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A linearized Navier-Stokes method including turbulence damping
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL. KTH, School of Industrial Engineering and Management (ITM), Centres, Competence Center for Gas Exchange (CCGEx).
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
2013 (English)In: 19th AIAA/CEAS Aeroacoustics Conference, 2013Conference paper, Published paper (Refereed)
Abstract [en]

In this paper, a method for including damping of acoustic energy in regions of strong turbulence is derived for a linearized Navier-Stokes method in the frequency domain. The result is applied in a study of the linear interaction of the acoustic and the hydrodynamic field in a 2D T-junction, subject to grazing flow at Mach 0.1. As the acoustic waves travel in regions of strong shear, there is a need to include the interaction between the background turbulence and the acoustic field. For this purpose, the oscillation of the background turbulence Reynold's stress, due to the acoustic field, is modeled using an eddy Newtonian model assumption. The time averaged flow is first solved for using RANS along with a k-ε turbulence model. The spatially varying turbulent viscosity is then added to the spatially invariant kinematic viscosity in the acoustic set of equations. The response of the 2D T-junction to an incident acoustic field is analyzed via a plane wave scattering matrix model, and the result is compared to experimental data for a T-junction of rectangular ducts. A strong improvement in the agreement between calculation and experimental data is found when the modification proposed in this paper is implemented.

Place, publisher, year, edition, pages
2013.
Keyword [en]
Hydrodynamic field, Linearized Navier-Stokes, Rectangular ducts, Spatially invariants, Strong turbulence, Time-averaged flow, Turbulence damping, Turbulent viscosity
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-133280Scopus ID: 2-s2.0-84883665749ISBN: 978-162410213-4 (print)OAI: oai:DiVA.org:kth-133280DiVA: diva2:660752
Conference
19th AIAA/CEAS Aeroacoustics Conference; Berlin; Germany; 27 May 2013 through 29 May 2013
Note

QC 20131030

Available from: 2013-10-30 Created: 2013-10-29 Last updated: 2013-10-30Bibliographically approved

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Marcus Wallenberg Laboratory MWLCompetence Center for Gas Exchange (CCGEx)Linné Flow Center, FLOW
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