caa a22 4500 463163214 CHVBK 20180406164754.0 cr unu---uuuuu 170326e20070101xx s 000 0 eng 10.1007/s11242-006-9010-6 doi (NATIONALLICENCE)springer-10.1007/s11242-006-9010-6 Effects of the method of identification of the diffusion coefficient on accuracy of modeling bound water transfer in wood [Elektronische Daten] [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. Springer Science+Business Media, Inc., 2006 Inverse method nationallicence Computer-aided identification nationallicence Fick's law nationallicence Scots pine wood nationallicence Sorption experiments nationallicence Validation of identification nationallicence a : Constant in Eqs. 13 and 14 (−) nationallicence b : Constant in Eq. 14 (−) nationallicence D : Diffusion coefficient (m2/s) nationallicence D 0 : Coefficient in Eqs. 12-14 (m2/s) nationallicence e 1 : Local relative error (%) nationallicence e 2 : Global relative error (%) nationallicence E : Reduced bound water content (−) nationallicence l : Half-thickness (m) nationallicence M : Water content (kg/kgdry base) nationallicence M ∞ : Equilibrium water content (kg/kgdry base) nationallicence M 0 : Initial water content (kg/kgdry base) nationallicence M ( t ) : Global water content in selected time instants (kg/kgdrybase) nationallicence M exp( t ) : Experimental water content (kg/kgdrybase) nationallicence M pred( t ) : Predicted water content (kg/kgdrybase) nationallicence NT : Number of time intervals in computation. NT exp & Number of time intervals in experiment nationallicence S : Objective function nationallicence t : Time (s) nationallicence t F : Final time (s) nationallicence w i : Weight function nationallicence x : Space dimension (m) nationallicence Greek symbols nationallicence Γ : Points located at the two boundary sides of the domain (two points in the one-dimensional model) nationallicence σ : Surface emission coefficient (m/s) nationallicence Ω : Geometric domain of the R 1 space nationallicence $$\overline{\Omega}$$ : Geometric domain of the R 1 space with the boundary nationallicence Olek Wieslaw Department of Mechanical Engineering and Thermal Techniques, Agricultural University of Poznań, ul. Wojska Polskiego 28, 60-637, Poznań, Poland aut Weres Jerzy Institute of Agricultural Engineering, Agricultural University of Poznań, ul. Wojska Polskiego 28, 60-637, Poznań, Poland aut Transport in Porous Media Kluwer Academic Publishers 66/1-2(2007-01-01), 135-144 0169-3913 66:1-2<135 2007 66 11242 https://doi.org/10.1007/s11242-006-9010-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-9010-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Olek Wieslaw Department of Mechanical Engineering and Thermal Techniques, Agricultural University of Poznań, ul. Wojska Polskiego 28, 60-637, Poznań, Poland aut NATIONALLICENCE 700 1- Weres Jerzy Institute of Agricultural Engineering, Agricultural University of Poznań, ul. Wojska Polskiego 28, 60-637, Poznań, Poland aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 66/1-2(2007-01-01), 135-144 0169-3913 66:1-2<135 2007 66 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer