ON THE THEORY OF MOTION OF AIR MIXTURE WITH FIBROUS MATERIALS IN A PIPELINE

Аннотация

The article provides theoretical prerequisites for the study of the movement of fibrous materials in a pipeline, taking into account the differences in speed and changes in pressure in the air mixture. The motion of an aeromixture with a fibrous material in a horizontal circular cylindrical pipe is considered, and at the same time, in the mathematical modeling of the movement of material through pipelines and the description of its equation, such physical and mechanical features of a fibrous medium as compressibility, deformability, variability of the geometric shape during movement and high porosity are taken into account. To generalize the system of equations of motion and the equation of continuity of a compressible air mixture, an equation has been drawn up that relates the flow pressure to the true density of the medium. The solution of the above equations in the article gives the law of the distribution of the velocities of the media and the change in pressure in the air mixture.