### Abstract

Bifurcating solutions are obtained for a flow through a slightly curved tube of rectangular cross-section. An aspect ratio of cross-section, γ, is changed over 1≦γ≦5 with the Dean number fixed to be 100. If γ<3.02, there is only a two-vortex solution. If γ≧3.02, there are dual solutions one of which is a two-vortex solution, the other is a four-vortex solution. Numerical solution of the unsteady Navier-Stokes equation at γ=4.9 shows that a two-vortex solution changes toward a four-vortex solution when it is disturbed by asymmetric disturbances.

Original language | English |
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Pages (from-to) | 3790-3795 |

Number of pages | 6 |

Journal | journal of the physical society of japan |

Volume | 57 |

Issue number | 11 |

DOIs | |

Publication status | Published - Jan 1 1988 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Yanase, S., & Nishiyama, K. (1988). On the Bifurcation of Laminar Flows through a Curved Rectangular Tube.

*journal of the physical society of japan*,*57*(11), 3790-3795. https://doi.org/10.1143/JPSJ.57.3790