Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream

The purpose of this paper is to investigate the linear stability analysis for the laminar-turbulent transition region of the high-Reynolds-number instabilities for the boundary layer flow on a rotating disk. This investigation considers axial flow along the surface-normal direction, by studying anal...

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Autores principales: Bashar Al Saeedi, Zahir Hussain
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:f768936f8ef0465f91166c601c5c8b932021-11-25T18:17:39ZInviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream10.3390/math92229672227-7390https://doaj.org/article/f768936f8ef0465f91166c601c5c8b932021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2967https://doaj.org/toc/2227-7390The purpose of this paper is to investigate the linear stability analysis for the laminar-turbulent transition region of the high-Reynolds-number instabilities for the boundary layer flow on a rotating disk. This investigation considers axial flow along the surface-normal direction, by studying analytical expressions for the steady solution, laminar, incompressible and inviscid fluid of the boundary layer flow due to a rotating disk in the presence of a uniform injection and suction. Essentially, the physical problem represents flow entrainment into the boundary layer from the axial flow, which is transferred by the spinning disk surface into flow in the azimuthal and radial directions. In addition, through the formation of spiral vortices, the boundary layer instability is visualised which develops along the surface in spiral nature. To this end, this study illustrates that combining axial flow and suction together may act to stabilize the boundary layer flow for inviscid modes.Bashar Al SaeediZahir HussainMDPI AGarticlecross-flow instabilityco-rotating vorticesinviscid modesrotating diskthree-dimensional boundary layersMathematicsQA1-939ENMathematics, Vol 9, Iss 2967, p 2967 (2021)
institution DOAJ
collection DOAJ
language EN
topic cross-flow instability
co-rotating vortices
inviscid modes
rotating disk
three-dimensional boundary layers
Mathematics
QA1-939
spellingShingle cross-flow instability
co-rotating vortices
inviscid modes
rotating disk
three-dimensional boundary layers
Mathematics
QA1-939
Bashar Al Saeedi
Zahir Hussain
Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream
description The purpose of this paper is to investigate the linear stability analysis for the laminar-turbulent transition region of the high-Reynolds-number instabilities for the boundary layer flow on a rotating disk. This investigation considers axial flow along the surface-normal direction, by studying analytical expressions for the steady solution, laminar, incompressible and inviscid fluid of the boundary layer flow due to a rotating disk in the presence of a uniform injection and suction. Essentially, the physical problem represents flow entrainment into the boundary layer from the axial flow, which is transferred by the spinning disk surface into flow in the azimuthal and radial directions. In addition, through the formation of spiral vortices, the boundary layer instability is visualised which develops along the surface in spiral nature. To this end, this study illustrates that combining axial flow and suction together may act to stabilize the boundary layer flow for inviscid modes.
format article
author Bashar Al Saeedi
Zahir Hussain
author_facet Bashar Al Saeedi
Zahir Hussain
author_sort Bashar Al Saeedi
title Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream
title_short Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream
title_full Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream
title_fullStr Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream
title_full_unstemmed Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-Stream
title_sort inviscid modes within the boundary-layer flow of a rotating disk with wall suction and in an external free-stream
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/f768936f8ef0465f91166c601c5c8b93
work_keys_str_mv AT basharalsaeedi inviscidmodeswithintheboundarylayerflowofarotatingdiskwithwallsuctionandinanexternalfreestream
AT zahirhussain inviscidmodeswithintheboundarylayerflowofarotatingdiskwithwallsuctionandinanexternalfreestream
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