Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel
We develop a hybrid of computational and theoretical approaches suited to study the fluid–structure interaction (FSI) of a compliant panel, flush between rigid upstream and downstream wall sections, with a Blasius boundary-layer flow. The ensuing linear-stability analysis is focused upon global inst...
| Main Authors: | , |
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| Format: | Journal Article |
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Springer India
2015
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| Online Access: | http://purl.org/au-research/grants/arc/DP1096376 http://hdl.handle.net/20.500.11937/22576 |
| _version_ | 1848750908818587648 |
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| author | Tsigklifis, Konstantinos Lucey, Anthony |
| author_facet | Tsigklifis, Konstantinos Lucey, Anthony |
| author_sort | Tsigklifis, Konstantinos |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We develop a hybrid of computational and theoretical approaches suited to study the fluid–structure interaction (FSI) of a compliant panel, flush between rigid upstream and downstream wall sections, with a Blasius boundary-layer flow. The ensuing linear-stability analysis is focused upon global instability and transient growth of disturbances. The flow solution is developed using a combination of vortex and source boundary-element sheets on a computational grid while the dynamics of a plate-spring compliant wall are couched in finite-difference form. The fully coupled FSI system is then written as an eigenvalue problem and the eigenvalues of the various flow- and wall-based instabilities are analysed. It is shown that coalescence or resonance of a structural eigenmode with either a flow-based Tollmien–Schlichting Wave (TSW) or wall-based travelling-wave flutter (TWF) modes can occur. This can render the nature of these well-known convective instabilities to become global for a finite compliant wall giving temporal growth of system disturbances. Finally, a non-modal analysis based on the linear superposition of the extracted temporal modes is presented. This reveals a high level of transient growth when the flow interacts with a compliant panel that has structural properties which render the FSI system prone to global instability. Thus, to design stable finite compliant panels for applications such as boundary-layer transition postponement, both global instabilities and transient growth must be taken into account. |
| first_indexed | 2025-11-14T07:44:19Z |
| format | Journal Article |
| id | curtin-20.500.11937-22576 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:44:19Z |
| publishDate | 2015 |
| publisher | Springer India |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-225762018-07-19T06:44:58Z Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel Tsigklifis, Konstantinos Lucey, Anthony We develop a hybrid of computational and theoretical approaches suited to study the fluid–structure interaction (FSI) of a compliant panel, flush between rigid upstream and downstream wall sections, with a Blasius boundary-layer flow. The ensuing linear-stability analysis is focused upon global instability and transient growth of disturbances. The flow solution is developed using a combination of vortex and source boundary-element sheets on a computational grid while the dynamics of a plate-spring compliant wall are couched in finite-difference form. The fully coupled FSI system is then written as an eigenvalue problem and the eigenvalues of the various flow- and wall-based instabilities are analysed. It is shown that coalescence or resonance of a structural eigenmode with either a flow-based Tollmien–Schlichting Wave (TSW) or wall-based travelling-wave flutter (TWF) modes can occur. This can render the nature of these well-known convective instabilities to become global for a finite compliant wall giving temporal growth of system disturbances. Finally, a non-modal analysis based on the linear superposition of the extracted temporal modes is presented. This reveals a high level of transient growth when the flow interacts with a compliant panel that has structural properties which render the FSI system prone to global instability. Thus, to design stable finite compliant panels for applications such as boundary-layer transition postponement, both global instabilities and transient growth must be taken into account. 2015 Journal Article http://hdl.handle.net/20.500.11937/22576 10.1007/s12046-015-0360-z http://purl.org/au-research/grants/arc/DP1096376 Springer India fulltext |
| spellingShingle | Tsigklifis, Konstantinos Lucey, Anthony Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel |
| title | Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel |
| title_full | Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel |
| title_fullStr | Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel |
| title_full_unstemmed | Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel |
| title_short | Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel |
| title_sort | global instabilities and transient growth in blasius boundary-layer flow over a compliant panel |
| url | http://purl.org/au-research/grants/arc/DP1096376 http://hdl.handle.net/20.500.11937/22576 |