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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2000, Volume 41, Issue 4, Pages 69–80
(Mi pmtf2955)
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Nonlinear development of two-dimensional hydroelastic instability in a turbulent boundary layer on an elastic coating
V. P. Reutov, G. V. Rybushkina Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod 603600
Abstract:
Nonlinear evolution of hydroelastic instability arising in the flow past a coating of a rubber-type material by a turbulent boundary layer of an incompressible fluid is studied. A nonlinear dispersion equation for two-dimensional, quasi-monochromatic, low-amplitude waves is derived. The Prandtl equations for the mean (over the waviness period) boundary-layer flow are solved in the approximation of local similarity and by direct numerical integration. Evolution of unstable waves in time is studied on the basis of the Landau equation, which is derived separately for the instability of fast waves (flutter) and the quasi-static instability (divergence). The calculation results are compared with available experimental data.
Received: 02.03.1999 Accepted: 16.06.1999
Citation:
V. P. Reutov, G. V. Rybushkina, “Nonlinear development of two-dimensional hydroelastic instability in a turbulent boundary layer on an elastic coating”, Prikl. Mekh. Tekh. Fiz., 41:4 (2000), 69–80; J. Appl. Mech. Tech. Phys., 41:4 (2000), 637–646
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https://www.mathnet.ru/eng/pmtf2955 https://www.mathnet.ru/eng/pmtf/v41/i4/p69
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