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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 3, Pages 56–67
(Mi pmtf1364)
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This article is cited in 1 scientific paper (total in 1 paper)
Three-dimensional divergent waves on a model viscoelastic coating in a potential incompressible fluid flow
V. P. Reutov, G. V. Rybushkina Institute of Applied Physics, Russian Academy of Sciences, Nizhnii Novgorod, 603950, Russia
Abstract:
Generation of three-dimensional nonlinear waves on a model viscoelastic coating in a potential flow of an incompressible fluid is studied. Periodic nonlinear waves enhanced by the development of quasi-static instability (wave divergence) are considered. The coating is modeled by a flexible flat plate supported by a distributed nonlinearly-elastic spring foundation. Plate flexure is described on the basis of the Karman equations of the theory of thin plates. Perturbations of surface pressure in the potential flow are found in the small slope approximation to an accuracy to terms of the second order of smallness. Numerical simulation reveals a jump-like transition from two-dimensional nonlinear waves to three-dimensional wave structures, which are also observed in experiments.
Keywords:
viscoelastic coatings, hydrodynamic instability, wave divergence, three-dimensional structures.
Received: 24.01.2011 Accepted: 14.07.2011
Citation:
V. P. Reutov, G. V. Rybushkina, “Three-dimensional divergent waves on a model viscoelastic coating in a potential incompressible fluid flow”, Prikl. Mekh. Tekh. Fiz., 53:3 (2012), 56–67; J. Appl. Mech. Tech. Phys., 53:3 (2012), 356–365
Linking options:
https://www.mathnet.ru/eng/pmtf1364 https://www.mathnet.ru/eng/pmtf/v53/i3/p56
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