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

Author:
Martínez-Vera, C., Ruiz-Martínez, R.S., Vizcarra-Mendoza, M.G., Álvarez-Calderón, J.
Source:
Journal of food engineering 2010 v.101 no.1 pp. 16-22
ISSN:
0260-8774
Subject:
diffusion, extraction, simulation models, chemical concentration, tung oil, seeds, seed extracts, estimation, model food systems
Abstract:
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.
Agid:
789647