TECHNICAL PAPERS
May 1, 1993

Scattering of Water Waves by Vertical Cylinders

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 119, Issue 3

Abstract

The scattering of small amplitude water waves by an array of vertical cylinders is studied theoretically and experimentally. In the theoretical study, a method of matched asymptotic expansions is first developed to find the reflection and the transmission coefficients without considering real fluid effects. Energy loss due to the flow separation near the cylinders is modeled by adopting a linearized form of the quadratic resistance law. It is shown that this is equivalent to introduce a complex blockage coefficient. The energy loss coefficients for square cylinders and circular cylinders are determined by comparing theoretical results with experimental data.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Flagg, C. N., and Newman, J. N. (1971). “Sway added‐mass coefficients for rectangular profiles in shallow water.” J. Ship Res., 15, 257–265.
2.
Iskandarani, M., and Liu, P. L.‐F. (1988). “Multiple scattering of surface water‐waves and wave forces in cylinder arrays.” Appl. Oc. Res., 10, 170–180.
3.
Kagemoto, H., and Yue, D. K. P. (1986). “Interactions among multiple three‐dimensional bodies in water waves: An exact algebraic method.” J. Fluid Mech., 166, 189–209.
4.
Kakuno, S., and Oda, K. (1986). “Boundary‐value analysis on the interaction of cylinder arrays of arbitrary cross‐section with train of uniform waves.” J. Japanese Soc. Civ. Engr., Tokyo, Japan, 369, 213–222 (in Japanese).
5.
Lamb, H. (1932). Hydrodynamics. 6th Ed., Cambridge University Press, New York, N.Y.
6.
Linton, C. M., and Evans, D. V. (1990). “The interaction of waves with arrays of vertical circular cylinders.” J. Fluid Mech., 215, 549–570.
7.
Martin, P. A., and Dalrymple, R. A. (1988). “Scattering of long waves by cylindrical obstacles and gratings using matched asymptotic expansions.” J. Fluid Mech., 188, 465–490.
8.
Newman, J. N. (1969). “Lateral motion of a slender body between two parallel walls.” J. Fluid Mech., 39, 97–115.
9.
Samoilovich, G. S. (1962). “Calculating the nonstationary flow around a lattice of arbitrary profiles which vibrate with an arbitrary phase shift.” J. Appl. Math. and Mech., 26, 172–187.
10.
Sedov, L. I. (1965). Two‐dimensional problems in hydrodynamics and aerodynamics. Wiley Interscience, New York, N.Y.
11.
Taylor, P. J. (1973). “The blockage coefficient for flow about an arbitrary body immersed in a channel.” J. Ship Res., 17, 97–105.
12.
Tuck, E. O. (1975). “Matching problems involving flow through small holes.” Adv. in Appl. Mech., 15, 89–158.
13.
Twersky, V. (1956). “On the scattering of waves by an infinite grating.” IRE Trans. Antennas and Propagat., 4, 330–345.
14.
Twerksy, V. (1962). “On scattering waves by the infinite grating of circular cylinders.” IRE Trans. on Antennas and Propagat., 10, 737–765.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 119Issue 3May 1993
Pages: 302 - 322

History

Received: Jun 20, 1992
Published online: May 1, 1993
Published in print: May 1993

Permissions

Request permissions for this article.

Authors

Affiliations

Shohachi Kakuno
Assoc. Prof., Dept, of Civ. Engrg., Osaka City Univ., Sumiyoshi‐ku, Osaka, 558 Japan
Philip L. ‐F. Liu, Member, ASCE
Prof., School of Civ. and Envir. Engrg., Cornell Univ., Ithaca, NY 14853‐3501

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share