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Mathematical analysis of transport properties of polymer films for food packaging. VII. Moisture transport through a polymer film with subsequent adsorption on and diffusion through food
Author(s) -
Smith Jeffrey S.,
Peppa Nikolaos A.
Publication year - 1991
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1991.070430702
Subject(s) - adsorption , moisture , polymer , diffusion , fick's laws of diffusion , food packaging , thermodynamics , materials science , boundary value problem , transient (computer programming) , diffusion equation , mechanics , chemistry , composite material , mathematics , physics , computer science , mathematical analysis , food science , engineering , metric (unit) , operations management , operating system
Abstract A system of partial differential equations was developed to describe the transient, three‐step transport of moisture through packaged food products. The steps included (i) Fickian diffusion through the polymer package film; (ii) Langmuirian adsorption upon the food surface; and (iii) Fickian diffusion through the food material. A set of finite difference equations was derived to approximate the continuous model. These equations were solved for standard boundary conditions in each section of the food packages. The results can be used for the determination of the food package shelf life.