An unexpected balance between outer Rayleigh streaming sources
| Autor: | Catherine Weisman, Virginie Daru, Hélène Bailliet, Diana Baltean-Carlès, Sonia Tabakova |
|---|---|
| Přispěvatelé: | Institut Pprime (PPRIME), Université de Poitiers-Centre National de la Recherche Scientifique (CNRS)-ENSMA, Acoustique, Aérodynamique, Turbulence (2AT ), Département Fluides, Thermique et Combustion (FTC), Université de Poitiers-Centre National de la Recherche Scientifique (CNRS)-ENSMA-Université de Poitiers-Centre National de la Recherche Scientifique (CNRS)-ENSMA-Institut Pprime (PPRIME), Université de Poitiers-Centre National de la Recherche Scientifique (CNRS)-ENSMA-Université de Poitiers-Centre National de la Recherche Scientifique (CNRS)-ENSMA, Laboratoire d'Informatique pour la Mécanique et les Sciences de l'Ingénieur (LIMSI), Université Paris Saclay (COmUE)-Centre National de la Recherche Scientifique (CNRS)-Sorbonne Université - UFR d'Ingénierie (UFR 919), Sorbonne Université (SU)-Sorbonne Université (SU)-Université Paris-Saclay-Université Paris-Sud - Paris 11 (UP11), Université de Poitiers-ENSMA-Centre National de la Recherche Scientifique (CNRS), Université de Poitiers-ENSMA-Centre National de la Recherche Scientifique (CNRS)-Université de Poitiers-ENSMA-Centre National de la Recherche Scientifique (CNRS)-Institut Pprime (PPRIME), Université de Poitiers-ENSMA-Centre National de la Recherche Scientifique (CNRS)-Université de Poitiers-ENSMA-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Aspect ratio
[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] Reynolds stress boundary layers Boundary layer thickness 01 natural sciences 010305 fluids & plasmas [SPI.AUTO]Engineering Sciences [physics]/Automatic Standing wave Acoustic streaming symbols.namesake [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph] 0103 physical sciences streaming [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] Rayleigh scattering [PHYS.MECA.BIOM]Physics [physics]/Mechanics [physics]/Biomechanics [physics.med-ph] acoustics 010301 acoustics ComputingMilieux_MISCELLANEOUS [PHYS]Physics [physics] Physics [SPI.ACOU]Engineering Sciences [physics]/Acoustics [physics.class-ph] [PHYS.MECA.VIBR]Physics [physics]/Mechanics [physics]/Vibrations [physics.class-ph] [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph] Plane (geometry) Mechanical Engineering [SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environment Mathematical analysis [SPI.NRJ]Engineering Sciences [physics]/Electric power Radius [CHIM.MATE]Chemical Sciences/Material chemistry [PHYS.MECA.MSMECA]Physics [physics]/Mechanics [physics]/Materials and structures in mechanics [physics.class-ph] Condensed Matter Physics [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph] [SPI.ELEC]Engineering Sciences [physics]/Electromagnetism [CHIM.POLY]Chemical Sciences/Polymers Mechanics of Materials symbols [PHYS.MECA.THER]Physics [physics]/Mechanics [physics]/Thermics [physics.class-ph] Mécanique: Mécanique des fluides [Sciences de l'ingénieur] low-Reynolds-number flows |
| Zdroj: | Journal of Fluid Mechanics Journal of Fluid Mechanics, Cambridge University Press (CUP), 2019, 867, pp.985-1011. ⟨10.1017/jfm.2019.111⟩ |
| ISSN: | 0022-1120 1469-7645 |
| DOI: | 10.1017/jfm.2019.111⟩ |
| Popis: | 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 $(R/L)^{2}\ll 1$, 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 $R/\unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D708}}$, where $\unicode[STIX]{x1D6FF}_{\unicode[STIX]{x1D708}}$ 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 $L/R$. |
| Databáze: | OpenAIRE |
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