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Modeling of sound-turbulence interaction in low-Mach-number duct flows
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, MWL Flow acoustics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
2013 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

When sound waves propagate in a duct in the presence of turbulent flow, tur- bulent mixing can cause extra attenuation of the sound waves in addition to that caused by the viscothermal eects. Experiments show that compared to the vis- cothermal eects, turbulent absorption becomes the dominant contribution to the sound attenuation at suciently low frequencies. The mechanism of this turbulent absorption is attributed to the turbulent stress and the turbulent heat transfer act- ing on the coherent perturbations (including to sound waves) near the duct wall, i.e. sound-turbulence interaction.

The purpose of the current investigation is to understand the mechanism of the sound-turbulence interaction in low-Mach-number internal flows by means of theoretical modeling and numerical simulation. The turbulence absorption can be modeled through perturbation turbulent Reynolds stresses and perturbation turbu- lent heat flux in the linearized perturbation equations. In this thesis, the linearized perturbation equations are reviewed, and dierent models for the turbulent absorp- tion of the sound waves are investigated. In addition, a new non-equilibrium model for the perturbation turbulent Reynolds stress is proposed. The proposed model is validated by comparing the computed perturbation fields with experimental data from turbulent pipe flow measurements, and large eddy simulations (LES) of turbu- lent channel flow. Good agreements are observed.

Besides the theoretical modeling, LES is also carried out as a numerical investi- gation of the sound-turbulence interaction. Some preliminary results from the LES are presented. 

Abstract [sv]

Vid ljudutbredning i kanaler med turbulent flöde kan diusion som orsakas av turbulens ge extra dämpning av ljudvågor utöver den som orsakas av viskoter- miska eekter. Experiment visar att vid låga frekvenser ger denna absorption det dominerande bidraget till ljuddämpning. Mekanismen för denna absorption är tur- bulensens inverkan på koherenta störningar, bland annat ljudvågor, dvs ljud - tur- bulensinteraktion.

Syftet med denna undersökning är att förstå mekanismen för ljud - turbulensin- teraktion i internströmning vid låga Machtal med hjälp av teoretisk modellering och numeriska simuleringar. Ljudabsorption pga turbulens kan modelleras via mod- ellering av störningar av de turbulenta Reynoldska spänningarna och störningar i den turbulenta värmetransporten i de linjäriserade störningsekvationerna. I denna avhandling går vi igenom de linjäriserade störningsekvationerna, och olika modeller för turbulent absorption av ljudvågor utreds. Dessutom presenteras en ny icke- jämviktsmodell för små störningar av de turbulenta Reynoldska spänningarna. Den föreslagna modellen utvärderas genom att de beräknade störningsfältet jämförs med experimentella data från mätningar i rör med turbulent strömning, samt med Large Eddy Simulations (LES) av turbulent strömning. God överensstämmelse kan visas. Förutom teoretisk modellering, kommer LES också att användas för att numeriskt undersöka ljud - turbulensinteraktion. Några preliminära resultat från LES presen- teras. 

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2013. , viii, 55 p.
Series
Trita-AVE, ISSN 1651-7660 ; 2013:55
National Category
Fluid Mechanics and Acoustics
Research subject
Järnvägsgruppen - Ljud och vibrationer
Identifiers
URN: urn:nbn:se:kth:diva-129319OAI: oai:DiVA.org:kth-129319DiVA: diva2:651660
Presentation
2013-10-11, Sal H1, Teknikringen 33, KTH, Stockholm, 13:00 (English)
Opponent
Supervisors
Note

QC 20130927

Available from: 2013-09-27 Created: 2013-09-26 Last updated: 2013-09-30Bibliographically approved
List of papers
1. The attenuation of sound by turbulence in internal flows
Open this publication in new window or tab >>The attenuation of sound by turbulence in internal flows
2013 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, E-ISSN 1520-8524, Vol. 133, no 6, 3764-3776 p.Article in journal (Refereed) Published
Abstract [en]

The attenuation of sound waves due to interaction with low Mach number turbulent boundary layers in internal flows (channel or pipe flow) is examined. Dynamic equations for the turbulent Reynolds stress on the sound wave are derived, and the analytical solution to the equation provides a frequency dependent eddy viscosity model. This model is used to predict the attenuation of sound propagating in fully developed turbulent pipe flow. The predictions are shown to compare well with the experimental data. The proposed dynamic equation shows that the turbulence behaves like a viscoelastic fluid in the interaction process, and that the ratio of turbulent relaxation time near the wall and the sound wave period is the parameter that controls the characteristics of the attenuation induced by the turbulent flow.

Place, publisher, year, edition, pages
USA: Acoustical Society of America (ASA), 2013
Keyword
acoustic wave absorption, acoustic wave propagation, boundary layer turbulence, channel flow, Mach number, non-Newtonian fluids, pipe flow, viscosity
National Category
Fluid Mechanics and Acoustics
Research subject
Järnvägsgruppen - Ljud och vibrationer
Identifiers
urn:nbn:se:kth:diva-123752 (URN)10.1121/1.4802894 (DOI)000320173600020 ()2-s2.0-84878911063 (Scopus ID)
Funder
Swedish Research Council, SDA 26211
Note

QC 20130927

Available from: 2013-06-17 Created: 2013-06-17 Last updated: 2017-12-06Bibliographically approved
2. Sound-turbulence interaction in low Mach number duct flow
Open this publication in new window or tab >>Sound-turbulence interaction in low Mach number duct flow
2013 (English)In: 19th AIAA/CEAS Aeroacoustics Conference, American Institute of Aeronautics and Astronautics, 2013Conference paper, Published paper (Other academic)
Abstract [en]

When sound waves propagate in ducts with the presence of turbulent flow, turbulent stresses can cause extra attenuation of the wave in addition to that caused by viscothermal effects. Different models for the turbulent stress acting on the sound waves are investigated in this study, and they are applied to compute the wall shear stress impedance of sound waves. Among these models the non-equilibrium model proposed by the present authors in another paper is studied in details. Attempt of including mean flow convection effect in the non-equilibrium model is made. The resulting modified model is then applied to compute the wave attenuation, and the results are compared with experimental data. 

Place, publisher, year, edition, pages
American Institute of Aeronautics and Astronautics, 2013
National Category
Fluid Mechanics and Acoustics
Research subject
Järnvägsgruppen - Ljud och vibrationer
Identifiers
urn:nbn:se:kth:diva-123753 (URN)10.2514/6.2013-2024 (DOI)2-s2.0-84883690901 (Scopus ID)978-162410213-4 (ISBN)
Conference
19th AIAA/CEAS Aeroacoustics Conference; Berlin; Germany; 27 May 2013 through 29 May 2013
Funder
Swedish Research Council, SDA 26211
Note

QC 20130710

Available from: 2013-06-17 Created: 2013-06-17 Last updated: 2015-05-26Bibliographically approved

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