### Abstract

The Taylor-Dean flow through a curved duct of rectangular cross-section is investigated numerically by use of the spectral method. The calculation covers a wide range of the pressure gradient (Dean number) and the rotational speed (Taylor number) of the duct. In the present calculation, two types of aspect ratio, γ = 2 and 3 are considered. Steady flow patterns of the induced secondary flow are obtained. Especially, multiple solutions appear in some ranges of the Taylor number when the secondary flows show very complicated behavior. In the case of γ = 2, there appear four-vortex or six-vortex secondary flow patterns. For γ = 3, flows having many secondary vortices, such as eight vortices or asymmetric flows appear. Finally, time evolution calculations of the solutions are performed. It is found that an unstable solution approaches a stable solution if it exists, while the flow oscillates periodically if there exists no stable steady solution.

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

Pages (from-to) | 1116-1124 |

Number of pages | 9 |

Journal | Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B |

Volume | 72 |

Issue number | 5 |

Publication status | Published - 2006 |

Externally published | Yes |

### Fingerprint

### Keywords

- Curved Duct Flow
- Dean Number
- Linear Stability
- Rectangular Cross-Section
- Secondary Flow
- Taylor Number
- Taylor-Dean Flow
- Time Evolution

### ASJC Scopus subject areas

- Mechanical Engineering

### Cite this

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*,

*72*(5), 1116-1124.

**Numerical analysis of Taylor-Dean flow through a curved duct of rectangular cross-section.** / Hyakutake, Toru; Asahara, Takuya; Kadowaki, Ken; Yamamoto, Kyoji; Yanase, Shinichiro.

Research output: Contribution to journal › Article

*Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B*, vol. 72, no. 5, pp. 1116-1124.

}

TY - JOUR

T1 - Numerical analysis of Taylor-Dean flow through a curved duct of rectangular cross-section

AU - Hyakutake, Toru

AU - Asahara, Takuya

AU - Kadowaki, Ken

AU - Yamamoto, Kyoji

AU - Yanase, Shinichiro

PY - 2006

Y1 - 2006

N2 - The Taylor-Dean flow through a curved duct of rectangular cross-section is investigated numerically by use of the spectral method. The calculation covers a wide range of the pressure gradient (Dean number) and the rotational speed (Taylor number) of the duct. In the present calculation, two types of aspect ratio, γ = 2 and 3 are considered. Steady flow patterns of the induced secondary flow are obtained. Especially, multiple solutions appear in some ranges of the Taylor number when the secondary flows show very complicated behavior. In the case of γ = 2, there appear four-vortex or six-vortex secondary flow patterns. For γ = 3, flows having many secondary vortices, such as eight vortices or asymmetric flows appear. Finally, time evolution calculations of the solutions are performed. It is found that an unstable solution approaches a stable solution if it exists, while the flow oscillates periodically if there exists no stable steady solution.

AB - The Taylor-Dean flow through a curved duct of rectangular cross-section is investigated numerically by use of the spectral method. The calculation covers a wide range of the pressure gradient (Dean number) and the rotational speed (Taylor number) of the duct. In the present calculation, two types of aspect ratio, γ = 2 and 3 are considered. Steady flow patterns of the induced secondary flow are obtained. Especially, multiple solutions appear in some ranges of the Taylor number when the secondary flows show very complicated behavior. In the case of γ = 2, there appear four-vortex or six-vortex secondary flow patterns. For γ = 3, flows having many secondary vortices, such as eight vortices or asymmetric flows appear. Finally, time evolution calculations of the solutions are performed. It is found that an unstable solution approaches a stable solution if it exists, while the flow oscillates periodically if there exists no stable steady solution.

KW - Curved Duct Flow

KW - Dean Number

KW - Linear Stability

KW - Rectangular Cross-Section

KW - Secondary Flow

KW - Taylor Number

KW - Taylor-Dean Flow

KW - Time Evolution

UR - http://www.scopus.com/inward/record.url?scp=33746600632&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33746600632&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33746600632

VL - 72

SP - 1116

EP - 1124

JO - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

JF - Nihon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B

SN - 0387-5016

IS - 5

ER -