Two-dimensional numerical simulations of nonlinear acoustic streaming in standing waves

Abstract

is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. AbstractNumerical simulations of compressible Navier-Stokes equations in closed twodimensional channels are performed. A plane standing wave is excited inside the channel and the associated acoustic streaming is investigated for high intensity waves, in the nonlinear streaming regime. Significant distortion of streaming cells is observed, with the centers of streaming cells pushed towards the end-walls. The mean temperature evolution associated to the streaming motion is also investigated.

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

“…Fig. 1(b) shows the distorted streaming pattern (result from the numerical simulation N 2 further described in this paper) in the fast streaming regime, when two new streaming cells are observed in the center of the guide, near the acoustic velocity antinode (z/L = 0) [19,28,29]. Several sources could potentially be responsible for this mutation of streaming pattern: thermal effects were considered [26], as well as nonlinear propagation [29] and it was concluded that inertial effects on acoustic streaming could be the main source [29].…”

“…The established streaming flow behavior for high acoustic amplitudes (i.e. in the nonlinear regime of streaming) was previously analyzed numerically [19] (with a DNS code) and experimentally [28]: additional streaming cells were observed inside the resonator [29]. Fig.…”

“…Numerical simulations for acoustic Rayleigh streaming can be found in the literature starting in the 1990's. Two approaches are used: one is based on solving the full Navier-Stokes equations for low and high intensity waves and extract the mean flow from the instantaneous flow [16][17][18], and recently [19][20][21][22] and the other approach is based on solving streaming equations for the mean flow in the linear case [23,24] or in the nonlinear case [25]. Numerical simulations as well as experimental studies (for example [26,27]) in large resonators have shown the two regimes of streaming flows associated with standing waves: slow streaming similar to Rayleigh type streaming or fast streaming where the mean flow is strongly modified when the intensity of the acoustic wave is increased.…”

Fast acoustic streaming in standing waves: Generation of an additional outer streaming cell

“…The corrective terms C r i± 1 2 ,j provide the third order accuracy and upwinding for the inviscid terms. Details on the model can be found in Daru et al 14,15,22 .…”

Effects of heat exchange and nonlinearity on acoustic streaming in a vibrating cylindrical cavity

“…For the case of thermally insulated vertical walls and differently heated horizontal walls, it was found that transverse temperature gradient strongly affects the acoustic streaming structures and velocities. 11,12 Daru et al 13 numerically studied nonlinear acoustic streaming in a closed two-dimensional gas filled channel with isothermal walls. The channel was shaken in the longitudinal direction in resonant conditions.…”