Von Kármán vortex street past a permeable circular cylinder: Two-dimensional flow and dynamic-mode-decomposition-based secondary stability analysis
F. Caruso Lombardi, Alessandro Bongarzone, G. Zampogna, François Gallaire, Simone Camarri, Pier Giuseppe Ledda
Abstract
We explore the role of permeability in modifying the vortex shedding past a permeable circular cylinder. The two-dimensional (2D) von K\'arm\'an vortex street sets at progressively larger distances from the body and is eventually suppressed, as permeability increases. Using Dynamic Mode Decomposition we perform a linear stability analysis with respect to three-dimensional perturbations of the 2D periodic vortex shedding. We identify a range of permeability in which the shedding remains 2D, at least for the values of Reynolds number considered here; for larger values of permeability, the wake remains steady and 2D.
Topics & Concepts
Vortex sheddingReynolds numberVortexDynamic mode decompositionKármán vortex streetMechanicsWakePermeability (electromagnetism)CylinderPhysicsGeometryMathematicsTurbulenceMembraneChemistryBiochemistryFluid Dynamics and Vibration AnalysisWind and Air Flow StudiesAerodynamics and Fluid Dynamics Research