Hostname: page-component-7dd5485656-gs9qr Total loading time: 0 Render date: 2025-10-31T14:04:53.525Z Has data issue: false hasContentIssue false
  • English
  • Français

Subharmonic resonance of a trapped wave near a vertical cylinder in a channel

Published online by Cambridge University Press:  09 August 2006

YILE LI  and
CHIANG C. MEI
YILE LI
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
CHIANG C. MEI
Affiliation:
Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

It is known that perfectly trapped surface waves exist at certain eigenfrequencies near a vertical cylinder in a long channel, or an infinite and periodic array of vertical cylinders, and excitation by incident waves of the same frequency is not possible according to the linear theory. We present a nonlinear theory whereby a trapped wave near a cylinder in a channel is excited subharmonically by an incident wave of twice the eigenfrequency. The effects of geometrical parameters on the initial growth of resonance and the final amplification are studied in detail.

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 561 , 25 August 2006 , pp. 391 - 416
Copyright
© 2006 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.)

Article purchase

Temporarily unavailable