6533b7dcfe1ef96bd1272002

RESEARCH PRODUCT

Global Linear Stability Analysis of the Flow Around a Superhydrophobic Circular Cylinder

Marco CariniFranco AuteriMichel FourniéDominique FratantonioFlavio Giannetti

subject

Hopf BifurcationFlow (psychology)Direct numerical simulationSlip SurfaceSlip (materials science)01 natural sciencesInstability010305 fluids & plasmasPhysics and Astronomy (all)symbols.namesakeTheoretical physics0103 physical sciencesCylinder[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]010303 astronomy & astrophysicsHopf bifurcationPhysicsDirect Numerical SimulationStrouhal NumberMechanicsbody regionsDragsymbolsStrouhal numberSlip Length[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

description

International audience; Over the last few years, superhydrophobic (SH) surfaces have been receiving an increasing attention in many scientific areas by virtue of their ability to enhance flow slip past solid walls and reduce the skin-friction drag. In the present study, a global linear-stability analysis is employed to investigate the influence of the SH-induced slip velocity on the primary instability of the 2D flow past a circular cylinder. The flow regions playing the role of 'wavemaker' are identified by considering the structural sensitivity of the unstable mode, thus highlighting the effect of slip on the global instability of the considered flow. In addition, a sensitivity analysis to slip-induced base-flow modifications is performed, revealing which areas of the cylinder surface provide a stabilising/destabilising effect when treated with a SH coating.

10.1007/978-3-319-30602-5_21https://hal.archives-ouvertes.fr/hal-01978092