Abstract
Abstract
Highlights
The sound of flutes is produced through aeroacoustic instabilities that result from the constructive feedback between the acoustic modes of the instruments and the dynamics of a shear layer (Fabre et al 2011)
It is worth mentioning that in the present configuration, knowledge of the full time-dependent flow by particle image velocimetry (PIV) is not sufficient to quantitatively predict the forward transfer function of the aeroacoustic problem. This is because the PIV only offers partial information about the cavity flow: the sidewalls induce three-dimensional (3-D) dynamics in the shear layer oscillation, which cannot be deduced from the PIV data that are only available in the central plane
We have established in the previous sections (i) that the present aeroacoustic system is linearly unstable for a sufficiently large bulk flow velocity U and for a range of cavity lengths L, (ii) that at the border of the region corresponding to the limit cycles, only supercritical Hopf bifurcations occur and (iii) that intermittency is induced by parametric noise
Summary
The sound of flutes is produced through aeroacoustic instabilities that result from the constructive feedback between the acoustic modes of the instruments and the dynamics of a shear layer (Fabre et al 2011). For sufficiently low frequencies, the cavity opening is acoustically compact and the unsteady flow can be locally considered and simulated as incompressible Another example is the work of Gikadi, Föller & Sattelmayer (2014), where the compressible Navier–Stokes equations are linearized around a mean grazing flow obtained from LES and where the forward transfer function and transfer matrices are successfully compared with the experiments from Karlsson & Åbom (2010). In the present work the forward and backward transfer functions are measured for ranges of grazing flow velocities, cavity depths and acoustic amplitudes, and used for deriving a new low-order model of the aeroacoustic system in the form of two coupled oscillators This formulation allows us to revisit this classic problem and to provide novel insights into the underlying deterministic and stochastic dynamics.
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