Formation of coherent structures in a class of realistic 3D unsteady flows

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Abstract

The formation of coherent structures in three-dimensional (3D) unsteady laminar flows in a cylindrical cavity is reviewed. The discussion concentrates on two main topics: the role of symmetries and fluid inertia in the formation of coherent structures and the ramifications for the Lagrangian transport properties of passive tracers. We consider a number of time-periodic flows that each capture a basic dynamic state of 3D flows: 1D motion on closed trajectories, (quasi-)2D motion within (approximately) 2D subregions of the flow domain and truly 3D chaotic advection. It is shown that these states and their corresponding coherent structures are inextricably linked to symmetries (or absence thereof) in the flow. Symmetry breaking by fluid inertia and the resulting formation of intricate coherent structures and (local) onset of 3D chaos is demonstrated. Finally, first experimental analyses on coherent structures and the underlying role of symmetries are discussed.
Original languageEnglish
Title of host publicationFluid Dynamics in Physics, Engineering and Environmental Applications
EditorsJ. Klapp, A. Medina, A. Cros, C. Vargas
PublisherSpringer
Pages139-157
Number of pages19
ISBN (Print)978-3-642-27722-1
DOIs
Publication statusPublished - 2013
Eventconference; XVII Annual and Enzo Levi 2011 Meetings of the Fluid Dynamics Division of the Mexican Physical Society -
Duration: 1 Jan 2013 → …

Publication series

NameEnvironmental Science and Engineering
ISSN (Print)1863-5520

Conference

Conferenceconference; XVII Annual and Enzo Levi 2011 Meetings of the Fluid Dynamics Division of the Mexican Physical Society
Period1/01/13 → …
OtherXVII Annual and Enzo Levi 2011 Meetings of the Fluid Dynamics Division of the Mexican Physical Society

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unsteady flow
inertia
symmetry
fluids
advection
laminar flow
tracers
chaos
broken symmetry
transport properties
trajectories
cavities

Cite this

Speetjens, M. F. M., & Clercx, H. J. H. (2013). Formation of coherent structures in a class of realistic 3D unsteady flows. In J. Klapp, A. Medina, A. Cros, & C. Vargas (Eds.), Fluid Dynamics in Physics, Engineering and Environmental Applications (pp. 139-157). (Environmental Science and Engineering). Springer. https://doi.org/10.1007/978-3-642-27723-8_9
Speetjens, M.F.M. ; Clercx, H.J.H. / Formation of coherent structures in a class of realistic 3D unsteady flows. Fluid Dynamics in Physics, Engineering and Environmental Applications. editor / J. Klapp ; A. Medina ; A. Cros ; C. Vargas. Springer, 2013. pp. 139-157 (Environmental Science and Engineering).
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Speetjens, MFM & Clercx, HJH 2013, Formation of coherent structures in a class of realistic 3D unsteady flows. in J Klapp, A Medina, A Cros & C Vargas (eds), Fluid Dynamics in Physics, Engineering and Environmental Applications. Environmental Science and Engineering, Springer, pp. 139-157, conference; XVII Annual and Enzo Levi 2011 Meetings of the Fluid Dynamics Division of the Mexican Physical Society, 1/01/13. https://doi.org/10.1007/978-3-642-27723-8_9

Formation of coherent structures in a class of realistic 3D unsteady flows. / Speetjens, M.F.M.; Clercx, H.J.H.

Fluid Dynamics in Physics, Engineering and Environmental Applications. ed. / J. Klapp; A. Medina; A. Cros; C. Vargas. Springer, 2013. p. 139-157 (Environmental Science and Engineering).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

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AB - The formation of coherent structures in three-dimensional (3D) unsteady laminar flows in a cylindrical cavity is reviewed. The discussion concentrates on two main topics: the role of symmetries and fluid inertia in the formation of coherent structures and the ramifications for the Lagrangian transport properties of passive tracers. We consider a number of time-periodic flows that each capture a basic dynamic state of 3D flows: 1D motion on closed trajectories, (quasi-)2D motion within (approximately) 2D subregions of the flow domain and truly 3D chaotic advection. It is shown that these states and their corresponding coherent structures are inextricably linked to symmetries (or absence thereof) in the flow. Symmetry breaking by fluid inertia and the resulting formation of intricate coherent structures and (local) onset of 3D chaos is demonstrated. Finally, first experimental analyses on coherent structures and the underlying role of symmetries are discussed.

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Speetjens MFM, Clercx HJH. Formation of coherent structures in a class of realistic 3D unsteady flows. In Klapp J, Medina A, Cros A, Vargas C, editors, Fluid Dynamics in Physics, Engineering and Environmental Applications. Springer. 2013. p. 139-157. (Environmental Science and Engineering). https://doi.org/10.1007/978-3-642-27723-8_9