Abstract
This paper describes a plane regular wave interaction with a combined cylinder which consists of a solid inner column and a coaxial perforated outer cylinder. The outer perforated surface is a thin porous cylinder with an annular gap between it and the inner cylinder. The non-linear boundary condition at the perforated wall is a prime focus in the study; energy dissipation at the perforated wall occurs through the resistance to the fluid across the perforated wall. Explicit analytical formulae are presented to calculate the wave run-up on the outer and inner surfaces of the perforated cylinder and the surface of the inner column. The theoretical results of the wave run-up are compared with previous experimental data. Numerical results have also been obtained: when the ratio of the annular gap between the two cylinders to incident wavelength (b-a)/L≤0.1, the wave run-up on the inner surface of the perforated cylinder and the surface of inner column can partially or completely exceed the incident wave height.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Burcharth, H. F. and Andersen, O. H., 1995. On the one-dimensional steady and unsteady porous flow equations, Coast. Eng., 24(3–4): 233–257.
Chwang, A. T. and Li, W., 1983. A piston-type porous wavemaker theory, J. Eng. Mathematics, 17(4): 301–313.
Darwiche, M. K. M., Williams, A. N. and Wang, K. H., 1994. Wave interaction with semiporous cylindrical breakwater, J. Waterw. Port Coast. Ocean Eng., ASCE, 120(4): 382–403.
Erwin, E. and Idelchik, I. E., 1989. Flow Resistance: A Design Guide for Engineers, Hemisphere Publishing corporation, New York.
Foster, K. and Parker, G. A., 1970. Fluidics: Components and circuits, WiLey-interscience, London.
Isaacson, M., Premasirl, S. and Yang, G., 1998. Wave interaction with vertical slotted barrier, J. Waterw. Port Coast. Ocean Eng., ASCE, 124(3): 118–126.
Kakuno, S., and Liu, P. L- F., 1993. Scattering of water waves by vertical cylinders, J. Waterw. Port Coast. Ocean Eng., ASCE, 119(3): 302–322.
Linton, C. M. and Evans, D. V., 1990. The interaction of waves with arrays of vertical cylinders, J. Fluid Mech., 215, 549–569.
Li, Y. C., Liu, Y. and Teng, B., 2006. Porous effect parameter of thin permeable plates, Coast. Eng. J., 48(4): 309–336.
Li, Y. C., Sun, L. and Teng, B., 2003. Wave action on double-cylinder structure with perforated outer wall, Proc. Int. Conf. Offshore Mech. Arctic Eng., OMAE 1, 149–156.
MacCamy, R. C. and Fuchs, R. A., 1954. Wave forces on piles: A Diffraction Theory, Technical Memorandum No.69, Beach Erosion Board, Washington, D.C.
Mei, C. C., 1989. The applied dynamics of ocean surface waves, Advanced Series on Ocean Engineering, Vol. 1, World Scientific, Singapore.
Mei, C. C., Liu, P. L. F. and Ippen, A. T., 1974. Quadratic head loss and scattering of long waves, J. Waterw. Harbour Coast. Eng. Div., ASCE, 100(3): 217–237.
Molin, B., 2001. On the added mass and damping of periodic arrays of fully or partially porous disks, J. Fluids Struct., 15(2): 275–290.
Sankarbabu, K, Sannasiraj, S. A. and Sundar, A., 2007. Interaction of regular waves with a group of dual porous circular cylinders, Appl. Ocean Res., 29(4): 180–190.
Sankarbabu, K., Sannasiraj, S. A. and Sundar, V., 2008. Hydrodynamic performance of a dual cylindrical caisson breakwater, Coast. Eng., 55(6): 431–446.
Song, H. and Tao, L., 2007. Short-crested wave interaction with a concentric porous cylindrical structure, Appl. Ocean Res., 29(4): 199–209.
Spring, B. H. and Monkmeyer, P. L., 1974. Interaction of plane waves with vertical cylinders, Proc. 14th Coast. Eng. Conf., ASCE, 1828–1847.
Teng, B., Han, L. and Li, Y. C., 2000. Wave diffraction from a vertical cylinder with two uniform columns and porous outer wall, China Ocean Eng., 14(3): 297–306.
Vijayalakshmi, K., Neelamani, S., Sundaravadivelu, R. and Murali, K., 2007. Wave runup on a concentric twin perforated circular cylinder, Ocean Eng., 34(2): 327–336.
Vijayalakshmi, K., Sundaravadivelu, R., Murali, K. and Neelamani, S., 2008. Hydrodynamics of a concentric twin perforated circular cylinder system, J. Waterw. Port Coast. Ocean Eng., ASCE, 134(3): 166–177.
Wang, K. H. and Ren, X., 1994. Wave interaction with a concentric porous cylinder system, Ocean Eng., 21(4): 343–360.
Williams, A. N. and Li, W., 2000. Water wave interaction with an array of bottom-mounted surface-piercing porous cylinders, Ocean Eng., 27(8): 841–866.
Yu, X. P., 1995. Diffraction of water waves by porous breakwaters, J. Waterw. Port Coast. Ocean Eng. Div., ASCE, 121(6): 275–282.
Zhu, D. T., 1999. Analysis of interaction of plane waves with multiple circular cylinders, China Ocean Eng., 13(4): 453–458.
Zhu, D. T., 2002. Wave diffraction around a group of impedance cylinders, The Ocean Engineering, 20(4): 5–10. (in Chinese)
Zhu, D. T. and Zhu, S. W., 2010. Impedance analysis of hydrodynamic behaviors for a perforated-wall caisson breakwater under regular wave orthogonal attack, Coast. Eng., 57(8): 722–731.
Zhu, D. T., 2010. Impedance analytical method of wave run-up and reflection from a slotted-wall caisson breakwater, China Ocean Eng., 24(3): 453–465.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhu, Dt. Wave run-up on a coaxial perforated circular cylinder. China Ocean Eng 25, 201–214 (2011). https://doi.org/10.1007/s13344-011-0018-5
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s13344-011-0018-5