Mathematical modeling of the extraction process of oil-containing raw materials

Abstract

A mathematical model for the extraction of oil-containing seeds in a one-dimensional formulation is considered. It is assumed that the seed petal as a modeling object has the form of a three-dimensional rectangular unlimited plate. The equation of nonstationary diffusion was chosen as a mathematical model and the third initial boundary condition was formed. Biot and Fourier diffusion criteria were determined. The problem is solved numerically using an implicit finite-difference scheme and the sweep method. The results of the theoretical study are compared with experimental data, which shows no more than 10% relative error.