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Linear stability of the flow in a toroidal pipe
KTH, School of Engineering Sciences (SCI), Mechanics. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0003-3211-4347
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.ORCID iD: 0000-0001-9627-5903
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW. KTH, School of Engineering Sciences (SCI), Mechanics, Fluid Physics. KTH, School of Industrial Engineering and Management (ITM), Centres, Competence Center for Gas Exchange (CCGEx). KTH, Centres, SeRC - Swedish e-Science Research Centre.ORCID iD: 0000-0002-1663-3553
2015 (English)In: 9th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2015, TSFP-9 , 2015Conference paper, Published paper (Refereed)
Abstract [en]

While hydrodynamic stability and transition to turbulence in straight pipes - being one of the most fundamental problems in fluid mechanics - has been studied extensively, the stability of curved pipes has received less attention. In the present work, the first (linear) instability of the canonical flow inside a toroidal pipe is investigated as a first step in the study of the related laminar-turbulent transition process. The impact of the curvature of the pipe, in the range 8 e [0.002,1], on the stability properties of the flow is studied in the framework of linear stability analysis. Results show that the flow is indeed modally unstable for all curvatures investigated and that the wave number corresponding to the critical mode depends on the curvature, as do several other features of this problem. The critical modes are mainly located in the region of the Dean vortices, and are characterised by oscillations which are symmetric or antisymmetric as a function of the curvature. The neutral curve associated with the first bifurcation is the result of a complex interaction between isolated modes and branches composed by several modes characterised by a common structure. This behaviour is in obvious contrast to that of straight pipes, which are linearly stable for all Reynolds numbers.

Place, publisher, year, edition, pages
TSFP-9 , 2015.
Keywords [en]
Fluid mechanics, Linear stability analysis, Pipe, Reynolds number, Stability, Turbulence, Common structures, Critical modes, Hydrodynamic stability, Isolated modes, Laminar turbulent transitions, Linear Stability, Stability properties, Transition to turbulence, Shear flow
National Category
Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-222959Scopus ID: 2-s2.0-85034452062ISBN: 9780000000002 OAI: oai:DiVA.org:kth-222959DiVA, id: diva2:1193353
Conference
9th International Symposium on Turbulence and Shear Flow Phenomena, TSFP 2015, 30 June 2015 through 3 July 2015
Note

QC 20180326

Available from: 2018-03-26 Created: 2018-03-26 Last updated: 2018-05-24Bibliographically approved

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Canton, JacopoSchlatter, PhilippÖrlü, Ramis

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MechanicsLinné Flow Center, FLOWSeRC - Swedish e-Science Research CentreFluid PhysicsCompetence Center for Gas Exchange (CCGEx)
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