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Physics of Fluids : Selection of the divergence waves on a model viscoelastic coating under a potential flow

By V. P. Reutov and G. V. Rybushkina

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Book Id: WPLBN0002169589
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 24 September 2008

Title: Physics of Fluids : Selection of the divergence waves on a model viscoelastic coating under a potential flow  
Author: V. P. Reutov and G. V. Rybushkina
Volume: Issue : September 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Physics of Fluids Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Reutov And G. V. Rybushkin, V. P. (n.d.). Physics of Fluids : Selection of the divergence waves on a model viscoelastic coating under a potential flow. Retrieved from http://nationalpubliclibrary.info/


Description
Description: The paper is concerned with the established regimes of generation of the divergence (quasistatic) waves on a model viscoelastic coating under a potential flow of an incompressible liquid. Parameters of the effective coating that consists of a strongly damped flexible plate supported by an extended spring foundation are evaluated using the condition of modeling the deformation of the viscoelastic layer of a rubberlike material in the available experiments. The local nonlinearity due to the dependence of a stiffness coefficient of the spring foundation on surface displacement is taken into account together with the generalized Karman nonlinearity. The system of equations and boundary conditions of the problem are simplified and reduced to the dimensionless form in the limit of large losses in the plate. The perturbed potential flow is found to be quasistationary. A system of coupled equations describing the resonant and nonresonant (energetic) interactions of multiple harmonics of the surface displacement is derived for weak bending of the surface and small perturbation of flow velocity potential. Conditions for the selection of the period of the established waves are elucidated in this approximation. For the description of large amplitude divergence waves observed experimentally, the numerical procedure is elaborated based on the usage of an orthogonal curvilinear coordinate system following the surface bending. The onset of the essentially nonsinusoidal large amplitude divergence waves and the selection of their period are simulated numerically.

 

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