Zero-mean-absolute-vorticity state and vortical structures in rotating channel flow

Shinichiro Yanase, Yoshito Kaga

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The plane-Poiseuille-type flow is numerically investigated in a rotating coordinate system with small system rotation rates for low Reynolds numbers. We obtained two-dimensional and three-dimensional solutions which exhibit characteristic coherent vortical structures by time-evolution calculations of the Fourier and Chebyshev expansions. It is interesting that mean-absolute-vorticity becomes nearly zero in the region where the vortical structures concentrate. We found for relatively small Reynolds number and rotation number ranges that two-dimensional solutions and traveling-wave solutions having the same spatial symmetry are stably maintained. We also found a two-dimensional periodic solution which switches two and four vortices states. The asymptotic states of the time-developing solutions are obtained as steady or traveling-wave solutions by the Newton-Raphson iteration method.

Original languageEnglish
Pages (from-to)1419-1422
Number of pages4
JournalJournal of the Physical Society of Japan
Volume73
Issue number6
DOIs
Publication statusPublished - Jun 2004

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channel flow
vorticity
traveling waves
low Reynolds number
newton
iteration
Reynolds number
switches
vortices
expansion
symmetry

Keywords

  • Absolute vorticity
  • Rotating shear flow
  • Spectral method
  • Traveling-wave solution

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Zero-mean-absolute-vorticity state and vortical structures in rotating channel flow. / Yanase, Shinichiro; Kaga, Yoshito.

In: Journal of the Physical Society of Japan, Vol. 73, No. 6, 06.2004, p. 1419-1422.

Research output: Contribution to journalArticle

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