A Mathematical Model of Oscillations Energy Dissipation of Viscous Liquid in a Tank

Bogoryad, I. B.

doi:10.1007/978-3-0348-8627-7_10

I. B. Bogoryad⁶

Part of the book series: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique ((ISNM,volume 106))

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Abstract

Up to present time an experiment [1,2] rather then a computational method gives the most reliable results on determination of damping factors of viscous liquid oscillations. The reason lies in mathematical difficulties of solving of hydrodynamic problems in setting up which should reflect the physics of the process sufficiently completely.

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References

Mikishev, G.N. Experimental methods in dynamics of space apparatuses. Moscow, Mashinostroenie, 1978.
Google Scholar
Miles, J.W. Ring damping of free surface oscillations in a circular tank// J.Appl.Mech., 1958, v.25, N6.
Google Scholar
Chernousko, F.L. Motion of a solid body with cavities containing viscous liquid. Computer Center of A.S. USSR, 1968.
Google Scholar
Rabinovich, B,I. On the theory of small oscillations of solid body with cavity partly filled by viscous incompressible liquid. // Appl.Mech., 1968, v.5, Issue 9.
Google Scholar
Harlow, F.H., Welch, I.E. Numerical calculation of timedependent incompressible flow of fluid with free surface // Phys. of Fluids, 1965, v.8, N12.
Article Google Scholar
Hirt, C.W., Cook,J.L., Butler, T.D. A lagrangian method for calculation the dynamics in incompressible fluid with free surface // J. of Comput. Phys., 1970, v.5, N2.
Article Google Scholar
Bogoryad, I.B. Dynamics of viscous liquid with free surface. 1980, Tomsk University Press.
Google Scholar
Bogoryad, I.B. On a damping coefficient due to a liquid with free surface in moving container. // Appl.Mech., 1990, v.26, N4.
Google Scholar
Schlichting,H. Grenzschicht-Theorie. 1964. Verlag G.Brawn Karlsruhe.
Google Scholar
Lamb,H. Hydrodynamics. 1932, Cambridge University Press.
Google Scholar

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Research Institute of Applied Mathematics and Mechanics, Tomsk, 634050, Russia
I. B. Bogoryad

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I. B. Bogoryad
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Lavrentyev Institute of Hydrodynamics, Novosibirsk, 630090, Russia
S. N. Antontsev & A. M. Khludnev &
Institut für Angewandte Mathematik und Statistik, Dachauer Str. 9 a, München, D-W-8000, Germany
K.-H. Hoffmann

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Bogoryad, I.B. (1992). A Mathematical Model of Oscillations Energy Dissipation of Viscous Liquid in a Tank. In: Antontsev, S.N., Khludnev, A.M., Hoffmann, KH. (eds) Free Boundary Problems in Continuum Mechanics. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 106. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8627-7_10

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DOI: https://doi.org/10.1007/978-3-0348-8627-7_10
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9705-1
Online ISBN: 978-3-0348-8627-7
eBook Packages: Springer Book Archive

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