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Absolute Instability of Incompressible Boundary Layer over a Compliant Plate

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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.

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Correspondence to I. V. Savenkov.

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Dedicated to the 100th birthday of Academician N.N. Moiseev

Original Russian Text © I.V. Savenkov, 2018, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2018, Vol. 58, No. 2, pp. 281–290.

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Savenkov, I.V. Absolute Instability of Incompressible Boundary Layer over a Compliant Plate. Comput. Math. and Math. Phys. 58, 264–273 (2018). https://doi.org/10.1134/S096554251802015X

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  • DOI: https://doi.org/10.1134/S096554251802015X

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