A numerical analysis for identification of flow transition in vortex generation in terms of local flow topology

A numerical analysis, based on a novel physical quantity of the topology, is presented to specify the key flow leading into a vortex. This analysis traces the flow transition into a vortical flow in terms of local flow geometry (topology) specified by the velocity gradient tensor, and specifies the...

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Main Authors: Katsuyuki NAKAYAMA, Lucas DIAS MIZUSHIMA
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2017-12-01
Series:Journal of Fluid Science and Technology
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jfst/12/3/12_2017jfst0027/_pdf/-char/en
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author Katsuyuki NAKAYAMA
Lucas DIAS MIZUSHIMA
author_facet Katsuyuki NAKAYAMA
Lucas DIAS MIZUSHIMA
author_sort Katsuyuki NAKAYAMA
collection DOAJ
description A numerical analysis, based on a novel physical quantity of the topology, is presented to specify the key flow leading into a vortex. This analysis traces the flow transition into a vortical flow in terms of local flow geometry (topology) specified by the velocity gradient tensor, and specifies the important flow component for the vortex transition. The transition where a non-vortical flow becomes vortical can be identified by swirlity that represents the unidirectionality and intensity of the azimuthal flow in a plane. The swirl plane after the vortex transition can be predicted by an eigenplane of real eigenvalues of the velocity gradient tensor. Then the tensor components are represented associating with the predicted plane, and their relations to the flow topology are clarified. The analysis of their transitions enables to specify the important flow components that lead the flow into a vortical flow. This numerical analysis can be applied to various turbulent flows in order to clarify the mechanism or feature of the vortex transition, or suppress a specific vortex in engineering fields.
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spelling doaj.art-cc8b0bbb1b4a4b868a40cc6dd2a68d822022-12-22T04:13:01ZengThe Japan Society of Mechanical EngineersJournal of Fluid Science and Technology1880-55582017-12-01123JFST0027JFST002710.1299/jfst.2017jfst0027jfstA numerical analysis for identification of flow transition in vortex generation in terms of local flow topologyKatsuyuki NAKAYAMA0Lucas DIAS MIZUSHIMA1Department of Mechanical Engineering, Aichi Institute of TechnologyModule Business Division, Headspring Inc.A numerical analysis, based on a novel physical quantity of the topology, is presented to specify the key flow leading into a vortex. This analysis traces the flow transition into a vortical flow in terms of local flow geometry (topology) specified by the velocity gradient tensor, and specifies the important flow component for the vortex transition. The transition where a non-vortical flow becomes vortical can be identified by swirlity that represents the unidirectionality and intensity of the azimuthal flow in a plane. The swirl plane after the vortex transition can be predicted by an eigenplane of real eigenvalues of the velocity gradient tensor. Then the tensor components are represented associating with the predicted plane, and their relations to the flow topology are clarified. The analysis of their transitions enables to specify the important flow components that lead the flow into a vortical flow. This numerical analysis can be applied to various turbulent flows in order to clarify the mechanism or feature of the vortex transition, or suppress a specific vortex in engineering fields.https://www.jstage.jst.go.jp/article/jfst/12/3/12_2017jfst0027/_pdf/-char/envortical flowtopologyswirlityswirl planeflow transition
spellingShingle Katsuyuki NAKAYAMA
Lucas DIAS MIZUSHIMA
A numerical analysis for identification of flow transition in vortex generation in terms of local flow topology
Journal of Fluid Science and Technology
vortical flow
topology
swirlity
swirl plane
flow transition
title A numerical analysis for identification of flow transition in vortex generation in terms of local flow topology
title_full A numerical analysis for identification of flow transition in vortex generation in terms of local flow topology
title_fullStr A numerical analysis for identification of flow transition in vortex generation in terms of local flow topology
title_full_unstemmed A numerical analysis for identification of flow transition in vortex generation in terms of local flow topology
title_short A numerical analysis for identification of flow transition in vortex generation in terms of local flow topology
title_sort numerical analysis for identification of flow transition in vortex generation in terms of local flow topology
topic vortical flow
topology
swirlity
swirl plane
flow transition
url https://www.jstage.jst.go.jp/article/jfst/12/3/12_2017jfst0027/_pdf/-char/en
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