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Multiple Nonlinear Regression Analysis for the Stability of Non-overtopping Perforated Quarter Circle Breakwater

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Abstract

Breakwaters have been built throughout the centuries for the coastal protection and the port development, but changes occurred in their layout and criteria used for the design. Quarter circle breakwater (QBW) is a new type evolved having advantages of both caisson type and perforated type breakwaters. The present study extracts the effect of change in the percentage of perforations on the stable conditions of seaside perforated QBW by using various physical models. The results were graphically analyzed using dimensionless parameters and it was concluded that there is a reduction in dimensionless stability parameter with an increase in steepness of the wave and change in water depth to the height of breakwater structure. Multiple non–linear regression analysis was done and the equation for the best fit curve with a higher regression coefficient was obtained by using Excel statistical software—XLSTAT.

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Abbreviations

S/D :

Spacing between perforations/diameter of perforations

H i :

incident wave height

D :

depth of water

g :

acceleration due to gravity

T :

wave period

L :

wave length

W :

weight of QBW per unit length

h s :

height of structure

γ :

weight density

d/h s :

relative water depth

H i /gT 2 :

incident wave steepness parameter

W/γH i 2 :

stability parameter

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Acknowledgments

The authors are thankful to Director, NITK Surathkal and the Head of Applied Mechanics Department, NITK Surathkal for all the support and encouragement in the preparation of this paper.

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Authors and Affiliations

  1. Department of Civil Engineering, Shinas College of Technology, Sultanate of Oman & formerly Research Scholar, Department of Applied Mechanics & Hydraulics, National Institute of Technology Karnataka, Surathkal, Mangalore, India

    S. Binumol

  2. Department of Applied Mechanics & Hydraulics, National Institute of Technology Karnataka, Surathkal, Mangalore, India

    Subba Rao & Arkal Vittal Hegde

Authors
  1. S. Binumol
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  2. Subba Rao
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  3. Arkal Vittal Hegde
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Corresponding author

Correspondence to S. Binumol.

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Article Highlights

• Stability of perforated quarter circle breakwater based on physical models and empirical approaches is studied.

• An equation is developed for the stability parameter using the multiple nonlinear regression analysis.

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Binumol, S., Rao, S. & Hegde, A.V. Multiple Nonlinear Regression Analysis for the Stability of Non-overtopping Perforated Quarter Circle Breakwater. J. Marine. Sci. Appl. 19, 293–300 (2020). https://doi.org/10.1007/s11804-020-00145-3

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  • DOI: https://doi.org/10.1007/s11804-020-00145-3

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