### 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 - Nov 1994 |

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### ASJC Scopus subject areas

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

### Cite this

*Fluid Dynamics Research*,

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