Hostname: page-component-5c6d5d7d68-wtssw Total loading time: 0 Render date: 2024-08-29T09:38:26.291Z Has data issue: false hasContentIssue false

Transmission of water waves through small apertures

Published online by Cambridge University Press:  29 March 2006

D. C. Guiney
Affiliation:
Department of Applied Mathematics, University of Adelaide
B. J. Noye
Affiliation:
Department of Applied Mathematics, University of Adelaide
E. O. Tuck
Affiliation:
Department of Applied Mathematics, University of Adelaide

Abstract

The water-wave transmission coefficient for a small slit in a thick vertical barrier is obtained theoretically and verified both experimentally and by comparison with an exact theory for the case of zero thickness. Similar shallow-water results are presented.

Type
Research Article
Copyright
© 1972 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Abramowitz, M. & Stegun, L. A. (eds.) 1964 Handbook of Mathematical Functions. Washington: National Bureau of Standards.
Davy, N. 1944 Phil. Mag. 35 (7), 819840.
Dean, W. R. 1945 Proc. Camb. Phil. Soc. 41, 231238.
Flagg, C. N. & Newman, J. N. 1971 J. Ship Res. 15, 257265.
Guiney, D. C. 1972 Ph.D. thesis, University of Adelaide.
Lewin, M. 1963 J. Math. Phys. 42, 287300.
Mei, C. C. 1966 Quart. J. Mech. Appl. Math. 19, 417440.
Newman, J. N. 1969 J. Fluid Mech. 39, 97115.
Ogilvie, T. F. 1960 Ph.D. thesis, University of California, Berkeley.
Porter, D. 1972 Proc. Camb. Phil. Soc. 71, 411421.
Taylor, P. J. 1971 Ph.D. thesis, University of Adelaide.
Tuck, E. O. 1971 J. Fluid Mech. 49, 6573.
Tuck, E. O. & Taylor, P. J. 1970 8th Symp. Nav. Hydro., Office of Naval Research, Washington D.C.
Ursell, F. 1947 Proc. Camb. Phil. Soc. 43, 374382.
Wehausen, J. V. & Laitone, E. V. 1960 Handbook of Physics, vol. 9. Surface Waves, Springer.