Mathematical Model for Perforation Effect on Oxygen and Water Vapor Dynamics in Modified‐Atmosphere Packages

Abstract

ABSTRACT A mathematical model was developed to study the influence of film perforations on O 2 concentration and relative humidity in the atmosphere in a package containing fresh fruits. The model included equations describing fruit respiration and transpiration as well as permeation of oxygen and water vapor through the perforated film. Closed‐system experiments with mango fruit revealed a linear dependence of respiration rate on O 2 concentration. The model allowed analytical computation of the time course of in‐package O 2 concentration and relative humidity, and the results were in good agreement with experimentally measured values. Perforations had a much more pronounced effect on O 2 concentration than on relative humidity. The model enabled practical predictions for designing modified‐atmosphere packaging.