<div class="csl-bib-body">
<div class="csl-entry">Scheichl, B., Klettner, C. A., & Smith, F. T. (2025, June 26). <i>Stewartson’s collision problem on a sphere and on spheroids</i> [Conference Presentation]. British Mathematical Colloquium and British Applied Mathematics Colloquium 2025 (BMC-BAMC 2025), Exeter, United Kingdom of Great Britain and Northern Ireland (the). https://doi.org/10.34726/9999</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/216866
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dc.identifier.uri
https://doi.org/10.34726/9999
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dc.description
We consider the flow induced by a rigid sphere and, in an extension of our study, oblate/prolate spheroids spinning about their axes of rotational symmetry in an otherwise quiescent Newtonian fluid of uniform properties that fills an unbounded domain. Here we distinguish between the unsteady flow due to (impulsive) start-up from rest and the (asymptotically attained) steady one. The associated Reynolds number (Re), as the only parameter at play, shall take on arbitrarily large values. We tackle this classical problem by solving the full Navier-Stokes equations numerically using a finite-volume technique as well as by rigorous asymptotic analysis. The most intriguing and still controversially debated questions concern the existence of a steady state for all values of Re and here specifically of two symmetric toroidal vortices astride the equatorial plane, engendered by the colliding longitudinal wall jets that emanate from the poles. Stewartson (1958) proposed a structure of stationary collision, but its self-consistent completion faces severe challenges. In contrast to claims made very recently, we demonstrate theoretically why Smith & Duck’s (1977) conflicting alternative structure, resorting to free viscous-inviscid interaction, is to be favoured. However, we furthermore show the inexistence of a perfectly stationary flow. This is also substantiated by our detection of an upper bound of Re for stationarity, the equatorial finite-time break-up that terminates the solution of the wall layer problem and the first steps of its regularisation, revealing a permanently unsteady radially ejected jet.
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
rigid sphere
en
dc.subject
spheroids spinning
en
dc.subject
Stewartson’s collision
en
dc.title
Stewartson’s collision problem on a sphere and on spheroids
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.rights.license
Urheberrechtsschutz
de
dc.rights.license
In Copyright
en
dc.identifier.doi
10.34726/9999
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dc.contributor.affiliation
University College London, United Kingdom of Great Britain and Northern Ireland (the)
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dc.contributor.affiliation
University College London, United Kingdom of Great Britain and Northern Ireland (the)
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dc.rights.holder
Bernhard Scheichl
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dc.type.category
Conference Presentation
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tuw.researchTopic.id
C2
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tuw.researchTopic.id
C6
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tuw.researchTopic.name
Computational Fluid Dynamics
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tuw.researchTopic.name
Modeling and Simulation
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tuw.researchTopic.value
50
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tuw.researchTopic.value
50
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tuw.publication.orgunit
E322-01 - Forschungsbereich Strömungsmechanik
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tuw.author.orcid
0000-0002-5685-9653
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tuw.author.orcid
0000-0002-3944-4907
-
tuw.author.orcid
0000-0003-4850-995X
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dc.rights.identifier
Urheberrechtsschutz
de
dc.rights.identifier
In Copyright
en
tuw.event.name
British Mathematical Colloquium and British Applied Mathematics Colloquium 2025 (BMC-BAMC 2025)
en
tuw.event.startdate
23-06-2025
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tuw.event.enddate
26-06-2025
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Exeter
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tuw.event.country
GB
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tuw.event.institution
University of Exeter, London Mathematical Society (LMS)
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tuw.event.presenter
Scheichl, Bernhard
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tuw.event.track
Multi Track
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wb.sciencebranch
Maschinenbau
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wb.sciencebranch
Physik, Astronomie
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
2030
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wb.sciencebranch.oefos
1030
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
5
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wb.sciencebranch.value
25
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wb.sciencebranch.value
70
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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item.cerifentitytype
Publications
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item.openaccessfulltext
Open Access
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item.openairetype
conference paper not in proceedings
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item.languageiso639-1
en
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item.grantfulltext
mixedopen
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item.mimetype
application/pdf
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item.fulltext
with Fulltext
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crisitem.author.dept
E322-01 - Forschungsbereich Strömungsmechanik
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crisitem.author.dept
University College London, United Kingdom of Great Britain and Northern Ireland (the)
-
crisitem.author.dept
University College London, United Kingdom of Great Britain and Northern Ireland (the)
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crisitem.author.orcid
0000-0002-5685-9653
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crisitem.author.parentorg
E322 - Institut für Strömungsmechanik und Wärmeübertragung
