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The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Fri, 01 Mar 2024 04:25:11 GMT2024-03-01T04:25:11ZAn unexpected balance between outer Rayleigh streaming sources
http://hdl.handle.net/10985/18011
An unexpected balance between outer Rayleigh streaming sources
BALTEAN-CARLÈS, Diana; DARU, Virginie; WEISMAN, Catherine; TABAKOVA, S.; BAILLIET, Hélène
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.
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/10985/180112019-01-01T00:00:00ZBALTEAN-CARLÈS, DianaDARU, VirginieWEISMAN, CatherineTABAKOVA, S.BAILLIET, HélèneAcoustic 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.