Computer Simulation of Oscillatory Processes Created by a Planetary Vibroprive with Kinematically Unbalanced Masses in Machines for Mixing Liquid Mixtures


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

The article presents mathematical models and results of computer simulation of oscillatory processes created by a planetary vibrodrive with kinematically unbalanced masses in machines for mixing liquid mixtures. The proposed mathematical models cover the movement of the center of mass of the vibrodrive actuator during runout and in a steady-state state. They allow one to visualize the flow of a liquid mixture in the working area of the machine and to determine the components of the motion speed in the radial, circumferential, and axial directions. The purpose of computer simulation is to clarify the physical mechanism of mixing liquid media when combining the rotational movement of the working element with radial-axial oscillations, to streamline mixing a liquid mixture with the least effort and energy consumption, and to determine the conditions, under which the turbulization increases and there appear various vibromechanical turbulent conditions. Computer simulation of oscillatory processes based on the proposed mathematical models reflected the predominant capabilities of the considered vibrodrives in controlling the oscillation parameters of the working element of the machine for mixing liquid mixtures. The results of computer simulation obtained using advanced software allow one to evaluate the ongoing oscillatory processes by the visual appearance of vibromechanical turbulent modes and the speed of the particles in the flow of a mixing liquid, as well as to ensure the required optimal operating mode of the vibromachine by determining the necessary values of the setting parameters of the vibrodrive. The research determined the operating parameters of the considered vibromachine, at which a certain turbulent mode is achieved, and found the optimal conditions for mixing liquid mixtures, under which there appear turbulent flows increasing the mixing intensity.

Full Text

Restricted Access

About the authors

Vladivir G. Nekrutov

South Ural State University

Email: nekrutovvg@susu.ru
Cand. Sci. (Eng.); associate professor at the Department of Engineering, Technology and Construction Chelyabinsk, Russian Federation

Rodion G. Zakirov

South Ural State University

Email: zakirovrg@susu.ru
Cand. Sci. (Eng.); associate professor at the Department of Engineering, Technology and Construction Chelyabinsk, Russian Federation

Pavel S. Maltsev

South Ural State University

Email: psmaltcev@susu.ru
senior lecturer at the Department of Engineering, Technology and Construction Chelyabinsk, Russian Federation

References

  1. Blekhman I.I., Indeitsev D.A., Mochalova Yu.A. Effects of vibratory mixing in vessels with liquid. Bulletin of Scientific and Technical Development. 2009. No. 5 (21). Pp. 10-15. (In Rus).
  2. Zakirov R.G. Modeling of vibrational processes in planetary vibro-drive with kinematically unbalanced mass. Scientific and Technical Journal of Bryansk State University. 2019. No. 2. Pp. 164-173. (In Rus).
  3. Zakirov R.G. Improving the efficiency of vibration machines using rotar-inertial vibration drives: Dis. ... Cand. Sci. (Eng.). Chelyabinsk. 2007. 160 p.
  4. Nekrutov V.G., Sergeev S.V. Intensification of the process of mixing low-viscosity food products. Food Industry. 2011. No. 2. Pp. 54-56. (In Rus).
  5. Nekrutov V.G. Improving the apparatus with a vibrating mixer to produce food emulsions: PhD Theses of Dis. ... Cand. Sci. (Eng.). Chelyabinsk, 2014. 159 p.
  6. Patent 2543204 Russian Federation, IPC B01F 11/00 “Method of mixing liquids”. V.G. Nekrutov, S.V. Sergeev, Zakirov R.G. et al. No. 2013121302/05; claimed on 07.05.2013; published on. 27.02.2015.
  7. Promtov M.A. Rotary oscillatory apparatuses: theory and practice. Moscow: Mashinostroenie, 2001. 260 p.
  8. Sergeev S.V., Nekrutov V.G. The use of vibromechanical effects to prepare and regenerate coolant-cutting fluids. STIN. 2012. No. 5. Pp. 33-37. (In Rus).
  9. Sergeev S.V., Nekrutov V.G., Sergeev Yu.S., Irshin A.V. Improving the technology of restoring coolant-cutting fluids to create environmentally friendly productions. Safety in the Technosphere. 2013. No. 2 (2). Pp. 49-55.
  10. Flow Vision liquid and gas flow modeling system. Version 2.05.04. User’s manual. Moscow. TESIS LLC, 1999-2008. 310 p.
  11. Lubricants. Production, application, characteristics: A reference book. T. Mang, W. Dresel (eds.). Transl. from English V.M. Shkolnikov (ed.). 2nd ed. St. Petersburg: Instant Print Center “Professiya”, 2010. 944 p.
  12. Khabibullin M.Ya., Gilaev G.G. Studying the process of exciting pulsations in a fluid flow moving in a pipeline. Oil and Gas Business. 2020. Vol. 18. No. 6. Pp. 93-98. (In Rus).
  13. Kim J., Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations // J. Comput. Phys. 1985. No. 59 (2). Pp. 308-323. URL: https://doi.org/10.1016/0021-9991(85)90148-2.
  14. Rosti M.E., De Vita F., Brandt L. Numerical simulations of emulsions in shear flows. Acta Mechanica. 2018. URL: https://doi.org/10.1007/s00707-018-2265-5.
  15. Sergeev Y.S., Sergeev S.V., Karpov G.E. Modeling three-dimensional liquid flows in computer-controlled vibrojet mixer using flowvision. In: Radionov A., Kravchenko O., Guzeev V., Rozhdestvenskiy Y. (eds). Proceedings of the 5th International Conference on Industrial Engineering (ICIE 2019). Lecture Notes in Mechanical Engineering. Springer, Cham. 2020. URL: https://doi.org/10.1007/978-3-030-22063-1_145.

Supplementary files

Supplementary Files
Action
1. JATS XML


This website uses cookies

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

About Cookies