Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-13T01:36:35.303Z Has data issue: false hasContentIssue false
  • English
  • Français

Transmission of water waves through small apertures

Published online by Cambridge University Press:  29 March 2006

E. O. Tuck
E. O. Tuck
Affiliation:
Department of Mathematics, University of Adelaide
Get access Rights & Permissions [Opens in a new window]

Abstract

A method of solution is proposed for flows through small apertures in otherwise impermeable barriers. This method, which is an application of the method of matched asymptotic expansions, is used to solve a specific water-wave problem, yielding an approximate formula for the transmission coefficient.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 49 , Issue 1 , 13 September 1971 , pp. 65 - 74
Copyright
© 1971 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

Dean, W. R. 1945 Proc. Camb. Phil. Soc. 41, 231.
Evans, D. V. 1970 J. Fluid Mech. 40, 433.
Jahnke, E. & Emde, F. 1945 Tables of Functions, 4th edn. Dover.
Lamb, H. 1932 Hydrodynamics, 6th edn. Cambridge University Press.
Lewin, M. 1963 J. Math. Phys. 42, 287.
Mei, C. C. 1966 Quart. J. Mech. Appl. Math. 19, 417.
Muskhelisemli 1946 singular Integral Equations (Translated 1953). Groningen : Noordhoff.
Newman, J. N. 1969 J. Fluid Mech. 39, 97.
Rayleige, Lord, 1897 Phil. Mag. 44, 28.
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics. Academic.
Wehausen, J. V. & Laitone, E. V. 1960 Handb. Phys. vol. 9. Springer.