About calculation of grain mixture flow on a cylindrical vibration sieve by Bubnov-Galerkin’s method

Abstract

An approximate solution of the nonlinear differential equations describing the axisymmetric motion of layer of vibroliquefied grain mixture on vertical cylindrical sieve of vibrating centrifuge constructed by called method. In the derivation of the differential equations of motion it was used a non-linear realogic dependence of the Savage’s type, between shear stress and shear strain rate. Two variants of calculation formulas are proposed to calculate the flow velocity and the volume efficiency of the sieve, which are based on different approximations of the velocity distribution across the thickness of the moving layer the mixture. In the comparison of the maximum values speed set satisfactory agreement of results that result from the proposed approximate solutions and numerical solution of the boundary problem on a computer.