## 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 language | English |
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Pages (from-to) | 1419-1422 |

Number of pages | 4 |

Journal | journal of the physical society of japan |

Volume | 73 |

Issue number | 6 |

DOIs | |

Publication status | Published - Jun 1 2004 |

## Keywords

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

## ASJC Scopus subject areas

- Physics and Astronomy(all)