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

Shinichiro Yanase, Yoshito Kaga

Research output: Contribution to journalArticle

8 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 1 2004

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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