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

Holzforschung

Volumn 61, Issue 5, 2007, Pages 563-572

  Frandsen, Henrik Lund ^a   Damkilde, Lars ^a   Svensson, Staffan ^b  

^a AALBORG UNIVERSITY   (Denmark)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Adsorption; Boundary conditions; Desorption; Diffusion; Multi Fickian; Multi phase; Non Fickian; Slow sorption; Sorption rate

Indexed keywords

BOUNDARY CONDITIONS; SORPTION; WOOD;

ADSORPTION RATE MODEL; FICKIAN DIFFUSION EQUATION; MULTI-FICKIAN MOISTURE TRANSPORT MODEL;

MOISTURE;

MOISTURE; SORPTION; WOOD;

EID: 34547812231     PISSN: 00183830     EISSN: 1437434X     Source Type: Journal    
DOI: 10.1515/HF.2007.085     Document Type: Article

References (28)

1. Absetz, I., Koponen, S. (1997) Fundamental diffusion behaviour of wood. In: Proceedings of the International Conference on Wood-Water Relations, Copenhagen. E8. pp. 89-106.
2. Bandyopadhyay, A., Radhakrishnan, H., Ramarao, B.V., Chatterjee, S.G. (2000) Moisture sorption response of paper subjected to ramp humidity changes: Modeling and experiments. Ind. Eng. Chem. Res. 39:219-226.
3. Christensen, G.N. (1965) The rate of sorption by thin materials. In: Humidity and Moisture, Vol. 4. Eds. Wexler, A., Winn, P.A. Reinhold, New York. pp. 279-293.
4. Crank, J. The Mathematics of Diffusion. Oxford University Press, London, 1967.
5. Crank, J., Park, G.S. (1951) Diffusion in high polymers - some anomalies and their significance. Trans. Faraday Soc. 47: 1072-1084.
6. Cunningham, M.J. (1994) A model to explain "anomalous" moisture sorption in wood under step function driving forces. Wood Fiber Sci. 27:265-277.
7. Foss, W.R., Bronkhorst, C.A., Bennett, K.A. (2003) Simultaneous heat and mass transport in paper sheets during moisture sorption from humid air. Int. J. Heat Mass Trans. 46: 2875-2886.
8. Frandsen, H.L. (2005) Modeling of moisture transport in wood. In: Wood Science and Timber Engineering. Department of Structural Engineering and Building Technology, Aalborg University, Aalborg (ISSN 1395-7953 R0502).
9. Frandsen, H.L., Svensson, S. (2007) Implementation of sorption hysteresis in multi-Fickian moisture transport. Holzforschung, submitted.
10. Håkansson, H. (1994) Experimentiella studier av transient sorption i cellvägen i trä. Report TABK-94/3021. Lund Institute of Technology, Lund, Sweden.
11. Krabbenhøft, K., Damkilde, L. (2004) A model for non-Fickian moisture transfer in wood. Mater. Struct. 37:615-622.
12. Mandelkern, L., Long, F.A. (1951) Rate of sorption of organic vapors by films of cellulose acetate. J. Polym. Sci. 6:457-469.
13. Massoquete, A., Lavrykov, S., Ramarao, B.V. (2005) Non-Fickian behaviour of moisture diffusion in paper. J. Pulp Pap. Sci. 31:121-127.
14. Rosen, H.N. (1978) The influence of external resistance on moisture adsorption rates in wood. Wood Fiber Sci. 10:218-228.
15. Salin, J.G. (1996) Mass transfer from wooden surfaces and internal moisture non-equilibrium. Dry. Technol. 14:2213-2224.
16. Schirmer, R. (1938) Die Diffusionszahl von WasserDampf-Luftgemischem und die Verdampfungsgeschwindigkeit. VDI Beihaft Verfarestech. 6:170.
17. Siau, J.F., Transport Processes in Wood. Springer-Verlag, Heidelberg, 1984.
18. Siau, J.F., Wood: Influence of Moisture on Physical Properties. Department of Wood Science and Forest Products, Virginia Polytechnic Institute and State University, 1995.
19. Siau, J.F., Avramidis, S. (1993) Application of a thermodynamic model to experiments on nonisothermal diffusion of moisture in wood. Wood Sci. Technol. 27:131-136.
20. Skaar, C., Siau, J.F. (1981) Thermal diffusion of bound water in wood. Wood Sci. Technol. 15:105-121.
21. Stamm, A.J. (1959) Bound-water diffusion into wood in the fiber direction. For. Prod. J. 9:27-32.
22. Stamm, A.J. (1960a) Bound-water diffusion into wood in the across-the-fiber directions. For. Prod. J. 10:524-528.
23. Stamm, A.J. (1960b) Combined bound-water and water-vapor diffusion into sitka spruce. For. Prod. J. 10:644-648.
24. Stamm, A.J., Nelson, R.M. (1961) Comparison between measured and theoretical drying diffusion coefficients for southern pine. For. Prod. J. 11:536-543.
25. Wadsö, L. (1993) Studies of water vapor transport and sorption in wood. PhD Thesis. Building Materials, Lund University, Sweden.
26. Wadsö, L. (1994a) Unsteady-state water vapor adsorption in wood: An experimental study. Wood Fiber Sci. 26:36-50.
27. Wadsö, L. (1994b) Describing non-Fickian water-vapor sorption in wood. J. Mater. Sci. 29:2367-2372.
28. Whitaker, S. (1977) Simultaneous heat, mass, and momentum transfer in porous media: A theory of drying. In: Advances in Heat Transfer, Vol. 13. Academic Press, New York. pp. 119-203.