Codimension three bifurcation of streamline patterns close to a no-slip wall: A topological description of boundary layer eruption

A. Balci, M. Andersen, M. C. Thompson, M. Brøns

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

A vortex close to a no-slip wall gives rise to the creation of new vorticity at the wall. This vorticity may organize itself into vortices that erupt from the separated boundary layer. We study how the eruption process in terms of the streamline topology is initiated and varies in dependence of the Reynolds number Re. We show that vortex structures are created in the boundary layer for Re around 600, but that these disappear again without eruption unless Re > 1000. The eruption process is topologically unaltered for Re up to 5000. Using bifurcation theory, we obtain a topological phase space for the eruption process, which can account for all observed changes in the Reynolds number range we consider. The bifurcation diagram complements previously analyzes such that the classification of topological bifurcations of flows close to no-slip walls with up to three parameters is now complete.
OriginalsprogEngelsk
TidsskriftPhysics of Fluids
Vol/bind27
Udgave nummer5
Sider (fra-til)-
ISSN1070-6631
DOI
StatusUdgivet - 2015

Citer dette

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Codimension three bifurcation of streamline patterns close to a no-slip wall: A topological description of boundary layer eruption. / Balci, A.; Andersen, M.; Thompson, M. C.; Brøns, M.

I: Physics of Fluids, Bind 27, Nr. 5, 2015, s. -.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Codimension three bifurcation of streamline patterns close to a no-slip wall: A topological description of boundary layer eruption

AU - Balci, A.

AU - Andersen, M.

AU - Thompson, M. C.

AU - Brøns, M.

PY - 2015

Y1 - 2015

N2 - A vortex close to a no-slip wall gives rise to the creation of new vorticity at the wall. This vorticity may organize itself into vortices that erupt from the separated boundary layer. We study how the eruption process in terms of the streamline topology is initiated and varies in dependence of the Reynolds number Re. We show that vortex structures are created in the boundary layer for Re around 600, but that these disappear again without eruption unless Re > 1000. The eruption process is topologically unaltered for Re up to 5000. Using bifurcation theory, we obtain a topological phase space for the eruption process, which can account for all observed changes in the Reynolds number range we consider. The bifurcation diagram complements previously analyzes such that the classification of topological bifurcations of flows close to no-slip walls with up to three parameters is now complete.

AB - A vortex close to a no-slip wall gives rise to the creation of new vorticity at the wall. This vorticity may organize itself into vortices that erupt from the separated boundary layer. We study how the eruption process in terms of the streamline topology is initiated and varies in dependence of the Reynolds number Re. We show that vortex structures are created in the boundary layer for Re around 600, but that these disappear again without eruption unless Re > 1000. The eruption process is topologically unaltered for Re up to 5000. Using bifurcation theory, we obtain a topological phase space for the eruption process, which can account for all observed changes in the Reynolds number range we consider. The bifurcation diagram complements previously analyzes such that the classification of topological bifurcations of flows close to no-slip walls with up to three parameters is now complete.

U2 - 10.1063/1.4921527

DO - 10.1063/1.4921527

M3 - Journal article

VL - 27

SP - -

JO - Physics of Fluids

JF - Physics of Fluids

SN - 1070-6631

IS - 5

ER -