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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
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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.

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

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