Trapped modes around a row of circular cylinders in a channel

Tomoaki Utsunomiya, R. Eatock Taylor

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

Trapped modes around a row of bottom-mourned vertical circular cylinders in a channel are examined. The cylinders are identical, and their axes equally spaced in a plane perpendicular to the channel walk. The analysis has been made by employing the multipole expansion method under the assumption of linear water wave theory. Al least the same number of trapped modes is shown to exist as the number of cylinders for both Neumann and Dirichlet trapped modes, with the exception that for cylinders having large radius the mode corresponding to the Dirichlet trapped mode for one cylinder will disappear. Close similarities between the Dirichlet trapped modes around a row of cylinders in a channel and the near-resonant phenomenon in the wave diffraction around a long array of cylinders in the open sea are discussed. An analogy with a mass-spring oscillating system is also presented.

Original languageEnglish
Pages (from-to)259-279
Number of pages21
JournalJournal of Fluid Mechanics
Volume386
DOIs
Publication statusPublished - May 10 1999
Externally publishedYes

Fingerprint

Water waves
circular cylinders
Circular cylinders
Diffraction
wave diffraction
water waves
multipoles
radii
expansion

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

Trapped modes around a row of circular cylinders in a channel. / Utsunomiya, Tomoaki; Eatock Taylor, R.

In: Journal of Fluid Mechanics, Vol. 386, 10.05.1999, p. 259-279.

Research output: Contribution to journalArticle

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