Stability of the flow in a helical tube

Kyoji Yamamoto; Shinichiro Yanase; Rongzhi Jiang

doi:10.1016/S0169-5983(97)00032-4

Stability of the flow in a helical tube

Kyoji Yamamoto, Shinichiro Yanase, Rongzhi Jiang

Research output: Contribution to journal › Article › peer-review

45 Citations (Scopus)

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 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.

Original language	English
Pages (from-to)	153-170
Number of pages	18
Journal	Fluid Dynamics Research
Volume	22
Issue number	3
DOIs	https://doi.org/10.1016/S0169-5983(97)00032-4
Publication status	Published - Mar 1998

Keywords

Curved tube
Helical tube
Internal flow
Linear stability
Torsion effect

ASJC Scopus subject areas

Mechanical Engineering
Physics and Astronomy(all)
Fluid Flow and Transfer Processes

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10.1016/S0169-5983(97)00032-4

Cite this

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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 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.",

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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

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DO - 10.1016/S0169-5983(97)00032-4

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VL - 22

SP - 153

EP - 170

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

IS - 3

ER -

Stability of the flow in a helical tube

Abstract

Keywords

ASJC Scopus subject areas

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