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September 2025 (published: 16.09.2025)
Number 3(65)
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Modeling of the flow of oil-containing material in the channels of the pressing path of the oil press. Part 2. Velocity distribution
Melnik G. E., Starkov C.A.
Keywords: material flow; convergent channels; vegetable edible oils; velocity distribution; asymptotic solution of the problem; numerical calculation
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
Modeling of the flow of oil-containing material in the channels of the pressing path of the oil press. Part 2. Velocity distribution
The paper proposes a method for calculating the velocity distribution in the channels of an oil press containing confusor sections, based on asymptotic expansions in the small parameter ε, which characterizes the tangent of the angle of inclination of the channel boundaries. It is shown that in the main approximation the flow is described by the classical Poiseuille profile for cylindrical sections, and the slow change in geometry is taken into account through corrections to the velocity and pressure. The condition of constant flow allows to determine the pressure gradient, which is the highest near the confusors. Numerical calculations were performed in COMSOL Multiphysics to verify the asymptotic theory for three types of confusers: a single confuser with a constant outer radius, a single confuser with a variable radius, and a system of two confusers. The results show a good correlation with asymptotic predictions, especially for small tilt angles. The velocity graphs show the areas with an increased pressure gradient, which is explained by the inverse relationship between velocity and the cross-sectional area of the channel. The influence of confuser geometry on the process of grinding particles of an oil-containing material is investigated. It is shown that an increase in the flow velocity and the presence of a sharp confuser edge contribute to the intensification of the process due to increased friction and particle collisions.
Keywords: material flow; convergent channels; vegetable edible oils; velocity distribution; asymptotic solution of the problem; numerical calculation
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License