Wood Sorption Fractality in The Hygroscopic Range. Part I. Evaluation of A Modified Classic Bet Model
Keywords:
Water, sorption, isotherm, fractal model, internal surface, clustersAbstract
A new model for determining the fractal dimension (D) of the internal cell-wall surfaces of klinki pine by using sorption isotherms at a relative vapor pressure range from 0.0 to 0.96 is derived and evaluated. The new model was derived from the classic BET theory based on the assumption that the wood internal surfaces are geometrically complex, rather than flat. The results showed that within cell walls, the wood surface profiles and the sorbed water molecules organization changed under different moisture contents and temperatures. for both desorption and adsorption at all four temperatures, namely, 10, 25, 40, and 55°C, there were at least two distinct fractal dimensions (D < 2 and D > 2) to characterize fractality of internal wood surfaces. Fractal dimensions were larger in adsorption than in desorption for all temperatures, except 10°C, from 13% to 20% moisture content range.References
Aguerre, R. J., C. Suarez, and P. E. Voillaz. 1989a. New BET type multilayer sorption isotherms. Part I: Theoretical derivation of the model. J. Food Sci.22(4):188-191.nAguerre, R. J., P. E. Viollaz, and C. Suarez. 1989b. New BET type multilayer sorption isotherms. Part II: Modeling water sorption in foods. J. Food Sci.22(4):192-195.nAvnir, D., D. Farin, and P. Pfeifer. 1983. Chemistry in non-integer dimensions between two and three. II. Fractal surfaces of adsorbents. J. Chem. Phys.79(7):3566-3571.nBrunaner, S., P. H. Emmeit, and E. Teller. 1938. Adsorption of gases in multilayer. J. Am. Chem. Soc.60:309-319.nDent, R. W. 1977. A multilayer theory for gas sorption. Part I: Sorption of a single gas. Textile Res. J.47:145-152.nDeutscher, G., R. Zallen, and J. Adler. 1983. Percolation structures and processes. Adam Hilger and Israel Physical Society, New York, NY. Pp. 59-228.nHartley, I. D., and F. A. Kamke. 1992. Cluster theory for water sorption in wood. Wood Sci. Technol.26:83-99.nHartley, I. D., and S. Avramidis. 1993. Analysis of the wood sorption isotherm using clustering theory. Holzforschung47:163-167.nHatzikiriakos, S. G., and S. Avramidis. 1994. Fractal dimension of wood surfaces from sorption isotherm. Wood Sci. Technol.28:275-284.nKelsey, K. 1957. The sorption of water vapor by wood. Austr. J. Appl. Sci.8:42-54.nKutarov, V. V., and B. M. Kats. 1993. Determination of the fractal dimension of ion exchange fibers from adsorption data. J. Phys. Chem.67(9):1666-1669.nLe, C. V., and N. G. Ly. 1992. Multilayer adsorption of moisture in wool and its application in fabric steaming. Textile Res. J.62(11):648-657.nMandelbrot, B. B. 1977. Fractals. Freeman Publications, San Francisco, CA.nMandelbrot, B. B. 1982. The fractal geometry of nature. Freeman Publications, New York, NY.nNeimark, A. V. 1990. Determination of the surface fractal dimensionality from the results of an adsorption experiment. Russian J. Phys. Chem.64:2593-2605.nPfeifer, P., and D. Avnir. 1983. Chemistry in non-integer dimensions between two and three. I. Fractal theory of heterogeneous surfaces. J. Chem. Phys.79(7):3558-3565.nPfeifer, P., D. Avnir., and D. Farin. 1984. Scaling behavior of surface irregularity in the molecular domain: From adsorption studies to fractal catalysts. J. Statis. Phys.36:699-715.nPfeifer, P., M. Obert, and M. W. Cole. 1989. Fractal BET and FHH theories of adsorption: A comparative study. Proc. Royal Soc. London A.423:169-188.nRuss, J. C. 1994. Fractal surfaces. Plenum Publication, New York and London.nSiau, J. F. 1984. Transport processes in wood. Springer Series in Wood Science, Berlin, Heidelberg, New York.nSkaar, C. 1972. Water in wood. Syracuse Univ. Press. Syracuse, NY.nSkaar, C. 1988. Wood-water relations. Springer Series in Wood Science, Heidelberg, Germany.nStamm, A. J. 1964. Wood and cellulose science. Roland. New York, NY.nStauffer, D., and A. Aharony. 1992. Introduction to percolation theory. 2nd edition. Taylor & Francis. London, UK.n
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