Implementation of sorption hysteresis in multi-Fickian moisture transport

Holzforschung

Volumn 61, Issue 6, 2007, Pages 693-701

  Lund Frandsen, Henrik ^a   Svensson, Staffan ^b  

^a AALBORG UNIVERSITY   (Denmark)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Hysteresis; Moisture transport; Multi Fickian; Multi phase; Non Fickian, sorption

Indexed keywords

ATMOSPHERIC HUMIDITY; DIFFUSION; HYSTERESIS; MOISTURE; SORPTION; WATER VAPOR;

BOUND-WATER DIFFUSION; FICKIAN DIFFUSION EQUATIONS; MOISTURE TRANSPORT;

WOOD;

DIFFUSION; HYSTERESIS; MOISTURE; SORPTION; WOOD;

EID: 35848935180     PISSN: 00183830     EISSN: 1437434X     Source Type: Journal    
DOI: 10.1515/HF.2007.113     Document Type: Article

References (30)

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. Ahlgren, L. (1972) Moisture fixation in porous building materials. Division of Building Technology, Lund Institute of Technology, Lund.
3. Avramidis, S. (1987) The basics of sorption. In: Proceedings of the International Conference on Wood-Water Relations, Copenhagen. E8, pp. 1-16.
4. 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.
5. Christensen, G.N. (1965) The rate of sorption by thin materials. In: Humidity and Moisture. Eds. Wexler, A., Winn, P.A. Reinhold Pub. Corp., New York. pp. 279-293.
6. Crank, J. The Mathematics of Diffusion. Oxford University Press, London, 1967.
7. Crank, J., Park, G.S. (1951) Diffusion in high polymers - some anomalies and their significance. Trans. Faraday Soc. 47:1072-1084.
8. Cunningham, M.J. (1994) A model to explain "anomalous"moisture sorption in wood under step function driving forces. Wood Fiber Sci. 27:265-277.
9. Everett, D.H. (1954) A general approach to hysteresis. Part 3. A formal treatment of the independent domain model of hysteresis. Trans. Faraday Soc. 50:1077-1096.
10. Everett, D.H. (1955) A general approach to hysteresis. Part 4. An alternative formulation of the domain model. Trans. Faraday Soc. 51:1551-1557.
11. 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).
12. Frandsen, H.L., Svensson, S., Damkilde, L. (2007a) A hysteresis model suitable for numerical simulation of MC in wood. Holzforschung 61:175-181.
13. Frandsen, H.L., Damkilde, L., Svensson, S. (2007b) A revised multi-Fickian moisture transport model to describe non-Fickian effects in wood. Holzforschung, in press.
14. Krabbenhøft, K., Damkilde, L. (2004) A model for non-Fickian moisture transfer in wood. Mater. Struct. 37:615-622.
15. Mandelkern, L., Long, F.A. (1951) Rate of sorption of organic vapors by films of cellulose acetate. J. Polym. Sci. 6:457-469.
16. Massoquete, A., Lavrykov, S., Ramarao, B.V. (2005) Non-Fickian behaviour of moisture diffusion in paper. J. Pulp Pap. Sci. 31:121-127.
17. Nyman, U., Gustafsson, P.J., Johannesson, B., Hagglund, R. (2006) A numerical method for the evaluation of non-linear transient moisture flow in cellulosic materials. Int. J. Num. Methods Eng. 66:1859-1883.
18. Pedersen, C.R. (1990) Combined heat and moisture transfer in build constructions. Thermal Insulation Laboratory, Technical University of Denmark.
19. Peralta, P.N. (1995a) Modelling wood moisture sorption hysteresis using the independent-domain theory. Wood Fiber Sci. 27:250-257.
20. Peralta, P.N. (1995b) Sorption of moisture by wood within a limited range of relative humidities. Wood Fiber Sci. 27:13-21.
21. Peralta, P.N. (1996) Moisture sorption hysteresis and the independent-domain theory: the moisture distribution function. Wood Fiber Sci. 28:406-410.
22. Peralta, P.N., Bangi, A.P. (1998a) Modeling wood moisture sorption hysteresis based on similarity hypothesis. Part 1. Direct approach. Wood Fiber Sci. 30:48-55.
23. Peralta, P.N., Bangi, A.P. (1998b) Modeling wood moisture sorption hysteresis based on similarity hypothesis. Part II. Capillary-radii approach. Wood Fiber Sci. 30:148-154.
24. Rosen, H.N. (1973) The influence of external resistance on moisture adsorption rates in wood. Wood Fiber Sci. 10:218-228.
25. Salin, J.G. (1996) Mass transfer from wooden surfaces and internal moisture non-equilibrium. Drying Technol. 14:2213-2224.
26. Schirmer, R. (1938) Die Diffusionszahl von Wasserdampf-Luftgemischen und die Verdampfungsgeschwindigkeit. VDI Beiheft Verfahrestechnik 6:170.
27. Siau, J.F., Wood: Influence of Moisture on Physical Properties. Department of Wood Science and Forest Products, Virginia Polytechnic Institute and State University, Blacksburg, VA, 1995.
28. Skaar, C., Siau, J.F. (1981) Thermal diffusion of bound water in wood. Wood Sci. Technol. 15:105-121.
29. Stamm, A.J. (1959) Bound-water diffusion into wood in the fiber direction. Forest Prod. J. 9:27-32.
30. Wadsö, L. (1994) Unsteady-state water vapor adsorption in wood: an experimental study. Wood Fiber Sci. 26:36-50.