Journal of Marine Science and Application

, Volume 16, Issue 3, pp 261–275 | Cite as

Hydrodynamic characteristics of three rows of vertical slotted wall breakwaters

  • Majed O. Alsaydalani
  • Mohammed A. N. Saif
  • Medhat M. Helal


In this study, we examine the hydrodynamic characteristics of three rows of vertical slotted wall breakwaters in which the front and middle walls are permeable and partially immersed in a water channel of constant depth, whereas the third wall is impermeable. The wave–structure interaction and flow behavior of this type of breakwater arrangement are complicated and must be analyzed before breakwaters can be appropriately designed. To study the hydrodynamic breakwater performance, we developed a mathematical model based on the eigenfunction expansion method and a least squares technique for predicting wave interaction with three rows of vertical slotted wall breakwaters. We theoretically examined the wave transmission, reflection, energy loss, wave runup, and wave force under normal regular waves. Comparisons with experimental measurements show that the mathematical model results adequately reproduce most of the important features. The results of this investigation provide a better understanding of the hydrodynamic performance of triple-row vertical slotted wall breakwaters.


slotted breakwaters mathematical models transmission coefficient reflection coefficient energy-loss coefficient wave runup wave force 



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The authors would like to express their gratitude and appreciation to the King Abdul-Aziz City for Science and Technology, General Directorate of Research Grants Programs for offering the research grant to support this work, under the Project number “LGP-35-287.”

Acknowledgments are also due to the Civil Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University where the work was conducted. In addition, the authors would like to express their gratitude to the referees for their valuable comments that modified the form of the paper, and for carefully checking the manuscript.


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Copyright information

© Harbin Engineering University and Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Majed O. Alsaydalani
    • 1
  • Mohammed A. N. Saif
    • 1
  • Medhat M. Helal
    • 2
  1. 1.Civil Engineering DepartmentUmm Al-Qura UniversityMakkahSaudi Arabia
  2. 2.Department of Engineering Mathematics and PhysicsZagazig UniversityZagazigEgypt

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