Convective instability in inhomogeneous media: impulse response in the subcritical cylinder wake

Details Convective instability in inhomogeneous media: impulse response in the subcritical cylinder wake Convective instability in inhomogeneous media: impulse response in the subcritical cylinder wake

2010-12-06

arxiv.org/abs/1012.1121v1

Physics of Fluids, 23 : 014104 (2011)

Physics

Fluid Dynamics

Submitted to Phys. Fluids

Scientific paper

10.1063/1.3531724

We study experimentally the impulse response of a cylinder wake below the critical Reynolds number of the B\'enard-von K\'arm\'an instability. In this subcritical regime, a localized inhomogeneous region of convective instability exists which causes initial perturbations to be transiently amplified. The aim of this work is to quantify the evolution resulting from this convective instability using two-dimensional particle image velocimetry in a hydrodynamic tunnel experiment. The velocity fields allow us to describe the evolution of wave packets in terms of two control parameters: the Reynolds number and the magnitude of the imposed perturbation. The temporal evolution of energy exhibits a transient algebraic growth at short times followed by an exponential decay.

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