Issue |
E3S Web of Conf.
Volume 508, 2024
International Conference on Green Energy: Intelligent Transport Systems - Clean Energy Transitions (GreenEnergy 2023)
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Article Number | 04001 | |
Number of page(s) | 9 | |
Section | Mathematical Physics and Mathematics | |
DOI | https://doi.org/10.1051/e3sconf/202450804001 | |
Published online | 05 April 2024 |
The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotor
1 Dmytro Motornyi Tavria State Agrotechnological University, 66 Zhukovsky street, Zaporizhzhia, 69600, Ukraine
2 Dnipro State Agrarian and Economic University, 25 Serhii Efremov Street, Dnipro, 49600, Ukraine
* Corresponding author: kyrylo.samoichuk@tsatu.edu.ua
The article provides an analysis of the existing analytical models of the change in the cross-sectional area of the modulator in rotary-pulsation devices. The peculiarities of the application of such functions for the pulsation devices with the vibrating rotor are determined, taking into account the predominant mechanism of dispersion of emulsions. Using classical hydraulic and mathematical dependencies, in order to fulfill the requirement of creating harmonic pulsations of the emulsion in the modulator holes for synchronization with the axial oscillations of the rotor and the equality of the conditions of pulsations of the speed of the emulsion in each channel of the stator and rotor, the equation of the change in the cross-sectional area of the modulator in the pulsation devices with the vibrating rotor is determined in the form of a continuous function. This greatly simplifies the mathematical description of the function, and the subsequent analytical model of the movement of the emulsion in devices of this type. The resulting equation is necessary in determining such characteristics as the instantaneous speed and acceleration of the emulsion and the diameter of the dispersed phase after treatment.
Key words: Rotary-pulsation device / pulsation device with the vibrating rotor / disperser / homogenizer / modulator area
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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