Technical Papers
Oct 30, 2019

Wave Attenuation by Multiple Outer Porous Barriers in the Presence of an Inner Rigid Cylinder

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 146, Issue 1

Abstract

The wave forces acting on a rigid cylinder are investigated in the presence of multiple outer porous cylindrical barriers by assuming the linear water wave theory. A Bessel series solution is obtained for the boundary value problem by using the methods of eigenfunction expansion and least-squares approximation. Two configurations of outer porous barriers are considered, namely bottom-standing and surface-piercing. As a special case, the effect of fully extended barriers is studied. The wave loads exerted on the cylinders, free surface elevations, and flow distribution around the structures are computed and analyzed for different physical parameters. The present theory is ratified with the result available in the literature for a single fully extended outer porous barrier. The study reveals that the hydrodynamic forces exerted on the inner impermeable cylinder are reduced significantly as the number of outer porous barriers is increased. Thus, multiple outer fully extended or partial porous barriers can be set up to protect the inner rigid cylinder.

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Acknowledgments

The corresponding author gratefully acknowledges the financial support from the Science and Engineering Research Board, Dept. of Science and Technology, Govt. of India, through the CRG project (Award Number CRG/2018/004521).

References

Behera, H., S. Mandal, and T. Sahoo. 2013. “Oblique wave trapping by porous and flexible structures in a two-layer fluid.” Phys. Fluids 25 (11): 112110. https://doi.org/10.1063/1.4832375.
Behera, H., and C.-O. Ng. 2018. “Interaction between oblique waves and multiple bottom-standing flexible porous barriers near a rigid wall.” Meccanica 53 (4–5): 871–885. https://doi.org/10.1007/s11012-017-0789-8.
Behera, H., and T. Sahoo. 2014. “Gravity wave interaction with porous structures in two-layer fluid.” J. Eng. Math. 87 (1): 73–97. https://doi.org/10.1007/s10665-013-9667-0.
Behera, H., T. Sahoo, and C.-O. Ng. 2016. “Wave scattering by a partial flexible porous barrier in the presence of a step-type bottom topography.” Coastal Eng. J. 58 (3): 1650008. https://doi.org/10.1142/S057856341650008X.
Chakraborty, R., and B. Mandal. 2013. “Water wave scattering by an elastic thin vertical plate submerged in finite depth water.” J. Mar. Sci. Appl. 12 (4): 393–399. https://doi.org/10.1007/s11804-013-1209-7.
Chen, J., Y. Lin, Y. Lee, and C. Wu. 2011. “Water wave interaction with surface-piercing porous cylinders using the null-field integral equations.” Ocean Eng. 38 (2–3): 409–418. https://doi.org/10.1016/j.oceaneng.2010.11.006.
Chwang, A., and W. Li. 1983. “A piston-type porous wavemaker theory.” J. Eng. Math. 17 (4): 301–313. https://doi.org/10.1007/BF00040174.
Isaacson, M., S. Premasiri, and G. Yang. 1998. “Wave interactions with vertical slotted barrier.” J. Waterway, Port, Coastal, Ocean Eng. 124 (3): 118–126. https://doi.org/10.1061/(ASCE)0733-950X(1998)124:3(118).
Karmakar, D., and C. G. Soares. 2014. “Wave transformation due to multiple bottom-standing porous barriers.” Ocean Eng. 80 (Apr): 50–63. https://doi.org/10.1016/j.oceaneng.2014.01.012.
Koley, S., H. Behera, and T. Sahoo. 2015a. “Oblique wave trapping by porous structures near a wall.” J. Eng. Mech. 141 (3): 04014122. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000843.
Koley, S., R. Kaligatla, and T. Sahoo. 2015b. “Oblique wave scattering by a vertical flexible porous plate.” Stud. Appl. Math. 135 (1): 1–34. https://doi.org/10.1111/sapm.12076.
Lee, M., and A. Chwang. 2000. “Scattering and radiation of water waves by permeable barriers.” Phys. Fluids 12 (1): 54–65. https://doi.org/10.1063/1.870284.
Lee, W. K., and E. Y. Lo. 2002. “Surface-penetrating flexible membrane wave barriers of finite draft.” Ocean Eng. 29 (14): 1781–1804. https://doi.org/10.1016/S0029-8018(02)00007-0.
Li, Y., L. Sun, and B. Teng. 2003. “Wave action on double-cylinder structure with perforated outer wall.” In Proc., ASME 2003 22nd Int. Conf. on Offshore Mechanics and Arctic Engineering, 149–156. New York: ASME.
Li, Y., L. Sun, and B. Teng. 2004. “Wave interaction with an array of combined cylinders with solid interior column and porous exterior column.” In Proc., 6th Int. Society of Offshore and Polar Engineers (ISOPE) Pacific/Asia Offshore Mechanics Symp. Mountain View, CA: International Society of Offshore and Polar Engineers.
Liu, J., G. Lin, and J. Li. 2012. “Short-crested waves interaction with a concentric cylindrical structure with double-layered perforated walls.” Ocean Eng. 40 (Feb): 76–90. https://doi.org/10.1016/j.oceaneng.2011.12.011.
Lo, E. Y. 2000. “Performance of a flexible membrane wave barrier of a finite vertical extent.” Coastal Eng. J. 42 (2): 237–251. https://doi.org/10.1142/S0578563400000110.
Mandal, B., and D. Dolai. 1994. “Oblique water wave diffraction by thin vertical barriers in water of uniform finite depth.” Appl. Ocean Res. 16 (4): 195–203. https://doi.org/10.1016/0141-1187(94)90020-5.
Mandal, B., and R. Gayen. 2006. “Water wave scattering by bottom undulations in the presence of a thin partially immersed barrier.” Appl. Ocean Res. 28 (2): 113–119. https://doi.org/10.1016/j.apor.2006.06.002.
Mandal, S., H. Behera, and T. Sahoo. 2016. “Oblique wave interaction with porous, flexible barriers in a two-layer fluid.” J. Eng. Math. 100 (1): 1–31. https://doi.org/10.1007/s10665-015-9830-x.
Mandal, S., N. Datta, and T. Sahoo. 2013. “Hydroelastic analysis of surface wave interaction with concentric porous and flexible cylinder systems.” J. Fluids Struct. 42 (Oct): 437–455. https://doi.org/10.1016/j.jfluidstructs.2013.08.012.
Mandal, S., and T. Sahoo. 2015. “Axisymmetric gravity wave diffraction by flexible porous cylinder system in two-layer fluid.” Ocean Eng. 106 (Sep): 87–101. https://doi.org/10.1016/j.oceaneng.2015.06.059.
McIver, P. 1985. “Scattering of water waves by two surface-piercing vertical barriers.” IMA J. Appl. Math. 35 (3): 339–355. https://doi.org/10.1093/imamat/35.3.339.
Park, M.-S., and W. Koo. 2015. “Mathematical modeling of partial-porous circular cylinders with water waves.” Math. Prob. Eng. 2015: 1–19. https://doi.org/10.1155/2015/903748.
Reddy, M., and S. Neelamani. 1992. “Wave transmission and reflection characteristics of a partially immersed rigid vertical barrier.” Ocean Eng. 19 (3): 313–325. https://doi.org/10.1016/0029-8018(92)90032-Y.
Sahoo, T., A. T. Chan, and A. T. Chwang. 2000. “Scattering of oblique surface waves by permeable barriers.” J. Waterway, Port, Coastal, Ocean Eng. 126 (4): 196–205. https://doi.org/10.1061/(ASCE)0733-950X(2000)126:4(196).
Sankarbabu, K., S. Sannasiraj, and V. Sundar. 2007. “Interaction of regular waves with a group of dual porous circular cylinders.” Appl. Ocean Res. 29 (4): 180–190. https://doi.org/10.1016/j.apor.2008.01.004.
Song, H., and L. Tao. 2007. “Short-crested wave interaction with a concentric porous cylindrical structure.” Appl. Ocean Res. 29 (4): 199–209. https://doi.org/10.1016/j.apor.2008.01.001.
Su, W., J.-M. Zhan, and H. Huang. 2015. “Analysis of a porous and flexible cylinder in waves.” China Ocean Eng. 29 (3): 357–368. https://doi.org/10.1007/s13344-015-0025-z.
Twu, S., and D. Lin. 1991. “On a highly effective wave absorber.” Coastal Eng. 15 (4): 389–405. https://doi.org/10.1016/0378-3839(91)90018-C.
Williams, A., W. Li, and K.-H. Wang. 2000. “Water wave interaction with a floating porous cylinder.” Ocean Eng. 27 (1): 1–28. https://doi.org/10.1016/S0029-8018(98)00078-X.
Yip, T., T. Sahoo, and A. T. Chwang. 2002. “Trapping of surface waves by porous and flexible structures.” Wave Motion 35 (1): 41–54. https://doi.org/10.1016/S0165-2125(01)00074-9.
Yu, X. 1995. “Diffraction of water waves by porous breakwaters.” J. Waterway, Port, Coastal, Ocean Eng. 121 (6): 275–282. https://doi.org/10.1061/(ASCE)0733-950X(1995)121:6(275).
Yueh, C.-Y., C.-Y. Tu, C.-T. Chang, and S.-H. Chuang. 2018. “A new type of the porous concentric cylinder system with cosine-type cross section.” In Proc., 28th Int. Ocean and Polar Engineering Conf. Mountain View, CA: International Society of Offshore and Polar Engineers.
Zhong, Z., and K. Wang. 2006. “Solitary wave interaction with a concentric porous cylinder system.” Ocean Eng. 33 (7): 927–949. https://doi.org/10.1016/j.oceaneng.2005.05.013.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 146Issue 1January 2020

History

Received: Nov 28, 2018
Accepted: Apr 1, 2019
Published online: Oct 30, 2019
Published in print: Jan 1, 2020
Discussion open until: Mar 30, 2020

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Harekrushna Behera [email protected]
Research Assistant Professor, Dept. of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu 603203, India (corresponding author). Email: [email protected]
R. Gayathri [email protected]
Research Scholar, Dept. of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu 603203, India. Email: [email protected]
M.Sc. Student, Dept. of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Tamil Nadu 603203, India. ORCID: https://orcid.org/0000-0002-1276-4919. Email: [email protected]

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