LG, Peter MA (2017) Water-wave scattering and energy dissipation by a floating porous elastic plate in three dimensions. Wave Motion 70:240–250

  22. Das S, Sahoo T (2017) Hydroelastic analysis of very large floating structure over viscoelastic bed. Meccanica 52(8):1871–1887

  23. Behere H, Sahoo T, Ng C-O (2016) Wave scattering by a partial flexible porous barrier in the presence of a step-type bottom topography. Coast Eng J 58(3):1650008

  24. Koley S, Sahoo T (2017) Oblique wave scattering by horizontal floating flexible porous membrane. Meccanica 52(1–2):125–138

    Article  MathSciNet  Google Scholar 

  25. Chamberlain PG, Porter D (1995) The modified mild-slope equation. J Fluid Mech 291:393–407

    Article  ADS  MathSciNet  MATH  Google Scholar 

  26. Porter D, Staziker D (1995) Extensions of the mild-slope equation. J Fluid Mech 300:367–382

    Article  ADS  MathSciNet  MATH  Google Scholar 

  27. Yu X, Chwang AT (1994) Wave motion through porous structures. J Eng Mech 120(5):989–1008

    Article  Google Scholar 

  28. Magrab EB (1979) Vibrations of elastic structural members. Sijthoff and Noordhoff, Alphen aan den Rijn

    MATH  Google Scholar 

  29. Porter R, Porter D (2000) Water wave scattering by a step of arbitrary profile. J Fluid Mech 411:131–164

    Article  ADS  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. SRM Research Institute and Department of Mathematics, SRM University, Kattankulathur, Tamil Nadu, India

    H. Behera

  2. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Pokfulam, Hong Kong, China

    Chiu-On Ng

Authors
  1. H. Behera
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Chiu-On Ng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to H. Behera.

Ethics declarations

Conflict of interest

The authors declared that they have no conflict of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Behera, H., Ng, CO. Interaction between oblique waves and multiple bottom-standing flexible porous barriers near a rigid wall. Meccanica 53, 871–885 (2018). https://doi.org/10.1007/s11012-017-0789-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11012-017-0789-8

Keywords

Search

Navigation