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

Abstract : Rayleigh streaming in a cylindrical acoustic standing waveguide is studied both experimentally and numerically for nonlinear Reynolds numbers from 1 to 30 [Re NL ¼ ðU 0 =c 0 Þ 2 ðR=d Þ 2 ; with U 0 the acoustic velocity amplitude at the velocity antinode, c 0 the speed of sound, R the tube radius, and d the acoustic boundary layer thickness]. Streaming velocity is measured by means of laser Doppler velocimetry in a cylindrical resonator filled with air at atmospheric pressure at high intensity sound levels. The compressible Navier-Stokes equations are solved numerically with high resolution finite difference schemes. The resonator is excited by shaking it along the axis at imposed frequency. Results of measurements and of numerical calculation are compared with results given in the literature and with each other. As expected, the axial streaming velocity measured and calculated agrees reasonably well with the slow streaming theory for small Re NL but deviates significantly from such predictions for fast streaming (Re NL > 1). Both experimental and numerical results show that when Re NL is increased, the center of the outer streaming cells are pushed toward the acoustic velocity nodes until counter-rotating additional vortices are generated near the acoustic velocity antinodes.
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Ida Reyt, Virginie Daru, Hélène Bailliet, Solène Moreau, Jean-Christophe Valière, et al.. Fast acoustic streaming in standing waves: Generation of an additional outer streaming cell. Journal of the Acoustical Society of America, Acoustical Society of America, 2013, 134 (3), pp.1791-1801. ⟨10.1121/1.4817888⟩. ⟨hal-02180393⟩

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