Abstract
The article proposes a mathematical model for the separation of wheat flour products into fractions in a radial flow, a pneumatic screw channel, and considers the problem of producing flour of the highest quality and nutritional value by dividing wheat flour into protein fractions. Differential equations for the separation of the flow of inhomogeneous flour particles under the action of centrifugal forces are given.When solving mathematical equations, geometric, physical and boundary conditions and parameters of the flow of energy carrier (air) and small particles were set. In addition, when analyzing the forces acting on heterogeneous fine flour particles, the shape of the particles in the form of a ball was considered and, due to the absence of interactions between flour particles, they are in a carrier stream, the turbulent movement of the particles does not affect their average speed of movement.Based on analytical expressions characterizing the flow of a homogeneous medium, depending on the geometric and technological parameters of the radial flow of the pneumatic screw channel, a mathematical model has been developed that allows calculating the speed and trajectory of flour particles when dividing them into fractions using a pneumatic separator, taking into account the influence of the direction of the vector of motion of a homogeneous medium with hydrodynamic parameters of wheat flour particles.The mathematical model of the separation of wheat flour into fractions in a pneumatic screw channel considered in the article serves as the basis for preliminary calculations of the division of wheat flour into fractions according to aerodynamic parameters and the development of resource-saving technologies.