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Wood Research and Technology


Cellulose – Hemicelluloses – Lignin – Wood Extractives

Editor-in-Chief: Faix, Oskar

Editorial Board: Daniel, Geoffrey / Militz, Holger / Rosenau, Thomas / Salmen, Lennart / Sixta, Herbert / Vuorinen, Tapani / Argyropoulos, Dimitris S. / Balakshin, Yu / Barnett, J. R. / Burgert, Ingo / Rio, Jose C. / Evans, Robert / Evtuguin, Dmitry V. / Frazier, Charles E. / Fukushima, Kazuhiko / Gindl-Altmutter, Wolfgang / Glasser, W. G. / Holmbom, Bjarne / Isogai, Akira / Kadla, John F. / Koch, Gerald / Lachenal, Dominique / Laine, Christiane / Mansfield, Shawn D. / Morrell, J.J. / Niemz, Peter / Potthast, Antje / Ragauskas, Arthur J. / Ralph, John / Rice, Robert W. / Salin, Jarl-Gunnar / Schmitt, Uwe / Schultz, Tor P. / Sipilä, Jussi / Takano, Toshiyuki / Tamminen, Tarja / Theliander, Hans / Welling, Johannes / Willför, Stefan / Yoshihara, Hiroshi

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Volume 61, Issue 5


A revised multi-Fickian moisture transport model to describe non-Fickian effects in wood

Henrik Lund Frandsen / Lars Damkilde / Staffan Svensson
Published Online: 2007-08-08 | DOI: https://doi.org/10.1515/HF.2007.085


This paper presents a study and a refinement of the sorption rate model in a so-called multi-Fickian or multi-phase model. This type of model describes the complex moisture transport system in wood, which consists of separate water vapor and bound-water diffusion interacting through sorption. At high relative humidities, the effect of this complex moisture transport system becomes apparent, and since a single Fickian diffusion equation fails to model the behavior, it has been referred to as non-Fickian or anomalous behavior. At low relative humidities, slow bound-water transport and fast sorption allow a simplification of the system to be modeled by a single Fickian diffusion equation. To determine the response of the system, the sorption rate model is essential. Here the function modeling the moisture-dependent adsorption rate is investigated based on existing experiments on thin wood specimens. In these specimens diffusion is shown to be negligible, allowing a separate study of the adsorption rate. The desorption rate has been observed to be slower at higher relative humidities as well, and an expression analogous to the adsorption rate model is proposed. Furthermore, the boundary conditions for the model are discussed, since discrepancies from corresponding models of moisture transport in paper products have been found.

Keywords: adsorption; boundary conditions; desorption; diffusion; multi-Fickian; multi-phase; non-Fickian; slow sorption; sorption rate

About the article

Corresponding author. Department of Civil Engineering, Aalborg University, Sohngaardsholmsvej 57, 9000 Aalborg, Denmark

Received: 2007-02-14

Accepted: 2007-04-30

Published Online: 2007-08-08

Published in Print: 2007-08-01

Citation Information: Holzforschung, Volume 61, Issue 5, Pages 563–572, ISSN (Online) 1437434X, ISSN (Print) 00183830, DOI: https://doi.org/10.1515/HF.2007.085.

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