Obstacle Geometry Effect on the Stability of Two-Dimensional Incompressible Flow in a Channel

Two-dimensional incompressible fluid flow around a rectangular shape placed over a larger rectangular shape is analyzed numerically. The vortex shedding is investigated at different arrangements of the two shapes. The calculations are carried out for several values of Reynolds numbers from low value...

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Bibliographic Details
Published in:Journal of Applied Fluid Mechanics 2016, Vol.9 (2), p.625-633
Main Authors: Fezai, S, Ben-Cheikh, N, Ben-Beya, B, Lili, T
Format: Article
Language:English
Subjects:
Channels
Computational fluid dynamics
Configurations
Dimensional stability
Flow characteristics
Flow stability
Fluid flow
Hopf bifurcation
Incompressible flow
Incompressible fluids
Low Reynolds number
Obstacle
Incompressible fluid flow
Finite-volume method
Von Karman vortex street
Critical Reynolds number
Obstacles
Reynolds number
Two dimensional flow
Unsteady
Vortex shedding
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Summary:Two-dimensional incompressible fluid flow around a rectangular shape placed over a larger rectangular shape is analyzed numerically. The vortex shedding is investigated at different arrangements of the two shapes. The calculations are carried out for several values of Reynolds numbers from low values up to 52. At low Reynolds number, the flow remains steady. The flow characteristics are analyzed for each configuration. The analysis of the flow evolution shows that with increasing Re beyond a certain critical value, the flow becomes unstable and undergoes a bifurcation. It is observed that the transition to unsteady regime is performed by a Hopf bifurcation. The critical Reynolds number beyond which the flow becomes unsteady is determined for each configuration.
ISSN:1735-3572
1735-3645
DOI:10.18869/acadpub.jafm.68.225.24446