期刊
FOOD RESEARCH INTERNATIONAL
卷 105, 期 -, 页码 920-929出版社
ELSEVIER
DOI: 10.1016/j.foodres.2017.11.065
关键词
Diffusion coefficient; Partition coefficient; Convective mass transfer coefficient; Ordinary least square estimation
资金
- Universiti Sains Malaysia
- Ministry of Higher Education, Malaysia
- Michigan State University
- USDA National Institute of Food and Agriculture
- Michigan AgBioResearch, Hatch project R. Auras
A two-step solution based on the boundary conditions of Crank's equations for mass transfer in a film was developed. Three driving factors, the diffusion (D), partition (K-p,K-f) and convective mass transfer coefficients (h), govern the sorption and/or desorption kinetics of migrants from polymer films. These three parameters were simultaneously estimated. They provide in-depth insight into the physics of a migration process. The first step was used to find the combination of D, K-p,K-f and h that minimized the sums of squared errors (SSE) between the predicted and actual results. In step 2, an ordinary least square (OLS) estimation was performed by using the proposed analytical solution containing D, K-p,K-f and h. Three selected migration studies of PLA/antioxidant-based films were used to demonstrate the use of this two-step solution. Additional parameter estimation approaches such as sequential and bootstrap were also performed to acquire a better knowledge about the kinetics of migration. The proposed model successfully provided the initial guesses for D, K-p,K-f and h. The h value was determined without performing a specific experiment for it. By determining h together with D, under or overestimation issues pertaining to a migration process can be avoided since these two parameters are correlated.
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