Predicting Equilibrium Moisture Content of Wood by Mathematical Models

Authors

  • William T. Simpson

Keywords:

Relative humidity, vapor pressure, curve fitting

Abstract

Ten sorption models were tested on the wood-water system using data available in the literature. They were tested solely on the basis of how well they could functionally relate the data for equilibrium moisture content and relative humidity. The two-hydrate form of the Hailwood and Horrobin model is the most accurate of those tested that are written as moisture content equal to a function of relative humidity. The Pierce model is the most accurate of those tested that are written as relative humidity equal to a function of moisture content.

References

Anderson, N. T., and J. L. McCarthy. 1963. Two-parameter isotherm equation for fiber-water systems. Ind. Eng. Chem. Process Des. Develop. 2:103-105.nBarrje, J. A. 1968. Water in polymers. In J. Crank and G. S. Park, eds., Diffusion in polymers. Academic Press, New York.nBradley, R. S. 1936. Polymolecular adsorbed films. Part II. The general theory of the condensation of vapors on finely divided solids. J. Chem. Soc. 1799-1804.nBrunauer, S., P. H. Emmett, and E. Teller. 1938. Adsorption of gases in multimolecular layers. J. Am. Chem. Soc. 60:309-319.nChoonc, E. T. 1963. Movement of moisture through a softwood in the hygroscopic range. For. Prod. J. 13(11):489-498.nFreundlich, H. 1922. Colloid and capillary chemistry. E. P. Dutton and Co., New York.nHailwood, A. J., and S. Horrobin. 1946. Absorption of water by polymers: Analysis in terms of a simple model. Trans. Faraday Soc. 42B:84-102.nHearmon, R. F. S., and J. M. Paton. 1964. Moisture content changes and creep of wood. For. Prod. J. 14(8):357-359.nKing, G. 1960. Theories of multi-layer adsorption. In J. W. S. Hearle and R. H. Peters, eds., Moisture in textiles. Textile Book Publ. Inst., Inc., New York.nKübler, H. 1957. Studies on the movement of moisture through wood. Holz Roh- Werkst. 15(11):453-468.nMalmquist, L. 1958. Sorption as deformation of space. Svenska Traforsknings Institut. Träteknik Medd. 983, Stockholm.nMcLaren, A. D., and J. W. Rowen. 1951. Sorption of water vapor by proteins and polymers: A review. J. Polymer Sci. 7:289-324.nMorton, W. E., and J. W. S. Hearle. 1962. Physical properties of textile fibres. Text. Inst., Butterworths, London.nPierce, F. T. 1929. A two-phase theory of the absorption of water vapor by cotton cellulose. J. Text. Inst. 20:T133-T150.nScarborough, J. F. 1962. Numerical mathematical analysis. 5th ed. Johns Hopkins Press, Baltimore.nSimpson, W. T. 1971. Equilibrium moisture content prediction for wood. For. Prod. J. 21(5):48, 49.nSkarr, C. 1954. Analysis of methods for determining the coefficients of moisture diffusion in wood. For. Prod. J. 4(6):403-410.nSkarr, C. 1972. Water in wood. Syracuse Wood Science Series, Syracuse Univ. Press, Syracuse, N.Y.nStamm, A. J., and W. K. Loughborough. 1935. Thermodynamics of the swelling of wood. J. Phys. Chem. 39(1): 121-132.nU.S. Forest Products Laboratory. 1955. Wood handbook. U.S. Dep. Agr. Handb. No. 72. For. Prod. Lab., For. Serv., Sup. Doc., Washington, D.C.nVenkateswaran, A. 1970. Sorption of aqueous and nonaqueous media by wood and cellulose. Chem. Rev. 70(6):619-637.n

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Published

2007-06-05

Issue

Number 1 / Spring 1973

Section

Research Contributions

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