APPLICATION OF THE LAPLACE TRANSFORM TO CALCULATE THE VELOCITY OF A TWO-PHASE FLUID MODULATED BY THE MOVEMENT OF CUTTINGS OF AN ENERGY WILLOW (SALIX VIMINALIS)

Abstract

In order to create automatic systems for planting energy willow, it is important to study the process of gravitational unloading of cuttings. When constructing a mathematical model of this process, planting material was characterized as a pseudo-fluid consisting of a discrete component (cuttings) and a gaseous medium (air), and the gravity unloading itself was considered from the point of view of hydrodynamic multiphase systems using the corresponding general equations for characterizing the motion. By applying the Laplace transform to determine the Fourier coefficients, we obtain a system of linear algebraic equations of the velocity of motion of such a pseudo-fluid.