Wave Interaction with Horizontal Multilayer Porous Plates
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 148, Issue 5
Abstract
An analytical model for the horizontal multilayer porous plates has been developed based on linear potential theory. Energy dissipation across the horizontal porous plates is considered with an equivalent linearized porous boundary condition, and porosity-dependent drag coefficient estimated by CFD solutions. The hydrodynamic performance of the horizontal multilayer porous plates is assessed by estimating the reflection, transmission, energy loss coefficients, as well as wave force on each porous plate. The developed analytical model is verified by comparing with experimental and CFD-based numerical results. The parametric study with several key parameters such as porosity, submergence depth, number of plates, and their combination is performed in detail to search for the optimal design of the horizontal multilayer plates suitable for the development of eco-friendly wave barrier. It is concluded that a significant reduction in the wave transmission and high energy dissipation can be achieved by the dual-plate configuration with appropriate porosities and submergence depths, compared to the single- and triple-plate configurations.
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Acknowledgments
This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B04035231).
References
Bennett, G. S., P. McIver, and J. V. Smallman. 1992. “A mathematical model of a slotted wavescreen breakwater.” Coastal Eng. 18 (3–4): 231–249. https://doi.org/10.1016/0378-3839(92)90021-L.
Cho, I. H., and M. H. Kim. 2000. “Interactions of horizontal porous flexible membrane with waves.” J. Waterway, Port, Coastal, Ocean Eng. 126 (5): 245–253. https://doi.org/10.1061/(ASCE)0733-950X(2000)126:5(245).
Cho, I. H., and M. H. Kim. 2008. “Wave absorbing system using inclined perforated plates.” J. Fluid Mech. 608: 1–20. https://doi.org/10.1017/S0022112008001845.
Cho, I. H., H. J. Koh, J. R. Kim, and M. H. Kim. 2013. “Wave scattering by dual submerged horizontal porous plates.” Ocean Eng. 73: 149–158. https://doi.org/10.1016/j.oceaneng.2013.08.008.
Chwang, A. T., and A. T. Chan. 1998. “Interaction between porous media and wave motion.” Annu. Rev. Fluid Mech. 30 (1): 53–84. https://doi.org/10.1146/annurev.fluid.30.1.53.
Chwang, A. T., and J. Wu. 1994. “Wave scattering by submerged porous disk.” J. Eng. Mech. 120 (12): 2575–2587. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:12(2575).
Crowley, S., and R. Porter. 2012. “The effect of slatted screens on waves.” J. Eng. Math. 76 (1): 33–57. https://doi.org/10.1007/s10665-011-9529-6.
Cummins, C., I. M. Viola, E. Mastropaolo, and N. Nakayama. 2017. “The effect of permeability on the flow past permeable disks at low Reynolds numbers.” Physics Fluids 29 (9): 097103. https://doi.org/10.1063/1.5001342.
Fang, Z., L. Xiao, and T. Peng. 2017. “Generalized analytical solution to wave interaction with submerged multi-layer horizontal porous plate breakwaters.” J. Eng. Math. 105 (1): 117–135. https://doi.org/10.1007/s10665-016-9886-2.
George, A., and I. H. Cho. 2020. “Hydrodynamic performance of a vertical slotted breakwater.” Int. J. Nav. Archit. Ocean Eng. 12: 468–478. https://doi.org/10.1016/j.ijnaoe.2019.12.001.
Huang, Z., F. He, and W. Zhang. 2014. “A floating box-type breakwater with slotted barriers.” J. Hydraul. Res. 52 (5): 720–727. https://doi.org/10.1080/00221686.2014.888690.
Huang, Z., Y. Li, and Y. Liu. 2011. “Hydraulic performance and wave loadings of perforated/slotted coastal structures: A review.” Ocean Eng. 38 (10): 1031–1053. https://doi.org/10.1016/j.oceaneng.2011.03.002.
Laws, E. M., and J. L. Livesey. 1978. “Flow through screens.” Annu. Rev. Fluid Mech. 10 (1): 247–266. https://doi.org/10.1146/annurev.fl.10.010178.001335.
Liu, J., W. Zhong, and K. Shen. 2013. “Wave chamber of ultra large floating system.” In Proc., 23rd Int. Offshore and Polar Engineering Conf. Richardson, TX: OnePetro.
Liu, P. L., and M. Abbaspour. 1982. “Wave scattering by a rigid thin barrier.” J. Waterway, Port, Coastal, Ocean Div. 108 (4): 479–491. https://doi.org/10.1061/JWPCDX.0000319.
Liu, Y., H. J. Li, and Y. C. Li. 2012a. “A new analytical solution for wave scattering by a submerged horizontal porous plate with finite thickness.” Ocean Eng. 42: 83–92. https://doi.org/10.1016/j.oceaneng.2012.01.001.
Liu, Y., Y. C. Li, and B. Teng. 2007. “Wave interaction with a perforated wall breakwater with a submerged horizontal porous plate.” Ocean Eng. 34 (17–18): 2364–2373. https://doi.org/10.1016/j.oceaneng.2007.05.002.
Liu, Y., Y. C. Li, B. Teng, and S. Dong. 2008. “Wave motion over a submerged breakwater with an upper horizontal porous plate and a lower horizontal solid plate.” Ocean Eng. 35 (16): 1588–1596. https://doi.org/10.1016/j.oceaneng.2008.08.003.
Liu, Y., Z. L. Yao, and L. Q. Xie. 2012b. “Analysis of wave interaction with a submerged double-layer horizontal porous plate breakwater.” In Proc., 22nd Int. Offshore and Polar Engineering Conf. Richardson, TX: OnePetro.
Mackay, E., and L. Johanning. 2020. “Comparison of analytical and numerical solutions for wave interaction with a vertical porous barrier.” Ocean Eng. 199: 107032. https://doi.org/10.1016/j.oceaneng.2020.107032.
Mansard, E. P., and E. R. Funke. 1980. “The measurement of incident and reflected spectra using a least squares method.” In Proc., 17th Int. Conf. on Coastal Engineering, 154–172. Reston, VA: ASCE.
Mei, C. C. 1989. Vol. 1 of The applied dynamics of ocean surface waves. Singapore: World Scientific.
Mei, C. C., P. L. Liu, and A. T. Ippen. 1974. “Quadratic loss and scattering of long waves.” J. Waterways, Harbors Coastal Eng. Div. 100 (3): 217–239. https://doi.org/10.1061/AWHCAR.0000245.
Molin, B. 1992. “Motion damping by slotted structures. Hydrodynamics: Computations, model tests and reality.” In Vol. 10 of Developments in marine technology, edited by H. J. J. van den Boom, 297–303. Amsterdam, Netherlands: Elsevier.
Molin, B. 2011. “Hydrodynamic modeling of perforated structures.” Appl. Ocean Res. 33 (1): 1–11. https://doi.org/10.1016/j.apor.2010.11.003.
Naskar, S., S. Kundu, and R. Gayen. 2021. “An integral equation method for wave scattering by a pair of horizontal porous plates.” In Topics in integral and integro-differential equations, edited by H. Singh, H. Dutta, and M. M. Cavalcanti, 229–255. Cham, Switzerland: Springer.
Peric, M. 2017. Best practices for flow simulations with waves, star global conference. Berlin: Siemens AG.
Poguluri, S. K., and I. H. Cho. 2019. “Liquid sloshing in a rectangular tank with vertical slotted porous screen: Based on analytical, numerical, and experimental approach.” Ocean Eng. 189: 106373. https://doi.org/10.1016/j.oceaneng.2019.106373.
Poguluri, S. K., and I. H. Cho. 2021a. “Analytical and numerical study of wave interaction with a vertical slotted barrier.” Ships Offshore Struct. 16 (9): 1012–1024.
Poguluri, S. K., and I. H. Cho. 2021b. “Wave dissipation over a horizontal slotted plate with a leeside vertical seawall: Analytical and numerical approaches.” Coastal Eng. J. 63 (1): 52–67. https://doi.org/10.1080/21664250.2020.1850396.
Poguluri, S. K., A. George, J. Kim, and I. H. Cho. 2021a. “Hydrodynamic performance of a submerged horizontal porous wave barrier.” Ocean Eng. 239: 109641. https://doi.org/10.1016/j.oceaneng.2021.109641.
Poguluri, S. K., J. Kim, A. George, and I. H. Cho. 2021b. “Experimental and numerical investigation of a surface-fixed horizontal porous wave barrier.” Ocean Syst. Eng. 11 (1): 1–16.
Sollitt, C. K., and R. H. Cross. 1972. “Wave transformation through permeable breakwaters.” In Vol. 1846 of Proc., 13th Int. Conf. on Coastal Engineering. Reston, VA: ASCE.
Tait, M. J., A. A. El Damatty, N. Isyumov, and M. R. Siddique. 2005. “Numerical flow models to simulate tuned liquid dampers (TLD) with slat screens.” J. Fluids Struct. 20 (8): 1007–1023. https://doi.org/10.1016/j.jfluidstructs.2005.04.004.
Yip, T. L., and A. T. Chwang. 1998. “Water wave control by submerged pitching porous plate.” J. Eng. Mech. 124 (4): 428–434. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:4(428).
Yip, T. L., and A. T. Chwang. 2000. “Perforated wall breakwater with internal horizontal plate.” J. Eng. Mech. 126 (5): 533–538. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:5(533).
Yu, X., and A. T. Chwang. 1994. “Water waves above submerged porous plate.” J. Eng. Mech. 120 (6): 1270–1282. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:6(1270).
Zhu, S., and A. T. Chwang. 2001. “Investigations on the reflection behaviour of a slotted seawall.” Coastal Eng. 43 (2): 93–104. https://doi.org/10.1016/S0378-3839(01)00008-4.
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Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 148 • Issue 5 • September 2022
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© 2022 American Society of Civil Engineers.
History
Received: Nov 18, 2021
Accepted: May 4, 2022
Published online: Jul 7, 2022
Published in print: Sep 1, 2022
Discussion open until: Dec 7, 2022
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