<div class="csl-bib-body">
<div class="csl-entry">Müllner, M. (2018). Near-critical turbulent open-channel flow over wavy bottom. <i>Proceedings in Applied Mathematics and Mechanics</i>, <i>18</i>(1), Article e201800272. https://doi.org/10.1002/pamm.201800272</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/67882
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dc.description.abstract
Steady two-dimensional turbulent free-surface flow in a channel with mild baseline slope is considered. The shape of the
channel bottom is assumed to be undular with a very small amplitude. Asymptotic expansions for large Reynolds numbers
and Froude numbers slightly above the critical value 1, respectively, give for the surface elevation a differential equation
of KdV-type, with the additional terms representing turbulent dissipation and forcing due to the wavy bottom, respectively.
No turbulence modelling is required. This asymptotic approach was used in [1] to describe stationary solitary waves in a
channel with plain bottom and small variations in the bottom friction coefficient. It was shown recently [2, 3] that there exist
stationary single-wave solutions of a different kind that are characterized by smaller wave amplitudes. In [4], both kinds of
single stationary waves above single obstacles (bumps, ramps) are investigated theoretically and experimentally.
In this paper, stationary space-periodic surface waves for channel bottoms with undular shape are studied. First, a oneparametric
family of exact solutions for particular bottom shapes is derived. Remarkably, these particular solutions exist
only in a narrow parameter range. The solutions are reproduced with a numerical solver to verify that the solver gives correct
results. Secondly, a different type of asymptotic expansion is performed in order to describe solutions characterized by smaller
wave amplitudes. The resulting linear differential equation is solved numerically. Both solutions are briefly discussed.
en
dc.description.sponsorship
Vereine, Stiftungen, Preise
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dc.language.iso
en
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dc.publisher
Wiley
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dc.relation.ispartof
Proceedings in Applied Mathematics and Mechanics
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dc.title
Near-critical turbulent open-channel flow over wavy bottom
en
dc.type
Artikel
de
dc.type
Article
en
dc.type.category
Other Contribution
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dc.relation.eissn
1617-7061
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dc.publisher.place
18
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tuw.container.volume
18
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tuw.container.issue
1
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tuw.peerreviewed
false
-
tuw.project.title
AIC Androsch International Management Consulting GmbH
Research on Fluid Mechaniks and Heat Transfer
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dcterms.isPartOf.title
Proceedings in Applied Mathematics and Mechanics
-
tuw.publication.orgunit
E322 - Institut für Strömungsmechanik und Wärmeübertragung
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tuw.publisher.doi
10.1002/pamm.201800272
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dc.identifier.articleid
e201800272
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dc.identifier.eissn
1617-7061
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dc.description.numberOfPages
2
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wb.sciencebranch
Maschinenbau
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
2030
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wb.sciencebranch.oefos
1010
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wb.facultyfocus
Numerische Ingenieursmethoden und IT gestütztes Engineering
de
wb.facultyfocus
Numerische Ingenieursmethoden und IT gestütztes Engineering
en
wb.facultyfocus.faculty
E300
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item.grantfulltext
none
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item.openairecristype
http://purl.org/coar/resource_type/c_6501
-
item.cerifentitytype
Publications
-
item.languageiso639-1
en
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item.fulltext
no Fulltext
-
crisitem.author.dept
E322 - Institut für Strömungsmechanik und Wärmeübertragung
-
crisitem.author.parentorg
E300 - Fakultät für Maschinenwesen und Betriebswissenschaften