Abstract
A state-space method is deployed in order to investigate the global stability of the Blasius base flow over a finite compliant panel embedded between rigid upstream and downstream wall sections accounting both for axial and vertical structural displacements. It is shown that global temporal instability can occur through the resonance between the Travelling-Wave Flutter (TWF) or Tollmien-Schlichting Wave (TSW) instability and the structural modes due to the vertical motion of the compliant section, while the axial structural modes remain stable in time. Local spatial stability of the least stable global temporal TSW mode reveals that a downstream amplified axial structural mode coexists with the downstream amplified TSW mode and it is stabilized by increasing the panel stiffness and destabilized as the Reynolds number decreases.
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Bridges TJ, Morris PJ (1984) Differential eigenvalue problems in which the parameter appears nonlinearly. J Comput Phys 55(3):437–460
Carpenter PW, Davies C, Lucey AD (2001) Does the dolphin have a secret? Curr Sci 79(6):758–765
Shankar V, Kumaran V (2002) Stability of wall modes in fluid flow past a flexible surface. Phys Fluids 14(7):2324–2338
Tsigklifis K, Lucey AD (2015) Global instabilities and transient growth in Blasius boundary-layer flow over a compliant panel. Sadhana 40(3):945–960
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This work was supported through the Australian Research Council grant DP1096376
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Tsigklifis, K., Lucey, A.D. (2016). Global Stability Analysis of Blasius Boundary-Layer Flow over a Compliant Panel Accounting for Axial and Vertical Displacements. In: Zhou, Y., Lucey, A., Liu, Y., Huang, L. (eds) Fluid-Structure-Sound Interactions and Control. Lecture Notes in Mechanical Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48868-3_57
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DOI: https://doi.org/10.1007/978-3-662-48868-3_57
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