A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls
An asymptotic theory is developed and applied to two- and three-dimensional disturbances developing in boundary layers over isotropic and anisotropic compliant walls. The theory utilizes the multideck structure of a two- dimensional boundary layer to derive asymptotic approximations at a high Reynol...
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Veröffentlicht in: | Theoretical and computational fluid dynamics 1990-01, Vol.1 (6), p.349-378 |
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creator | Carpenter, Peter W. Gajjar, Jitesh S. B. |
description | An asymptotic theory is developed and applied to two- and three-dimensional disturbances developing in boundary layers over isotropic and anisotropic compliant walls. The theory utilizes the multideck structure of a two- dimensional boundary layer to derive asymptotic approximations at a high Reynolds number for the perturbation wall pressure and viscous stresses. The disturbances can be treated as either temporally or spatially growing. For isotropic compliant walls the theory confirms that the phase shift in the disturbance velocity across the critical layer plays a dominant role in destabilization of the class B traveling-wave flutter by making irreversible energy transfer possible due to the work done by the fluctuating wall pressure. For anisotropic walls an important mechanism for irreversible energy transfer is the work done by the shear stress fluctuations, which almost invariably have a stabilizing effect on the traveling-wave flutter. (S.A.V.) |
doi_str_mv | 10.1007/BF00271796 |
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B.</creator><creatorcontrib>Carpenter, Peter W. ; Gajjar, Jitesh S. B.</creatorcontrib><description>An asymptotic theory is developed and applied to two- and three-dimensional disturbances developing in boundary layers over isotropic and anisotropic compliant walls. The theory utilizes the multideck structure of a two- dimensional boundary layer to derive asymptotic approximations at a high Reynolds number for the perturbation wall pressure and viscous stresses. The disturbances can be treated as either temporally or spatially growing. For isotropic compliant walls the theory confirms that the phase shift in the disturbance velocity across the critical layer plays a dominant role in destabilization of the class B traveling-wave flutter by making irreversible energy transfer possible due to the work done by the fluctuating wall pressure. For anisotropic walls an important mechanism for irreversible energy transfer is the work done by the shear stress fluctuations, which almost invariably have a stabilizing effect on the traveling-wave flutter. (S.A.V.)</description><identifier>ISSN: 0935-4964</identifier><identifier>EISSN: 1432-2250</identifier><identifier>DOI: 10.1007/BF00271796</identifier><language>eng</language><subject>boundary layer flow ; stability</subject><ispartof>Theoretical and computational fluid dynamics, 1990-01, Vol.1 (6), p.349-378</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c207t-a4209a413f920dd19ff1626e8e36ce182b1349f940ae5a15402a6a6e1738d63e3</citedby><cites>FETCH-LOGICAL-c207t-a4209a413f920dd19ff1626e8e36ce182b1349f940ae5a15402a6a6e1738d63e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Carpenter, Peter W.</creatorcontrib><creatorcontrib>Gajjar, Jitesh S. B.</creatorcontrib><title>A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls</title><title>Theoretical and computational fluid dynamics</title><description>An asymptotic theory is developed and applied to two- and three-dimensional disturbances developing in boundary layers over isotropic and anisotropic compliant walls. The theory utilizes the multideck structure of a two- dimensional boundary layer to derive asymptotic approximations at a high Reynolds number for the perturbation wall pressure and viscous stresses. The disturbances can be treated as either temporally or spatially growing. For isotropic compliant walls the theory confirms that the phase shift in the disturbance velocity across the critical layer plays a dominant role in destabilization of the class B traveling-wave flutter by making irreversible energy transfer possible due to the work done by the fluctuating wall pressure. For anisotropic walls an important mechanism for irreversible energy transfer is the work done by the shear stress fluctuations, which almost invariably have a stabilizing effect on the traveling-wave flutter. 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B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls</atitle><jtitle>Theoretical and computational fluid dynamics</jtitle><date>1990-01-01</date><risdate>1990</risdate><volume>1</volume><issue>6</issue><spage>349</spage><epage>378</epage><pages>349-378</pages><issn>0935-4964</issn><eissn>1432-2250</eissn><abstract>An asymptotic theory is developed and applied to two- and three-dimensional disturbances developing in boundary layers over isotropic and anisotropic compliant walls. The theory utilizes the multideck structure of a two- dimensional boundary layer to derive asymptotic approximations at a high Reynolds number for the perturbation wall pressure and viscous stresses. The disturbances can be treated as either temporally or spatially growing. For isotropic compliant walls the theory confirms that the phase shift in the disturbance velocity across the critical layer plays a dominant role in destabilization of the class B traveling-wave flutter by making irreversible energy transfer possible due to the work done by the fluctuating wall pressure. For anisotropic walls an important mechanism for irreversible energy transfer is the work done by the shear stress fluctuations, which almost invariably have a stabilizing effect on the traveling-wave flutter. (S.A.V.)</abstract><doi>10.1007/BF00271796</doi><tpages>30</tpages></addata></record> |
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source | Springer Nature - Complete Springer Journals |
subjects | boundary layer flow stability |
title | A general theory for two- and three-dimensional wall-mode instabilities in boundary layers over isotropic and anisotropic compliant walls |
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