An unexpected balance between outer Rayleigh streaming sources
Article dans une revue avec comité de lecture
Date
2019Journal
Journal of Fluid MechanicsAbstract
Acoustic streaming generated by a plane standing wave between two infinite plates or inside a cylindrical tube is considered, under the isentropic flow assumption. A two-dimensional analysis is performed in the linear case of slow streaming motion, based on analytical formal solutions of separate problems, each associated with a specific source term (Reynolds stress term). In order to obtain these analytical solutions, a necessary geometrical hypothesis is that (R/L)2 << 1, where R and L are the guide half-width (or radius) and length. The effect of the two source terms classically taken into account is quantified in order to derive the dependence of the maximum axial streaming velocity on the axis as a function of the ratio R/δν , where δν is the acoustic boundary layer thickness. The effect of two other source terms that are usually neglected, is then analysed. It is found that one of these terms can generate a counter-rotating streaming flow. While negligible for very narrow guides, this term can become important for some values of the aspect ratio L/R.
Files in this item
Collections
Related items
Showing items related by title, author, creator and subject.
-
Article dans une revue avec comité de lectureREYT, Ida; BAILLIET, Hélène; MOREAU, Solène; VALIERE, Jean-Christophe; BALTEAN-CARLÈS, Diana; WEISMAN, Catherine; DARU, Virginie (Acoustical Society of America, 2013)Rayleigh streaming in a cylindrical acoustic standing waveguide is studied both experimentally and numerically for nonlinear Reynolds numbers from 1 to 30. Streaming velocity is measured by means of laser Doppler velocimetry ...
-
Article dans une revue avec comité de lectureREYT, Ida; BAILLIET, Hélène; WEISMAN, Catherine; BALTEAN-CARLÈS, Diana; DARU, Virginie (Acoustical Society of America, 2017)Rayleigh streaming is a steady flow generated by the interaction between an acoustic wave and a solid wall, generally assumed to be second order in a Mach number expansion. Acoustic streaming is well known in the case of ...
-
Article dans une revue avec comité de lectureWEISMAN, Catherine; BALTEAN-CARLÈS, Diana; REYT, Ida; BAILLIET, Hélène; DARU, Virginie (Elsevier, 2017)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 ...
-
Article dans une revue avec comité de lectureWEISMAN, Catherine; BALTEAN-CARLÈS, Diana; BAILLIET, Hélène; DARU, Virginie (Acoustical Society of America (ASA), 2021)coupling between thermal effects and Rayleigh streaming in a standing wave guide at high acoustic levels is analyzed numerically. The approach is guided by the recent analytical study, showing that reverse streaming cells ...
-
Article dans une revue avec comité de lectureWEISMAN, Catherine; BALTEAN-CARLÈS, Diana; BAILLIET, Hélène; DARU, Virginie (Cambridge University Press (CUP), 2021)The present study focuses on acoustically induced thermal effects on Rayleigh streaming inside a resonator. Firstly, we consider the effect of the transverse (or wall-normal) mean temperature gradient on the acoustic ...