### 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 |
---|---|

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 2004 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*73*(6), 1419-1422. https://doi.org/10.1143/JPSJ.73.1419

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

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 73, no. 6, pp. 1419-1422. https://doi.org/10.1143/JPSJ.73.1419

}

TY - JOUR

T1 - Zero-mean-absolute-vorticity state and vortical structures in rotating channel flow

AU - Yanase, Shinichiro

AU - Kaga, Yoshito

PY - 2004/6

Y1 - 2004/6

N2 - 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.

AB - 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.

KW - Absolute vorticity

KW - Rotating shear flow

KW - Spectral method

KW - Traveling-wave solution

UR - http://www.scopus.com/inward/record.url?scp=20144363741&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20144363741&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.73.1419

DO - 10.1143/JPSJ.73.1419

M3 - Article

AN - SCOPUS:20144363741

VL - 73

SP - 1419

EP - 1422

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 6

ER -