Mathematical model of the bleaching process with chemical kinetics of first and general order

Abstract

Mathematical modeling of the bleaching process with a chemical reaction and diffusion of bleaching agent into a thin polymeric matrix film by movement through the micropores is studied in the present paper. The model was developed after considering theoretical methods of chemical engineering, the physical operation mechanism of the bleaching process and the main parameters that influence the diffusion mechanism. The efficiency factor for chemical kinetics of first and nth order processes were described using analytical solutions and perturbation methods. For the solution of the dynamic model, two cases of boundary conditions were explored. The first case describes diffusion in a well-stirred medium and the second case describes the situation when the bulk fluid moves slowly and interfacial resistance is present. In the latter case, the difference finite method was used as numerical tool for solving the problem and finding the concentration profile in the direction of the x-axis. Accordingly, experimental measurements were performed to determine the effective diffusion coefficient of bleaching agent in a polymeric matrix. © 2017, Akadémiai Kiadó, Budapest, Hungary.