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Model-free estimation of mass fluxes based on concentration profiles : I - presentation of the method and of a sensitivity analysis

Lucas T., Bohuon P.. 2005. Journal of Food Engineering, 70 (2) : p. 129-137.

DOI: 10.1016/j.jfoodeng.2004.09.019

An approach to identify mass diffusion coefficients (D) is presented, and applied to the case of a slab. It was based on a numerical exploitation of the concentration profiles to estimate the mass fluxes. The effect of the quality of the experimental data (spatial resolution, [delta]z, temporal resolution, [delta]Fo, of the concentration profiles, sampling) on the bias and sensitivity of the method was studied thanks to the use of simulated data (Fo E [0,2]), to which could be added Gaussian noise. Estimated D value were compared with the true solution (the one used for generating the simulated concentration data). The errors on D are large at low Fo < 0.2. But for Fo > 0.2, D can be estimated with less than 1% of bias if [delta]Fo < 0.1 and [delta]z < 0.2. Space resolution had a minor effect. Although rough, the numerical procedure adopted in this paper revealed especially suitable for modern techniques of concentration measurements exhibiting high-accuracy (<1%).

Mots-clés : alimentation; transfert de masse; modèle; méthode; modèle de simulation; produit alimentaire; traitement; diffusion; concentration

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