Fluctuations of liquid fuel in tanks with oil recovery units


Cite item

Full Text

Abstract

The article presents solutions of problems of natural fluctuations of liquid in cylindrical, conical and spherical tanks, with boundary conditions on the free surface and the surface with resistance, i.e. the drain surface. Particular attention is paid to finding the eigenvalues and eigenfrequencies of equations of oscillations of perturbed motion of fluid with the presence of dissipation on the boundary surfaces. It is shown that low speed of lowering of the free surface and resistance conditions on the surface of the drain can affect both the oscillatory and the aperiodic parts of the solution of the fluid oscillation problem.

About the authors

M. I. Dyachenko

Bauman Moscow State Technical University

Author for correspondence.
Email: s_masyanya@mail.ru

Postgraduate student 

Russian Federation

Nguyen Duy Hung

Bauman Moscow State Technical University

Email: freedom_dh@yahoo.com.vn

Postgraduate student 

Russian Federation

A. N. Temnov

Bauman Moscow State Technical University

Email: antt45@mail.ru

Postgraduate student 

Russian Federation

References

  1. Kolesnikov K.S. Dinamika raket [Dynamics of missiles]. Moscow: Mashinostroenie Publ., 2003. 520 p.
  2. Lukovskiy I.A. Vvedenie v nelineynuyu dinamiku tverdogo tela [Introduction to nonlinear rigid body dynamics]. Kiev: Naukova Dumka Publ., 1990. 296 p.
  3. Moiseev N.N., Petrov A.A. Chislennye metody rascheta sobstvennykh chastot kolebaniy ogranichennogo ob’ema zhidkosti [Numerical methods of calculating natural frequencies of oscillations of a limited volume of liquid]. Moscow: Vychislitel'nyy Tsentr AN SSSR Publ., 1966. 270 p.
  4. Limarchenko O.S., Mataratstso D., Yasinskiy V.V. Dinamika vrashchayushchikhsya konstruktsiy s zhidkost'yu [Dynamics of rotating structures with liquid]. Kiev: GNOZIS Publ., 2002. 304 p.
  5. Stepanova M.I., Temnov A.N. Small Motions of Liquid with Surface Energy Dissipation. Herald of the Bauman Moscow State Technical University. Series Natural Sciences. 2011. No. 4. P. 99-110. (In Russ.)
  6. D'yachenko M.I., Temnov A.N. Natural Oscillations of Liquid Propellant under Redistribution Conditions. Herald of the Bauman Moscow State Technical University. Series Mechanical Engineering. 2012. No. 3. P. 31-38. (In Russ.)
  7. Dyachenko M.I., Temnov A.N. Problems of Fuel Redistribution Dynamics in Large-Sized Rocket and Space Objects. Engineering Journal: Science and Innovation. 2012. No. 8 (8). P. 164-174 (In Russ.). doi: 10.18698/2308-6033-2012-8-457
  8. Kirillov V.V. Study of oscillations of liquid in stationary vessel taking into account its leakage. Proceedings of Moscow Institute of Physics and Technology. 1960. No. 5. P. 19-25. (In Russ.)
  9. Orlov V.V., Temnov A.N. Malye dvizheniya zhidkosti, vytekayushchey iz baka. Sb. tezisov dokladov Voronezhskoy zimney matematicheskoy shkoly «Sovremennye metody teorii funktsiy i smezhnye problemy». Voronezh: Voronezh State University Publ., 1997. P. 124. (In Russ.)

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2017 VESTNIK of Samara University. Aerospace and Mechanical Engineering

This website uses cookies

You consent to our cookies if you continue to use our website.

About Cookies