### Abstract

Original language | English |
---|---|

Pages (from-to) | 179-191 |

Number of pages | 13 |

Journal | Fluid Dynamics Research |

Volume | 32 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 2003 |

### Fingerprint

### Keywords

- Reynolds numbers
- rows of square bars
- two-dimensional
- fluid mechanics
- sychronous shedding of vortices
- transition
- bifurcation

### Cite this

*Fluid Dynamics Research*,

*32*(4), 179-191. https://doi.org/10.1016/S0169-5983(03)00016-9

}

*Fluid Dynamics Research*, vol. 32, no. 4, pp. 179-191. https://doi.org/10.1016/S0169-5983(03)00016-9

**Vortex shedding from a row of square bars.** / Mizushima, Jiro; Akinaga, Takeshi.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Vortex shedding from a row of square bars

AU - Mizushima, Jiro

AU - Akinaga, Takeshi

PY - 2003/4

Y1 - 2003/4

N2 - Interactions of wakes in a flow past a row of square bars, which is placed across a uniform flow, are investigated by numerical simulations and experiments on the tassumption that the flow is two-dimensional and incompressible. At small Reynolds numbers the flow is steady and symmetric with respect not only to streamwise lines through the center of each square bar but also to streamwise centerlines between adjacent square bars. However, the steady symmetric flow becomes unstable at larger Reynolds numbers and make a transition to a steady asymmetric flow with respect to the centerlines between adjacent square bars in some cases or to an oscillatory flow in other cases. It is found that vortices are shed synchronously from adjacent square bars in the same phase or in anti-phase depending upon the distance between the bars when the flow is oscillatory. The origin of the transition to the steady asymmetric flow is identified as a pitchfork bifurcation, while the oscillatory flows with synchronous shedding of vortices are clarified to originate from a Hopf bifurcation. The critical Reynolds numbers of the transitions are evaluated numerically and the bifurcation diagram of the flow is obtained.

AB - Interactions of wakes in a flow past a row of square bars, which is placed across a uniform flow, are investigated by numerical simulations and experiments on the tassumption that the flow is two-dimensional and incompressible. At small Reynolds numbers the flow is steady and symmetric with respect not only to streamwise lines through the center of each square bar but also to streamwise centerlines between adjacent square bars. However, the steady symmetric flow becomes unstable at larger Reynolds numbers and make a transition to a steady asymmetric flow with respect to the centerlines between adjacent square bars in some cases or to an oscillatory flow in other cases. It is found that vortices are shed synchronously from adjacent square bars in the same phase or in anti-phase depending upon the distance between the bars when the flow is oscillatory. The origin of the transition to the steady asymmetric flow is identified as a pitchfork bifurcation, while the oscillatory flows with synchronous shedding of vortices are clarified to originate from a Hopf bifurcation. The critical Reynolds numbers of the transitions are evaluated numerically and the bifurcation diagram of the flow is obtained.

KW - Reynolds numbers

KW - rows of square bars

KW - two-dimensional

KW - fluid mechanics

KW - sychronous shedding of vortices

KW - transition

KW - bifurcation

UR - http://www.scopus.com/inward/record.url?scp=0037387381&partnerID=8YFLogxK

UR - http://iopscience.iop.org/1873-7005/32/4/A04/

U2 - 10.1016/S0169-5983(03)00016-9

DO - 10.1016/S0169-5983(03)00016-9

M3 - Article

VL - 32

SP - 179

EP - 191

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

SN - 0169-5983

IS - 4

ER -