About nonlinear grain mixture flow model on a flat vibrosieve

Abstract

Steady flow of the separated grain mixture on a flat vibrosieve, inclined to the horizon was considered. The nonlinear rheological dependence of Savage type rheological between the shear stress in the mix and shear strain rate was adopted. A closed analytical solution of the nonlinear differential equations of motion was built, resulting in a compact formula for calculating the mixture flow rate and volumetric efficiency of the sieve was received. In order to simplify the experiments for determination of rheological constants of the mathematical model, the analytical solution of the return task of motion was built to. This solution makes it possible to carry out identification by results of measurements of kinematic parameters of mixture flow at two angles of inclination of the sieve to the horizon.