### Abstract

The flow fields in two-dimensional channels with discontinuous expansions are studied numerically to understand how the channel expansion ratio influences the symmetric and non-symmetric solutions that axe known to occur. For improved confidence and understanding, two distinct numerical techniques are used. The general flow field characteristics in both symmetric and asymmetric regimes are ascertained by a time-marching finite volume procedure. The flow fields and the bifurcation structure of the steady solutions of the Navier-Stokes equations are determined independently using the finite-element technique. The two procedures are then compared both as to their predicted critical Reynolds numbers and the resulting flow field characteristics. Following this, both numerical procedures are compared with experiments. The results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows linearly with the expansion ratio.

Original language | English (US) |
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State | Published - Jan 1 1996 |

Event | Theroretical Fluid Mechanics Conference, 1996 - New Orleans, United States Duration: Jun 17 1996 → Jun 20 1996 |

### Other

Other | Theroretical Fluid Mechanics Conference, 1996 |
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Country | United States |

City | New Orleans |

Period | 6/17/96 → 6/20/96 |

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### All Science Journal Classification (ASJC) codes

- Engineering(all)

### Cite this

*Bifurcation of low reynolds number flows in symmetric channels*. Paper presented at Theroretical Fluid Mechanics Conference, 1996, New Orleans, United States.

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**Bifurcation of low reynolds number flows in symmetric channels.** / Battaglia, Francine; Tavener, Simon J.; Kulkarni, Anil Kamalakant; Merkle, Charles L.

Research output: Contribution to conference › Paper

TY - CONF

T1 - Bifurcation of low reynolds number flows in symmetric channels

AU - Battaglia, Francine

AU - Tavener, Simon J.

AU - Kulkarni, Anil Kamalakant

AU - Merkle, Charles L.

PY - 1996/1/1

Y1 - 1996/1/1

N2 - The flow fields in two-dimensional channels with discontinuous expansions are studied numerically to understand how the channel expansion ratio influences the symmetric and non-symmetric solutions that axe known to occur. For improved confidence and understanding, two distinct numerical techniques are used. The general flow field characteristics in both symmetric and asymmetric regimes are ascertained by a time-marching finite volume procedure. The flow fields and the bifurcation structure of the steady solutions of the Navier-Stokes equations are determined independently using the finite-element technique. The two procedures are then compared both as to their predicted critical Reynolds numbers and the resulting flow field characteristics. Following this, both numerical procedures are compared with experiments. The results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows linearly with the expansion ratio.

AB - The flow fields in two-dimensional channels with discontinuous expansions are studied numerically to understand how the channel expansion ratio influences the symmetric and non-symmetric solutions that axe known to occur. For improved confidence and understanding, two distinct numerical techniques are used. The general flow field characteristics in both symmetric and asymmetric regimes are ascertained by a time-marching finite volume procedure. The flow fields and the bifurcation structure of the steady solutions of the Navier-Stokes equations are determined independently using the finite-element technique. The two procedures are then compared both as to their predicted critical Reynolds numbers and the resulting flow field characteristics. Following this, both numerical procedures are compared with experiments. The results show that the critical Reynolds number decreases with increasing channel expansion ratio. At a fixed supercritical Reynolds number, the location at which the jet first impinges on the channel wall grows linearly with the expansion ratio.

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M3 - Paper

AN - SCOPUS:84983123742

ER -