Improving the procedure for modeling low-frequency oscillations of the free surface liquid in a tractor tank

Authors

DOI:

https://doi.org/10.15587/1729-4061.2023.277254

Keywords:

cylindrical tank, free surface, equivalent shape, eigenfrequency, partial oscillator

Abstract

This paper considers the influence of hydrodynamic processes in the movement of the free surface of liquid in partially filled tractor tanks. Splashing liquid in partially filled containers is a significant problem in the study of functional stability of movement in the marine, aerospace, rail, and automotive industries. After all, it affects productivity and traffic safety. The same effect was observed when performing transportation work while delivering liquid cargoes in the agricultural sector. That was due to increasing the transportation speeds of wheeled tractors. In the procedure, using the Rayleigh theory of surface waves, a linearized problem of motion of the free surface of a liquid is obtained. Based on Helmholtz's theorem, the components of scalar and Laplace field vector potentials of fluid velocity vector are separated. The potential problem for translational motion of fluid, in which vortex component of the field is absent, is considered. Instead of the fluid velocity potential, a scalar fluid displacement potential in Rayleigh surface waves was introduced. Comparing the results of calculating fluid splashing with the work of other scientists, a high convergence of natural frequencies of partial oscillators in 3D space was found. This is noticeable in the last quarter of the filling of the tank, in which significant displacements of the deep liquid occur. A feature of the results is the introduction, instead of the real shape of the container, an equivalent form of a parallelepiped, the final shape of which depends on the level of fullness. The frequency properties of movement of the free surface of liquid based on the standard size of tanks used in agriculture are separated. The proposed improved methodology could be used to increase stability, controllability, and smoothness when operating tanks with a wheeled tractor.

Author Biographies

Andrii Kozhushko, National Technical University "Kharkiv Polytechnic Institute"

Doctor of Technical Sciences, Associate Professor

Department of Car and Tractor Industry

Yevhen Pelypenko, National Technical University "Kharkiv Polytechnic Institute"

PhD, Associate Professor

Department of Car and Tractor Industry

Serhii Kravchenko, National Technical University "Kharkiv Polytechnic Institute"

PhD, Associate Professor

Department of Engines and Hybrid Power Plants

Vitalii Danylenko, Department of Car and Tractor Industry National Technical University "Kharkiv Polytechnic Institute"

Postgraduate Student

Department of Car and Tractor Industry

References

  1. Zheng, X. L., Li, X. S., Ren, Y. Y., Cheng, Z. Q. (2014). Transient Liquid Sloshing in Partially-Filled Tank Vehicles. Applied Mechanics and Materials, 526, 133–138. doi: https://doi.org/10.4028/www.scientific.net/amm.526.133
  2. Kalinin, Y., Klets, D., Shuliak, M., Kholodov, A. (2020). Information system for controlling transport-technological unit with variable mass. CEUR Workshop Proceedings, 2732, 303–312. Available at: https://ceur-ws.org/Vol-2732/20200303.pdf
  3. Giordano, D. M., Facchinetti, D., Pessina, D. (2015). Comfort efficiency of the front axle suspension in off-road operations of a medium-powered agricultural tractor. Contemporary Engineering Sciences, 8, 1311–1325. doi: https://doi.org/10.12988/ces.2015.56186
  4. Saghi, R., Saghi, H. (2022). Numerical simulation of half-full cylindrical and bi-lobed storage tanks against the sloshing phenomenon. Ocean Engineering, 266, 112896. doi: https://doi.org/10.1016/j.oceaneng.2022.112896
  5. Kolaei, A., Rakheja, S., Richard, M. J. (2015). Three-dimensional dynamic liquid slosh in partially-filled horizontal tanks subject to simultaneous longitudinal and lateral excitations. European Journal of Mechanics - B/Fluids, 53, 251–263. doi: https://doi.org/10.1016/j.euromechflu.2015.06.001
  6. Hasheminejad, S. M., Soleimani, H. (2017). An analytical solution for free liquid sloshing in a finite-length horizontal cylindrical container filled to an arbitrary depth. Applied Mathematical Modelling, 48, 338–352. doi: https://doi.org/10.1016/j.apm.2017.03.060
  7. Karamanos, S. A., Papaprokopiou, D., Platyrrachos, M. A. (2009). Finite Element Analysis of Externally-Induced Sloshing in Horizontal-Cylindrical and Axisymmetric Liquid Vessels. Journal of Pressure Vessel Technology, 131 (5). doi: https://doi.org/10.1115/1.3148183
  8. Karamanos, S. A., Patkas, L. A., Platyrrachos, M. A. (2005). Sloshing Effects on the Seismic Design of Horizontal-Cylindrical and Spherical Industrial Vessels. Journal of Pressure Vessel Technology, 128 (3), 328–340. doi: https://doi.org/10.1115/1.2217965
  9. Kozhushko, A. P. (2022). Teoriya kolyvan traktora pry transportuvanni tsystern silskohospodarskoho pryznachennia. Kharkiv: Miroshnychenko O. A., 239. Available at: http://repository.kpi.kharkov.ua/handle/KhPI-Press/55591
  10. Sun, Y., Zhou, D., Wang, J. (2019). An equivalent mechanical model for fluid sloshing in a rigid cylindrical tank equipped with a rigid annular baffle. Applied Mathematical Modelling, 72, 569–587. doi: https://doi.org/10.1016/j.apm.2019.03.024
  11. Ruiz, R. O., Lopez-Garcia, D., Taflanidis, A. A. (2015). An efficient computational procedure for the dynamic analysis of liquid storage tanks. Engineering Structures, 85, 206–218. doi: https://doi.org/10.1016/j.engstruct.2014.12.011
  12. McCarty, J. L. (1960). Investigation of the Natural Frequencies of Fluids in Spherical and Cylindrical Tanks. National Aeronautics and Space Administration.
Improving the procedure for modeling low-frequency oscillations of the free surface liquid in a tractor tank

Downloads

Published

2023-04-30

How to Cite

Kozhushko, A., Pelypenko, Y., Kravchenko, S., & Danylenko, V. (2023). Improving the procedure for modeling low-frequency oscillations of the free surface liquid in a tractor tank. Eastern-European Journal of Enterprise Technologies, 2(7 (122), 61–68. https://doi.org/10.15587/1729-4061.2023.277254

Issue

Section

Applied mechanics