Effects of the method of identification of the diffusion coefficient on accuracy of modeling bound water transfer in wood

  • Wieslaw Olek
  • Jerzy Weres


An alternative approach to determining the bound water diffusion coefficient is proposed. It comprises a method for solving the inverse diffusion problem, an improved algorithm for the bound-constrained optimization as well as an alternative submodel for the diffusion coefficient’s dependency on the bound water content. Identification of the diffusion coefficient for Scots pine wood (Pinus sylvestris L.) using the proposed inverse approach is presented. The accuracy of predicting the diffusion process with the use of the coefficient values determined by traditional sorption methods as well as by the inverse modeling approach is quantified. The similarity approach is used and the local and global relative errors are calculated. The results show that the inverse method provides valuable data on the bound water diffusion coefficient as well as on the boundary condition. The results of the identification can significantly improve the accuracy of mass transfer modeling as studied for drying processes in wood.


Inverse method Computer-aided identification Fick’s law Scots pine wood Sorption experiments Validation of identification 


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© Springer Science+Business Media B.V. 2006

Authors and Affiliations

  1. 1.Department of Mechanical Engineering and Thermal TechniquesAgricultural University of PoznańPoznańPoland
  2. 2.Institute of Agricultural EngineeringAgricultural University of PoznańPoznańPoland

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