MATHEMATICAL MODELING OF DYNAMICS OF CURVED PIPES CONVEYING INTERNAL MASSES OF NONHOMOGENEOUS LIQUID

Authors

  • Yevgeniy Tolbatov National Aviation University

DOI:

https://doi.org/10.18372/2306-1472.62.7776

Keywords:

cylindrical spirals, dynamics, internal flows, non-homogeneous liquid, numerical method, velocity, vibration

Abstract

The article considers computer simulation of dynamics of elastic tube serpentines with internal flows of boiling liquids. We propose the motion model of non-homogeneous boiling liquid clots. The technique of numerical solution of the constructed equations is based on the transfer matrix method.

Author Biography

Yevgeniy Tolbatov, National Aviation University

Tolbatov Yevgeniy (1973). Ph.D. in Engineering. Associate Professor.
National Aviation University, Kyiv, Ukraine.
Education: Taras Shevchenko National University of Kyiv, Ukraine (1995).
Research area: vibrations study of curved rods.

References

Benjamin T.B. 1961 Proceedings of the Royal Society (London), A, 261, 457–486. Dynamics of a system of articulated pipes conveying fluid. 1. Theory.

Feodosyev V.I. 1951 Engineer Journal 10, 169-170. On vibrations and stability of a pipe conveying a fluid (in Russian).

Paidoussis M.P. and Laithier B.E. 1976 Journal of Mechanical Engineering Science 18, 210–220. Dynamics of Timoshenko beam conveying fluid.

Panovko Ya.G. and Gubanova I.I. 1987 Stability and Vibrations of Elastic Systems. Moscow: Nauka (in Russian).

Elishakoff J., Impollonia N. 2001 Transactions of the American Society of Mechanical Engineers, Journal of Applied Mechanics 68, 206–212. Does a partial elastic foundation increase the flutter velocity of pipe conveying fluid?

Gulyayev V.I., Gaidaichuk V.V. and Koshkin V.L. 1992 Elastic Deformation, Stability and Vibration of Flexible Rods. Kyiv, Naukova Dumka (in Russian).

Lourye A.I. 1961 Analytical Mechanics. Moscow: Fizmatgis (in Russian).

Published

17-03-2015

How to Cite

Tolbatov, Y. (2015). MATHEMATICAL MODELING OF DYNAMICS OF CURVED PIPES CONVEYING INTERNAL MASSES OF NONHOMOGENEOUS LIQUID. Proceedings of National Aviation University, 62(1), 42–52. https://doi.org/10.18372/2306-1472.62.7776

Issue

Section

MODERN AVIATION AND SPACE TEHNOLOGY