### Abstract

The effect of curvature and torsion on the flow in a helical pipe of circular cross-section is studied numerically by the spectral method. The calculations are carried out for 0 ≤ δ ≤ 0.6, 0 ≤ β_{0} ≤ 1.4 and 500 ≤ D_{n}≤ 2000, where δ is the non-dimensional curvature,β_{0} the ratio of torsion to square root of curvature, and D_{n} the Dean number. The results obtained indicate large effects of torsion on the flow: The conventional two-vortex secondary flow is distorted to become almost one single recirculating cell when β_{0} {greater-than or approximate} 0.8. The flux through the pipe at the given Dean number and curvature first decreases from that of the toroidally curved pipe as β0 increases from zero, reaches a minimum at β_{0} ≈ 0.8, and then increases to values larger than that of the toroidally curved pipe. The minimum value decreases as ° increases.

Original language | English |
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Pages (from-to) | 259-273 |

Number of pages | 15 |

Journal | Fluid Dynamics Research |

Volume | 14 |

Issue number | 5 |

DOIs | |

Publication status | Published - 1994 |

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### ASJC Scopus subject areas

- Mechanical Engineering
- Statistical and Nonlinear Physics

### Cite this

*Fluid Dynamics Research*,

*14*(5), 259-273. https://doi.org/10.1016/0169-5983(94)90035-3

**Torsion effect on the flow in a helical pipe.** / Yamamoto, Kyoji; Yanase, Shinichiro; Yoshida, Takahiro.

Research output: Contribution to journal › Article

*Fluid Dynamics Research*, vol. 14, no. 5, pp. 259-273. https://doi.org/10.1016/0169-5983(94)90035-3

}

TY - JOUR

T1 - Torsion effect on the flow in a helical pipe

AU - Yamamoto, Kyoji

AU - Yanase, Shinichiro

AU - Yoshida, Takahiro

PY - 1994

Y1 - 1994

N2 - The effect of curvature and torsion on the flow in a helical pipe of circular cross-section is studied numerically by the spectral method. The calculations are carried out for 0 ≤ δ ≤ 0.6, 0 ≤ β0 ≤ 1.4 and 500 ≤ Dn≤ 2000, where δ is the non-dimensional curvature,β0 the ratio of torsion to square root of curvature, and Dn the Dean number. The results obtained indicate large effects of torsion on the flow: The conventional two-vortex secondary flow is distorted to become almost one single recirculating cell when β0 {greater-than or approximate} 0.8. The flux through the pipe at the given Dean number and curvature first decreases from that of the toroidally curved pipe as β0 increases from zero, reaches a minimum at β0 ≈ 0.8, and then increases to values larger than that of the toroidally curved pipe. The minimum value decreases as ° increases.

AB - The effect of curvature and torsion on the flow in a helical pipe of circular cross-section is studied numerically by the spectral method. The calculations are carried out for 0 ≤ δ ≤ 0.6, 0 ≤ β0 ≤ 1.4 and 500 ≤ Dn≤ 2000, where δ is the non-dimensional curvature,β0 the ratio of torsion to square root of curvature, and Dn the Dean number. The results obtained indicate large effects of torsion on the flow: The conventional two-vortex secondary flow is distorted to become almost one single recirculating cell when β0 {greater-than or approximate} 0.8. The flux through the pipe at the given Dean number and curvature first decreases from that of the toroidally curved pipe as β0 increases from zero, reaches a minimum at β0 ≈ 0.8, and then increases to values larger than that of the toroidally curved pipe. The minimum value decreases as ° increases.

UR - http://www.scopus.com/inward/record.url?scp=0028534184&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028534184&partnerID=8YFLogxK

U2 - 10.1016/0169-5983(94)90035-3

DO - 10.1016/0169-5983(94)90035-3

M3 - Article

AN - SCOPUS:0028534184

VL - 14

SP - 259

EP - 273

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

SN - 0169-5983

IS - 5

ER -