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The Nonlinear PSE-3D Concept for Transition Prediction in Flows with a Single Slowly-varying Spatial Direction
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre. KTH, School of Engineering Sciences (SCI), Mechanics. FOI, Sweden.ORCID iD: 0000-0002-5913-5431
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0001-7864-3071
2015 (English)In: Procedia IUTAM, Elsevier, 2015, 36-44 p.Conference paper (Refereed)
Abstract [en]

A number of flow cases of practical significance exhibit a predominant spatial direction, along which the mean properties of the flow field vary slowly while having fast variations on the cross-sectional planes. This property is taken into account when the three- dimensional parabolized stability equations (PSE-3D) are derived. These equations represent the most efficient approach for the solution of the instability problem of such flows. In this work, the linear PSE-3D are extended to predict the nonlinear development of perturbations in this kind of complex three-dimensional flows. The newly developed method is formulated and verified for different flow problems of interest. Firstly, it has been verified by computing the evolution of linear and nonlinear Tollmien- Schlichting waves in Blasius boundary layer, showing excellent agreement with traditional nonlinear PSE predictions. Also, the evolution of optimal streaks is simulated and compared against direct numerical simulations. Finally, the nonlinear development of stationary crossflow instabilities in a three-dimensional boundary layer is monitored using a non-orthogonal coordinate system to follow the instability trajectory, showing again a very good agreement with PSE results.

Place, publisher, year, edition, pages
Elsevier, 2015. 36-44 p.
Keyword [en]
boundary layers, crossflow instability, instability analysis, nonlinear PSE-3D, optimal streaks, Stability, Complex three dimensional flow, Cross-flow instabilities, Non-orthogonal coordinates, Parabolized stability equations, Three-dimensional boundary layers, Tollmien-Schlichting waves, Atmospheric thermodynamics
National Category
Fluid Mechanics and Acoustics
URN: urn:nbn:se:kth:diva-176129DOI: 10.1016/j.piutam.2015.03.021ISI: 000380499200004ScopusID: 2-s2.0-84940658479OAI: diva2:875911
8th IUTAM-ABCM Symposium on Laminar Turbulent Transition, LTT 2014, 8 September 2014 through 12 September 2014

QC 20151202

Available from: 2015-12-02 Created: 2015-11-02 Last updated: 2016-08-30Bibliographically approved

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Hanifi, ArdeshirHenningson, Dan Stefan
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Linné Flow Center, FLOWSeRC - Swedish e-Science Research CentreMechanics
Fluid Mechanics and Acoustics

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ReferencesLink to record
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