### Abstract

Dual solutions, i.e., two-vortex and four-vortex solutions, of the flow through a curved circular tube are numerically obtained by the spectral method for 0 ≤ δ ≤ 0.8 and 500 ≤ Dn ≤ 10000, where δ is the non-dimensional curvature of the tube and Dn the Dean number. It is found that the critical Dean number above which the four-vortex solution exists takes the lowest value 956 at δ = 0 and increases with δ. In terms of the Reynolds number of the flow, however, the critical Reynolds number decreases from infinity as δ increases from zero, takes the minimum value of about 250 at δ ≈ 0.52, and then increases again.

Original language | English |
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Pages (from-to) | 217-228 |

Number of pages | 12 |

Journal | Fluid Dynamics Research |

Volume | 13 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - Mar 1994 |

### ASJC Scopus subject areas

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

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## Cite this

Yanase, S., Yamamoto, K., & Yoshida, T. (1994). Effect of curvature on dual solutions of flow through a curved circular tube.

*Fluid Dynamics Research*,*13*(3-4), 217-228. https://doi.org/10.1016/0169-5983(94)90050-7