Paper Information

Journal:   JOURNAL OF APPLIED FLUID MECHANICS (JAFM)   2016 , Volume 9 , Number 2; Page(s) 625 To 633.
 
Paper: 

OBSTACLE GEOMETRY EFFECT ON THE STABILITY OF TWO-DIMENSIONAL INCOMPRESSIBLE FLOW IN A CHANNEL

 
 
Author(s):  FEZAI S.*, BEN CHEIKH N., BEN BEYA B., LILI T.
 
* UNIVERSITY OF TUNIS EL MANAR, FACULTY OF SCIENCES OF TUNIS, LABORATORY OF FLUID MECHANICS, PHYSICS DEPARTMENT, 2092, TUNIS, TUNISIA
 
Abstract: 

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.

 
Keyword(s): OBSTACLE, INCOMPRESSIBLE FLUID FLOW, FINITE-VOLUME METHOD, VON KARMAN VORTEX STREET, CRITICAL REYNOLDS NUMBER
 
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