Mathematical model of the extraction of vegetable oil by an organic solvent

Abstract

A mathematical model of the process of extraction of vegetable oil by an organic solvent for a separate section of the extractor with irrigation has been developed. The model is intended for the synthesis of an automatic control system. A description of the change in the oil concentration in the oilcake along the length of the extraction section and in the miscella for a steady-state operation is obtained. And a system of independent differential equations with a delayed argument is obtained that connects deviations from the nominal oil concentrations in the oilcake and miscella at the outlet of the section with flow deviations and oil concentrations at the inlet of the section. The transition from partial differential equations to equations with a delayed argument will reduce the time spent on calculating the adjustable parameters of the control system during its synthesis.