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This article is cited in 2 scientific papers (total in 2 papers)
Inviscid instability of an incompressible boundary layer on a compliant surface
I. V. Savenkov Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, 119991 Russia
Abstract:
The instability of an incompressible boundary layer on a compliant plate with respect to inviscid perturbations is analyzed on the basis of triple-deck theory. It is shown that unstable inviscid perturbations persist only if the inertia of the plate is taken into account. It is found that an important role is played by the bending stiffness of the plate. Specifically, as it approaches a certain value, the instability can become arbitrarily high, but, with a further increase in the bending stiffness, it vanishes completely as soon as the bending stiffness reaches a threshold value.
Key words:
incompressible boundary layer, instability, Tollmien–Schlichting waves, compliant surface, inertia, bending stiffness, tensile stress, asymptotic expansions, triple-deck theory.
Received: 19.05.2019 Revised: 15.12.2019 Accepted: 10.03.2020
Citation:
I. V. Savenkov, “Inviscid instability of an incompressible boundary layer on a compliant surface”, Zh. Vychisl. Mat. Mat. Fiz., 60:7 (2020), 1268–1280; Comput. Math. Math. Phys., 60:7 (2020), 1228–1239
Linking options:
https://www.mathnet.ru/eng/zvmmf11109 https://www.mathnet.ru/eng/zvmmf/v60/i7/p1268
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Abstract page: | 54 | References: | 9 |
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