Parametric instability analysis of the flow past a square cylinder in the interface of two different-velocity streams

  • Elmansy, Reda (Universitat Politècnica de Catalunya)
  • Bergadà Granyó, Josep Maria (Universitat Politècnica de Catalunya)
  • Mellibovsky, Fernando (Universitat Politècnica de Catalunya)

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In the present manuscript, we place a square cylinder downstream of a splitter plate precisely located at cylinder mid-height and separating the top UT and bottom UB homogeneous streamwise velocities. Linear stability analysis is employed to analyze, as a function of the velocity ratio R = UT /UB, the different instability modes appearing for several splitter plate lengths and different gaps between the splitter plate and the square cylinder. The symmetries associated with each mode and their corresponding equations are also determined. Mode C instability is predominant in the vast majority of the cases studied.