Mathematical model of current carrying ion concentration distribution on the stem wall surface of plant materials in electroosmotic dehydration processes

Abstract

Increasing the energy efficiency of electroosmotic dehydration of plant materials implies increasing the technological component and reducing the thermal component which may be most clearly realized on the basis of the analysis of the electrical equivalent substitution scheme of the stem wall. To construct the stem wall substitution scheme, it is reasonable to represent the process of current-determining ion transport in the form of two stages the first of which involves ion transport across the interface “stem wall - aqueous electrolyte solution”, and the second stage involves ion transport directly through the stem wall. This paper discusses the first of the mentioned transfer stages. To substantiate the elemental composition, configuration and parameters of the elements of the interfacial boundary substitution scheme, knowledge of the concentration distribution of the current-determining ion on the surface of the stem wall is required. The purpose of modeling is to obtain a mathematical expression describing the distribution of current-determining ion concentration on the stem wall surface of plant materials in the processes of electroosmotic dehydration of forage grasses. Methods and means of the theory of electrochemical kinetics, kinetic electrical conductivity, biophysics, membrane processes, classical algorithms of solutions of partial differential equations with known initial and boundary conditions, including direct and inverse Laplace transform, were used. The obtained equation gives the value of ion concentration fluctuations at the interface if there is a transfer of charged particles to the interphase boundary and transfer through it at a rate directly proportional to the current density through the stem wall and is the basis for synthesizing an equivalent scheme of substitution of the stem wall corresponding to the stage of ion transfer through the interface “stem wall surface - aqueous electrolyte solution”.