Physical-mathematical modeling of particle motion in air flow between vibrating planes
DOI:
https://doi.org/10.31359/2311.441X.2026.28.191Keywords:
vibropneumatic separator, mathematical modeling, simplified modelAbstract
Separation of grain materials in the air stream between vibrating working planes is a more rational method that provides an increase in the separation time without increasing the size of the separator and energy losses in the separation process, which is pneumatic separation between two vibrating planes. The effectiveness of this separation method and its result depend on the optimal values of the parameters of the separation process, for example, such as the air flow speed, the frequency and amplitude of oscillations of the working surfaces, as well as the distance between them. The justification of the listed parameters can be performed by mathematical modeling of the separation process. But the model of particle motion in the air stream between vibrating working planes is difficult to use in production conditions. Therefore, the aim of the work was to simplify the theoretical model of the symmetric motion of a particle in the air stream under the action of vibration of the working planes, in order to quickly determine the parameters of the separation process of grain materials without significant loss of calculation accuracy. The results of calculations based on a simplified model of particle motion in the air flow between vibrating working planes make it possible to effectively separate the components of grain material and predict its results with minimal loss of accuracy.
References
Список джерел інформації
1. Патент на корисну модель 64488 від 10.11.2011. Вібросепаратор вертикального типу з повітряним потоком для розділення сипучих сумішей / Сіняєва О.В., Завгородній О.І.: Україна, Український інститут промислової власності.
2. Завгородний А.И., Синяева О.В. Движения шара в воздушном потоке между вибрирующими плоскостями Вібрації в техніці та технологіях: Всеукраїнський науково-технічний журнал, №3(67).– Вінниця: ВНАУ, 2012.– С.20-27.
3. Василенко П.М. Теория движения частицы по шероховатым поверхностям сельскохозяйственных машин.– изд-во УАСХН, 1960.–284с.
4. Плявниекс В.Ю. Пространственное соударение двух тел Вопросы динамики и прочности. – Рига: “Зинатне”, 1970, вып. №20.– С.75-88.
References
1. Vertical type vibrating separator with air flow for separation of bulk mixtures / O.V. Siniaeva, O.I. Zavgorodniy. - Utility model patent 64488 dated 10.11.2011.: Ukraine, Ukrainian Institute of Industrial Property.
2. Zavhorodnyi A.Y., Syniaeva O.V. Dvyzhenyia shara v vozdushnom potoke mezhdu vybryruiushchymy ploskostiamy Vibratsii v tekhnitsi ta tekhnolohiiakh: Vseukrainskyi naukovo-tekhnichnyi zhurnal, №3(67).– Vinnytsia: VNAU, 2012.– S.20-27.
3. Vasylenko P.M. Teoryia dvyzhenyia chastytsy po sherokhovatym poverkhnostiam selskokhoziaistvennykh mashyn.– yzd-vo UASKhN, 1960.–284s.
4. Pliavnyeks V.Yu. Prostranstvennoe soudarenye dvukh tel Voprosy dynamyky y prochnosty. – Ryha: “Zynatne”, 1970, vyp. #20.– S.75-88.
