Normal oscillations of a viscous liquid partially filling a circular horizontal channel

International Applied Mechanics

Volumn 33, Issue 4, 1997, Pages 335-343

  Barnyak, O M ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; FRICTION; GRAVITY WAVES; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; OSCILLATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SURFACE WAVES; VISCOSITY;

HELMHOLTZ EQUATION; LAPLACE EQUATION;

HYDRODYNAMICS;

EID: 0031249036     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02700573     Document Type: Article

References (8)

1. M. Ya. Barnyak, Small Oscillations of a Viscous Incompressible Liquid in a Vessel. Preprint 89-43 [in Russian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1989).
2. M. Ya. Barnyak, "Studying the normal transverse oscillations of viscous liquid in a horizontal channel by means of projection methods," in: Modeling Dynamic Interaction Processes in Systems of Bodies with Liquids [in Russian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1990), pp. 34-41.
3. M. Ya. Barnyak, "Approximate method of calculating critical values of the Galileo number in the normal oscillation of a viscous liquid in a horizontal cylinder under conditions of adherence to the wall," in: Integral Transformations and their Application to Boundary-Value Problems [in Ukrainian], Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev (1990), pp. 6-17.
4. I. P. Bogoryad, Dynamics of Viscous Liquid with a Free Surface [in Russian], Izd. Tomsk. Univ., Tomsk (1980).
5. N. D. Kolachevskii, S. G. Krein, and Ngo Zui Kan, Operator Methods in Linear Hydrodynamics: Evolutionary and Spectral Problems [in Russian], Nauka, Moscow (1984).
6. S. G. Krein, "Oscillations of viscous liquid in a vessel," Dokl. Akad. Nauk SSSR, 159, No. 2, 262-265 (1964).
7. I. A. Lukovskii, M. Ya. Barnyak, and A. N. Komarenko, Approximate Methods of Solving Problems for a Limited Liquid Volume [in Russian], Naukova Dumka, Kiev (1984).
8. F. L. Chernous'ko, Motion of a Solid with Cavities Containing Viscous Liquid [in Russian], Izd. VTs AN SSSR, Moscow (1968).