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An Observer Based Methodology for Estimating Concentration-Dependent Diffusion Coefficients in Drying Considering Shrinkage

  • Carlos Martínez-Vera EMAIL logo , Alexander Schaum , Jesús Alvarez Calderón and Mario G. Vizcarra-Mendoza
Published/Copyright: June 8, 2013

Abstract

In this work, we present a method for estimating the diffusion coefficient in isothermal drying processes in those cases in which the associated shrinkage cannot be neglected. We assume that the drying process is described by the diffusion equation and depart of a numerical solution of reduced order to the corresponding problem. The method chosen for identifying the parameter in question is based in a high gain filter. As an example for showing the proposed method we take a solid presented by Aguerre et al. (Latin American Applied Research 2008;38:345–9). First, we solve the direct problem for generating an average moisture content profile and the corresponding radius profile. Taking the radius evolution as known data and the average moisture evolution as the innovation term in the filter, we solve the inverse problem and as a result a moisture-dependent diffusion coefficient is obtained, which is refined in a posterior and final optimization step.

References

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Published Online: 2013-06-08

©2013 by Walter de Gruyter Berlin / Boston

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