### Abstract

In this article we propose an efficient method to compute the friction factor of helically corrugated hoses carrying flow at high Reynolds numbers. A comparison between computations of several turbulence models is made with experimental results for corrugation sizes that fall outside the range of validity of the Moody diagram. To do this efficiently we implement quasi-periodicity. Using the appropriate boundary conditions and matching body force, we only need to simulate a single period of the corrugation to find the friction factor for fully developed flow. A second technique is introduced by the construction of an appropriately twisted wedge, which allows us to furthermore reduce the problem by a further dimension while accounting for the Beltrami symmetry that is present in the full three-dimensional problem. We make a detailed analysis of the accuracy and time-saving that this novelty introduces. We show that the swirl inside the flow, which is introduced by the helical boundary, has a positive effect on the friction factor. Furthermore, we give a prediction for which corrugation angles the assumption of axisymmetry is no longer valid. It then has to make place for Beltrami-symmetry if accurate results are required.

Original language | English |
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Title of host publication | Proceedings of the ASME Pressure Vessels and Piping Conference 2009 |

Publisher | American Society of Mechanical Engineers |

Pages | 655-664 |

Number of pages | 10 |

ISBN (Electronic) | 978-0-7918-3854-9 |

ISBN (Print) | 978-0-7918-4367-3 |

DOIs | |

Publication status | Published - 9 Jun 2010 |

Event | 2009 ASME Pressure Vessels and Piping Conference, PVP 2009 - Prague, Czech Republic Duration: 26 Jul 2009 → 30 Jul 2009 |

### Conference

Conference | 2009 ASME Pressure Vessels and Piping Conference, PVP 2009 |
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Country | Czech Republic |

City | Prague |

Period | 26/07/09 → 30/07/09 |

### Fingerprint

### Cite this

*Proceedings of the ASME Pressure Vessels and Piping Conference 2009*(pp. 655-664). [PVP2009-77997] American Society of Mechanical Engineers. https://doi.org/10.1115/PVP2009-77997

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*Proceedings of the ASME Pressure Vessels and Piping Conference 2009.*, PVP2009-77997, American Society of Mechanical Engineers, pp. 655-664, 2009 ASME Pressure Vessels and Piping Conference, PVP 2009, Prague, Czech Republic, 26/07/09. https://doi.org/10.1115/PVP2009-77997

**Efficient computation of three-dimensional flow in helically corrugated hoses including swirl.** / van der Linden, Bas J.; Ory, Emmanuel; Dam, Jacques; Tijsseling, Arris S.; Pisarenco, Maxim.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Efficient computation of three-dimensional flow in helically corrugated hoses including swirl

AU - van der Linden, Bas J.

AU - Ory, Emmanuel

AU - Dam, Jacques

AU - Tijsseling, Arris S.

AU - Pisarenco, Maxim

PY - 2010/6/9

Y1 - 2010/6/9

N2 - In this article we propose an efficient method to compute the friction factor of helically corrugated hoses carrying flow at high Reynolds numbers. A comparison between computations of several turbulence models is made with experimental results for corrugation sizes that fall outside the range of validity of the Moody diagram. To do this efficiently we implement quasi-periodicity. Using the appropriate boundary conditions and matching body force, we only need to simulate a single period of the corrugation to find the friction factor for fully developed flow. A second technique is introduced by the construction of an appropriately twisted wedge, which allows us to furthermore reduce the problem by a further dimension while accounting for the Beltrami symmetry that is present in the full three-dimensional problem. We make a detailed analysis of the accuracy and time-saving that this novelty introduces. We show that the swirl inside the flow, which is introduced by the helical boundary, has a positive effect on the friction factor. Furthermore, we give a prediction for which corrugation angles the assumption of axisymmetry is no longer valid. It then has to make place for Beltrami-symmetry if accurate results are required.

AB - In this article we propose an efficient method to compute the friction factor of helically corrugated hoses carrying flow at high Reynolds numbers. A comparison between computations of several turbulence models is made with experimental results for corrugation sizes that fall outside the range of validity of the Moody diagram. To do this efficiently we implement quasi-periodicity. Using the appropriate boundary conditions and matching body force, we only need to simulate a single period of the corrugation to find the friction factor for fully developed flow. A second technique is introduced by the construction of an appropriately twisted wedge, which allows us to furthermore reduce the problem by a further dimension while accounting for the Beltrami symmetry that is present in the full three-dimensional problem. We make a detailed analysis of the accuracy and time-saving that this novelty introduces. We show that the swirl inside the flow, which is introduced by the helical boundary, has a positive effect on the friction factor. Furthermore, we give a prediction for which corrugation angles the assumption of axisymmetry is no longer valid. It then has to make place for Beltrami-symmetry if accurate results are required.

UR - http://www.scopus.com/inward/record.url?scp=77953094794&partnerID=8YFLogxK

U2 - 10.1115/PVP2009-77997

DO - 10.1115/PVP2009-77997

M3 - Conference contribution

AN - SCOPUS:77953094794

SN - 978-0-7918-4367-3

SP - 655

EP - 664

BT - Proceedings of the ASME Pressure Vessels and Piping Conference 2009

PB - American Society of Mechanical Engineers

ER -