MATHEMATICAL MODEL AND NUMERICAL SIMULATION OF OXYGEN TRANSPORT IN MULTILAYER FOOD PACKAGING: A SEMI-ANALYTICAL APPROACH

Palavras-chave: numerical methods; diffusion of gases; mass transport; polymeric films; multilayer systems

Resumo

The purpose of this work was to develop a numerical simulation methodology using a free software capable of predicting the behavior of oxygen in multilayer polymeric systems to optimize packaging configurations with a greater barrier to O2. The Laplace Transform method was used to solve partial differential equations, with numerical inversion by the Stehfest algorithm together with the Gauss-Sidel method. It was possible to simulate the oxygen concentration profile in packaging systems containing two or three materials in the configuration. For some systems, the increase in the simulation time caused a numerical fluctuation at the material interface, especially if oxygen diffused from a material with greater diffusivity to one with lower diffusivity. The numerically simulated oxygen concentration profile can be associated with results from the literature, experimentally validated. The results showed to be promising for application in diffusion problems of multilayer systems, and the methodology can be used to describe systems with more layers. Mathematical modeling and numerical simulation have been allies to predict the behavior of oxygen in different materials and layer configurations, and it is relevant to provide a better understanding of the oxygen transport fundamentals involved and shorten product development cycle time and cost, contributing to the economy and new product development.

Biografia do Autor

Vivian Machado de Menezes, Universidade Federal da Fronteira Sul

possui graduação em Física Bacharelado com enfâse em Física Médica pelo Centro Universitário Franciscano (2006), mestrado (2008) e doutorado (2012) em Física da Matéria Condensada pela Universidade Federal de Santa Maria. Tem experiência na área de Física, mais especificamente Física Médica; propriedades eletrônicas e estruturais de nanoestruturas; estados eletrônicos; e experimentos didáticos de baixo custo. Atualmente é Professora do Magistério Superior da Universidade Federal da Fronteira Sul, Campus Laranjeiras do Sul.

Publicado
12-06-2023
Seção
Artigos