Inertial effects on acoustic Rayleigh streaming flow: Transient and established regimes

Virginie Daru (1, 2) , Catherine Weisman (1) , Diana Baltean-Carlès (1) , Ida Reyt (3, 2) , Hélène Bailliet (3)

1 LIMSI - Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur
2 DynFluid - Laboratoire de Dynamique des Fluides
3 PPRIME - Institut Pprime

The effect of inertia on Rayleigh streaming generated inside a cylindrical resonator where a mono-frequency standing wave is imposed, is investigated numerically and experimentally. To this effect, time evolutions of streaming cells in the near wall region and in the resonator core are analyzed. An analogy with the lid-driven cavity in a cylindrical geometry is presented in order to analyze the physical meanings of the characteristic times. Inertial effects on the established streaming flow pattern are then investigated numerically using a code solving the time averaged Navier–Stokes compressible equations, where a mono-frequency acoustic flow field is used to compute the source terms. It is shown that inertia of streaming cannot be considered as the leading phenomenon to explain the mutation of streaming at high acoustic levels.

Keywords: Nonlinear streaming; Inertial effects; Rayleigh streaming; Standing wave; Transient evolution

Domains: Engineering Sciences [physics]

Virginie Daru, Catherine Weisman, Diana Baltean-Carlès, Ida Reyt, Hélène Bailliet. Inertial effects on acoustic Rayleigh streaming flow: Transient and established regimes. Wave Motion, 2017, 74, pp.1-17. ⟨10.1016/j.wavemoti.2017.06.001⟩. ⟨hal-02385990⟩