### Abstract

The incompressible viscous steady flow through a curved duct of square cross-section driven by a pressure gradient along the duct is considered. The rotation of the duct about the centre of the curvature is imposed to investigate the combined effects of rotation (Coriolis force) and curvature (centrifugal force) on the flow. The numerical calculations covering a wide range of rotational speed are carried out for the Dean numbers, D_{n}, of 400, 642 and 800. When the rotation is in the same as the main flow direction, multiple solutions with 2-cell and 4-cell secondary flow patterns are obtained in case of D_{n} = 400 and 642, while only 4-cell solution is obtained in case of D_{n} = 800. When the rotation is opposite to the main flow direction, the 6-cell secondary flow pattern is obtained for D_{n} = 400, 642 and D_{n} = 800 with increasing the rotational speed gradually. For all cases, the total flux through the duct has a sharp peak, where the 6-cell pattern appears.

Original language | English |
---|---|

Pages (from-to) | 1173-1184 |

Number of pages | 12 |

Journal | Journal of the Physical Society of Japan |

Volume | 68 |

Issue number | 4 |

Publication status | Published - Apr 1999 |

### Fingerprint

### Keywords

- Curved duct flow
- Rotation
- Square cross-section
- Taylor number

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*68*(4), 1173-1184.

**Flow Through a Rotating Curved Duct with Square Cross-Section.** / Yamamoto, Kyoji; Yanase, Shinichiro; Alam, Md Mahmud.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 68, no. 4, pp. 1173-1184.

}

TY - JOUR

T1 - Flow Through a Rotating Curved Duct with Square Cross-Section

AU - Yamamoto, Kyoji

AU - Yanase, Shinichiro

AU - Alam, Md Mahmud

PY - 1999/4

Y1 - 1999/4

N2 - The incompressible viscous steady flow through a curved duct of square cross-section driven by a pressure gradient along the duct is considered. The rotation of the duct about the centre of the curvature is imposed to investigate the combined effects of rotation (Coriolis force) and curvature (centrifugal force) on the flow. The numerical calculations covering a wide range of rotational speed are carried out for the Dean numbers, Dn, of 400, 642 and 800. When the rotation is in the same as the main flow direction, multiple solutions with 2-cell and 4-cell secondary flow patterns are obtained in case of Dn = 400 and 642, while only 4-cell solution is obtained in case of Dn = 800. When the rotation is opposite to the main flow direction, the 6-cell secondary flow pattern is obtained for Dn = 400, 642 and Dn = 800 with increasing the rotational speed gradually. For all cases, the total flux through the duct has a sharp peak, where the 6-cell pattern appears.

AB - The incompressible viscous steady flow through a curved duct of square cross-section driven by a pressure gradient along the duct is considered. The rotation of the duct about the centre of the curvature is imposed to investigate the combined effects of rotation (Coriolis force) and curvature (centrifugal force) on the flow. The numerical calculations covering a wide range of rotational speed are carried out for the Dean numbers, Dn, of 400, 642 and 800. When the rotation is in the same as the main flow direction, multiple solutions with 2-cell and 4-cell secondary flow patterns are obtained in case of Dn = 400 and 642, while only 4-cell solution is obtained in case of Dn = 800. When the rotation is opposite to the main flow direction, the 6-cell secondary flow pattern is obtained for Dn = 400, 642 and Dn = 800 with increasing the rotational speed gradually. For all cases, the total flux through the duct has a sharp peak, where the 6-cell pattern appears.

KW - Curved duct flow

KW - Rotation

KW - Square cross-section

KW - Taylor number

UR - http://www.scopus.com/inward/record.url?scp=0033462948&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033462948&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033462948

VL - 68

SP - 1173

EP - 1184

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 4

ER -