Apparent diffusion model assessment in extraction processes by means of a Luenberger observer

In this work a clear methodology is proposed that allows the estimation of diffusion–concentration functional relationship in extraction processes, which are modelled by Fick’s second law. A criterion is proposed for deciding when the diffusivity should be considered a constant value (comparable to...

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Bibliographic Details
Published in:Journal of food engineering 2010-11, Vol.101 (1), p.16-22
Main Authors: Martínez-Vera, C., Ruiz-Martínez, R.S., Vizcarra-Mendoza, M.G., Álvarez-Calderón, J.
Format: Article
Language:English
Subjects:
Assessments
chemical concentration
Diffusion
diffusion models
estimation
Extraction
Luenberger observer
Mathematical analysis
Mathematical models
Methodology
model food systems
Observers
Parameter estimation
Regression
seed extracts
seeds
simulation models
tung oil
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Summary:In this work a clear methodology is proposed that allows the estimation of diffusion–concentration functional relationship in extraction processes, which are modelled by Fick’s second law. A criterion is proposed for deciding when the diffusivity should be considered a constant value (comparable to those obtained by the standard regression technique) and when a function depending on concentration. The methodology is based in a Luenberger observer. The diffusion–concentration relationship is refined by an optimization procedure making use of a numerical solution of the diffusion equation. The robustness of the methodology is assessed by a noise propagation analysis. The methodology is illustrated for oil extraction from tung seeds with experimental data taken from the literature.
ISSN:0260-8774
1873-5770
DOI:10.1016/j.jfoodeng.2010.06.003