The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotor

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...

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Main Authors: Samoichuk Kyrylo, Koshulko Vitalii, Sova Nataliia, Tymchak Dmytro
Format: Article
Language:English
Published: EDP Sciences 2024-01-01
Series:E3S Web of Conferences
Subjects:
Online Access:https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_04001.pdf
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author Samoichuk Kyrylo
Koshulko Vitalii
Sova Nataliia
Tymchak Dmytro
author_facet Samoichuk Kyrylo
Koshulko Vitalii
Sova Nataliia
Tymchak Dmytro
author_sort Samoichuk Kyrylo
collection DOAJ
description 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.
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spelling doaj.art-d412f97a35004d4e9ec8dbe2adb1e05b2024-04-12T07:40:18ZengEDP SciencesE3S Web of Conferences2267-12422024-01-015080400110.1051/e3sconf/202450804001e3sconf_greenenergy2024_04001The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotorSamoichuk Kyrylo0Koshulko Vitalii1Sova Nataliia2Tymchak Dmytro3Dmytro Motornyi Tavria State Agrotechnological UniversityDnipro State Agrarian and Economic UniversityDnipro State Agrarian and Economic UniversityDnipro State Agrarian and Economic UniversityThe 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.https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_04001.pdfrotary-pulsation devicepulsation device with the vibrating rotordisperserhomogenizermodulator area
spellingShingle Samoichuk Kyrylo
Koshulko Vitalii
Sova Nataliia
Tymchak Dmytro
The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotor
E3S Web of Conferences
rotary-pulsation device
pulsation device with the vibrating rotor
disperser
homogenizer
modulator area
title The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotor
title_full The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotor
title_fullStr The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotor
title_full_unstemmed The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotor
title_short The equation of the modulator's passing cross-section area in the pulsation device with the vibrating rotor
title_sort equation of the modulator s passing cross section area in the pulsation device with the vibrating rotor
topic rotary-pulsation device
pulsation device with the vibrating rotor
disperser
homogenizer
modulator area
url https://www.e3s-conferences.org/articles/e3sconf/pdf/2024/38/e3sconf_greenenergy2024_04001.pdf
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