Abstract
We consider the causal response of the boundary-layer flow over a compliant elastic plate to forcing by a harmonic line source. This problem exhibits a number of unusual features, including absolute instability and the existence of anomalous modes with group velocity directed towards the driver. A full study of this behaviour is made, including the interesting limit in which the boundary layer is very thin on the scale of the plate bending waves. In the simpler case of uniform flow we also derive model nonlinear equations to describe the evolution of certain negative energy waves.
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Peake, N., Lingwood, R.J. (2000). A Causal Stability Analysis of the Boundary Layer over a Compliant Wall. In: Fasel, H.F., Saric, W.S. (eds) Laminar-Turbulent Transition. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03997-7_5
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DOI: https://doi.org/10.1007/978-3-662-03997-7_5
Publisher Name: Springer, Berlin, Heidelberg
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