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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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/22/2967 |
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| author | Bashar Al Saeedi Zahir Hussain |
| author_facet | Bashar Al Saeedi Zahir Hussain |
| author_sort | Bashar Al Saeedi |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T05:19:19Z |
| format | Article |
| id | doaj.art-f768936f8ef0465f91166c601c5c8b93 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T05:19:19Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f768936f8ef0465f91166c601c5c8b932023-11-23T00:15:48ZengMDPI AGMathematics2227-73902021-11-01922296710.3390/math9222967Inviscid Modes within the Boundary-Layer Flow of a Rotating Disk with Wall Suction and in an External Free-StreamBashar Al Saeedi0Zahir Hussain1Aerospace and Computational Engineering, School of Engineering, University of Leicester, Leicester LE1 7RH, UKAerospace and Computational Engineering, School of Engineering, University of Leicester, Leicester LE1 7RH, UKThe 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.https://www.mdpi.com/2227-7390/9/22/2967cross-flow instabilityco-rotating vorticesinviscid modesrotating diskthree-dimensional boundary layers |
| spellingShingle | 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 Mathematics cross-flow instability co-rotating vortices inviscid modes rotating disk three-dimensional boundary layers |
| title | 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_short | 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 |
| topic | cross-flow instability co-rotating vortices inviscid modes rotating disk three-dimensional boundary layers |
| url | https://www.mdpi.com/2227-7390/9/22/2967 |
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