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Математическое моделирование, компьютерный и натурный эксперимент в естественных науках
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Технические науки
MATHEMATICAL MODEL OF LAYERED VISCOUS COMPRESSED LIQUID LAYER INTERACTION WITH ELASTIC THREE-LAYER PLATE WITH A LIGHT INCOMPLETE FILLER
1. Volga Management Institute named after P.А. Stolypin - a branch of Federal State-Funded Educational Institution of Higher Education Russian Presidential Academy of National Economy and Public Administration 2. Federal State Budget Educational Institution of Higher Education Saratov State Acad-emy of Law, Volga Management Institute named after P.А. Stolypin - a branch of Federal State-Funded Educational Institution of Higher Education Russian Presidential Academy of National Economy and Public Administration
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Abstract: The problem of modelling the flow of a viscous compressible fluid in a slit channel consisting of two plates is considered. The first plate performs harmonic oscillations in the vertical plane relative to the second and is absolutely rigid. The second is an elastic three-layer plate with a light incompressible filler and is held rigidly by the edges. The mathematical model in dimensionless variables is a connected system of partial differential equations describing the dynamics of the motion of a viscous compressible fluid and an elastic beam-strip with the corresponding boundary conditions. Keywords: viscous compressible liquid, slit channel, a bar-strip, elastic three-layer plate, Navier-Stokes equation |
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