Abstract:
An incompressible boundary layer on a compliant plate is considered. The influence exerted by the tensile stress and bending stiffness of the plate on the stability of the boundary layer is investigated in the limit of high Reynolds numbers on the basis of the triple-deck theory. It is shown that upstream-propagating growing waves can be generated in a certain range of parameters characterizing the plate properties. As a result, the flow becomes absolutely unstable in the conventional sense.
This publication is cited in the following 4 articles:
I. V. Savenkov, “Influence of damping of a compliant surface on inviscid instability of overlying incompressible boundary layer”, Comput. Math. Math. Phys., 63:10 (2023), 1731–1740
Shuai Tang, Shaogang Liu, Dan Zhao, Liqiang Dong, Lu Chen, Jin Cui, “The spatial stability and transition of boundary layer flow over the skin made of micro floating raft arrays”, Meccanica, 58:12 (2023), 2291
I. V. Savenkov, “Inviscid instability of an incompressible boundary layer on a compliant surface”, Comput. Math. Math. Phys., 60:7 (2020), 1228–1239
I. V. Savenkov, “Influence of inertia of a compliant surface on viscous instability of an incompressible boundary layer”, Comput. Math. Math. Phys., 59:4 (2019), 667–675
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