Papers by Mohamed Elmansy
Physics of Fluids
We analyze the incompressible flow past a square cylinder immersed in the wake of an upstream spl... more We analyze the incompressible flow past a square cylinder immersed in the wake of an upstream splitter plate, which separates two streams of different velocities, UT (top) and UB (bottom). The Reynolds number associated with the flow below the plate is kept constant at ReB=DUB/ν=56, based on the square cylinder side D as characteristic length. The top-to-bottom flow dissymmetry is measured by the ratio R≡ReT/ReB∈[1,5.3] between the Reynolds numbers above and below the plate. The equivalent bulk Reynolds taken as the mean between top and bottom changes with R in the range Re≡(ReT+ReB)/2∈[56,178]. A Hopf bifurcation occurs at R=2.1±0.1 (Re=86.8±2.8), which results in an asymmetric Kármán vortex street with vortices only showing on the high-velocity side of the wake. A spanwise modulational instability is responsible for the three-dimensionalization of the flow at R≃3.1 (Re≃115) with the associated wavelength of λz≃2.4. For velocity ratios R≥4, the flow becomes spatiotemporally chaotic...
Uploads
Papers by Mohamed Elmansy