### Abstract

The flow in a helical tube of small curvature and its linear stability are theoretically investigated for a wide range of the torsion parameter β_{0}, which is defined as β_{0} = λ/√2δ with the dimensionless torsion λ and curvature δ. It is shown that the torsion has a destabilizing effect on the flow. The critical Dean number at the onset of unstable flow first decreases as β_{0} increases, reaches a minimum at β_{0} ≈ 1.4, and then increases again. The minimum Dean number is about 600. The stability characteristics obtained are favorably compared with those in the previous experiment by Yamamoto et al., Fluid Dyn. Res. 16, 1995.

Original language | English |
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Pages (from-to) | 153-170 |

Number of pages | 18 |

Journal | Fluid Dynamics Research |

Volume | 22 |

Issue number | 3 |

Publication status | Published - Mar 1998 |

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### Keywords

- Curved tube
- Helical tube
- Internal flow
- Linear stability
- Torsion effect

### ASJC Scopus subject areas

- Mechanical Engineering
- Statistical and Nonlinear Physics

### Cite this

*Fluid Dynamics Research*,

*22*(3), 153-170.

**Stability of the flow in a helical tube.** / Yamamoto, Kyoji; Yanase, Shinichiro; Jiang, Rongzhi.

Research output: Contribution to journal › Article

*Fluid Dynamics Research*, vol. 22, no. 3, pp. 153-170.

}

TY - JOUR

T1 - Stability of the flow in a helical tube

AU - Yamamoto, Kyoji

AU - Yanase, Shinichiro

AU - Jiang, Rongzhi

PY - 1998/3

Y1 - 1998/3

N2 - The flow in a helical tube of small curvature and its linear stability are theoretically investigated for a wide range of the torsion parameter β0, which is defined as β0 = λ/√2δ with the dimensionless torsion λ and curvature δ. It is shown that the torsion has a destabilizing effect on the flow. The critical Dean number at the onset of unstable flow first decreases as β0 increases, reaches a minimum at β0 ≈ 1.4, and then increases again. The minimum Dean number is about 600. The stability characteristics obtained are favorably compared with those in the previous experiment by Yamamoto et al., Fluid Dyn. Res. 16, 1995.

AB - The flow in a helical tube of small curvature and its linear stability are theoretically investigated for a wide range of the torsion parameter β0, which is defined as β0 = λ/√2δ with the dimensionless torsion λ and curvature δ. It is shown that the torsion has a destabilizing effect on the flow. The critical Dean number at the onset of unstable flow first decreases as β0 increases, reaches a minimum at β0 ≈ 1.4, and then increases again. The minimum Dean number is about 600. The stability characteristics obtained are favorably compared with those in the previous experiment by Yamamoto et al., Fluid Dyn. Res. 16, 1995.

KW - Curved tube

KW - Helical tube

KW - Internal flow

KW - Linear stability

KW - Torsion effect

UR - http://www.scopus.com/inward/record.url?scp=0042734108&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042734108&partnerID=8YFLogxK

M3 - Article

VL - 22

SP - 153

EP - 170

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

SN - 0169-5983

IS - 3

ER -