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An unexpected balance between outer Rayleigh streaming sources

Type
Articles dans des revues avec comité de lecture
Author
BALTEAN-CARLÈS, Diana
247329 Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur [LIMSI]
DARU, Virginie
134975 Laboratoire de Dynamique des Fluides [DynFluid]
247329 Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur [LIMSI]
WEISMAN, Catherine
247329 Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur [LIMSI]
TABAKOVA, S.
543527 Institute of Mechanics [Sofia]
BAILLIET, Hélène
961 Laboratoire d'Acoustique de l'Université du Mans [LAUM]
118112 Institut Pprime [PPRIME]
560912 Acoustique, Aérodynamique, Turbulence [2AT ]

URI
http://hdl.handle.net/10985/18011
DOI
10.1017/jfm.2019.111
Date
2019
Journal
Journal of fluid mechanics

Abstract

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.

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