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Internal mass transfer coefficient during drying of softwood (Pinus elliottii Engelm.) boards

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Abstract

A drying experiment with 36 mm thick softwood boards having an average initial moisture content of approximately 1.2 (dry basis) was performed. Drying temperatures of 40, 60 and 80°C were used. Relative humidity and superficial air velocity were maintained at 40% and 3.0 m s−1, respectively. Internal moisture content was monitored along the process in the single direction of the internal flux of water. Loss in mass of the entire timber board was also determined. An effective coefficient of mass transfer was tuned to internal experimental profiles of moisture content by involving the Fick’s second law. An explicit finite difference method for the numerical solution of the mass balance represented by the Fick’s equation was combined with the simplex method of optimization to obtain a mass transport parameter in the magnitude of 1.5–3.5 × 10−9 m2 s−1. A positive and significant effect of temperature on the effective diffusion coefficient, which was well described by an Arrhenius type expression, was deduced from this investigation. Although a negative effect of the average moisture content on the internal resistance to mass transfer was also observed, it was much less evident; mainly above the wood fiber saturation point. A negligible influence of the local moisture content on the investigated transport parameter was noticed when either a linear or a nonlinear model correlating these variables was adopted.

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References

  • Chen Y, Choog TE, Wetzel MD (1996) A numerical analysis technique to evaluate the moisture dependent diffusion coefficient on moisture movement during drying. Wood Fiber Sci 28:338–345

    CAS  Google Scholar 

  • Droin A, Taverdet JL, Vergnaud JM (1988) Modeling the kinetics of moisture adsorption by wood. Wood Sci Technol 22:11–20

    Article  CAS  Google Scholar 

  • El Kouali M, Vergnaud JM (1991) Modeling the process of absorption and desorption of water above and below the fiber saturation point. Wood Sci Technol 25:327–339

    CAS  Google Scholar 

  • Haque NM, Langrish TAG (2001) Simulation and measurement of stack-wide effects in the modeling of kilns for drying timber. In: Proceedings of Wood Drying Conference, Tsukuba, pp 28–33, 9–13 July 2001

  • Hildebrand R (1970) Kiln drying of sawn lumber. Maschinen Bau GmbH, Nuertingen, Germany

  • Hukka A (1999) The effective diffusion coefficient and mass transfer coefficient of nordic softwoods as calculated from direct drying experiments. Holzforschung 53(5):534–540

    Article  CAS  Google Scholar 

  • Jenson VG, Jeffreys GV (1994) Mathematical methods in chemical engineering, 2nd edn. Academic Press, London

    Google Scholar 

  • Kang YH, Hart AC (1997) Temperature effect on diffusion coefficient in drying. Wood Fiber Sci 24(4):325–332

    Google Scholar 

  • Langrish TAG, Bohm N (1997) An experimental assessment of driving forces for drying in hardwoods. Wood Sci Technol 31:415–422

    CAS  Google Scholar 

  • Liu JY, Simpson WT, Verril SP (2001) An inverse moisture diffusion algorithm for the determination of diffusion coefficient. Drying Technol 19(8):1555–1568

    Article  Google Scholar 

  • Mounji H, Bouzoun J, Vergnaud JM (1991) Modelling the process of absorption and desorption of water in two dimensions (transverse) in a square wood beam. Wood Sci Technol 26:23–37

    Article  Google Scholar 

  • Miller W (1977) Energy conservation in timber-drying kilns by vapor recompression. For Prod J 27(9):54–58

    Google Scholar 

  • Nijdam JJ, Langrish TAG, Keey RB (2000) A high-temperature drying model for softwood timber. Chem Eng Sci 55:3585–3598

    Article  CAS  Google Scholar 

  • Pang S (1996) Moisture content gradient in a softwood board during drying: simulation from a 2-D model and measurement. Wood Sci Technol 30:165–178

    Article  CAS  Google Scholar 

  • Pang S (2002) Investigation of effects of wood variability and rheological properties on lumber drying: application of mathematical models. Chem Eng J 86:103–110

    Article  CAS  Google Scholar 

  • Pang S, Keey RB, Langrish TA (1995) Modelling the temperature profiles within boards during the high-temperature drying of Pinus radiata timber: the influence of airflow reversals. Int J Heat Mass Transfer 38(2):189–205

    Article  Google Scholar 

  • Ping M, Lianbai G (2003) Water transfer of Masson pine lumber during high temperature drying. Holz Roh-Werkst 61:349–354

    Article  Google Scholar 

  • Plumb OA, Brown CA, Olmstead BA (1984) Experimental measurements of heat and mass transfer during convective drying of southern pine. Wood Sci Technol 18(3):187–204

    Article  Google Scholar 

  • Plumb OA, Spelek GA, Olmstead BA (1985) Heat and mass transfer in wood during drying. Int J Heat Mass Transfer 28(9):1669–1678

    Article  Google Scholar 

  • Pordage LJ, Langrish TAG (1999) Simulation of the effect of air velocity in the drying of hardwood timber. Drying Technol 17(12):237–255

    Article  Google Scholar 

  • SBS (Sociedade Brasileira de Silvicultura) (2006) Fatos e Números do Brasil Florestal, SBS

  • Siau JF (1971) Flow in wood. Syracuse University Press, Syracuse

    Google Scholar 

  • Simpson WT (1993) Determination and use of moisture diffusion coefficient to characterize drying of northern red oak (Quercus rubra). Wood Sci Technol 27:409–420

    Article  CAS  Google Scholar 

  • Simpson WT, Liu JY (1997) An optimization technique to determine red oak surface and internal moisture transfer coefficients during drying. Wood Fiber Sci 29(4):312–318

    CAS  Google Scholar 

  • Sutherland JW, Turner IW, Northway RL (1994) A theoretical and experimental investigation of the convective drying of Australian Pinus-radiata timber. Drying Technol 12(8):1815–1839

    Article  CAS  Google Scholar 

  • Welty JR, Wicks CE, Wilson RE (1984) Fundamentals of momentum, heat, and mass transfer, 3rd edn. Wiley, New York

    Google Scholar 

  • Willhite M (2004) Brazil welcomes international visitors and new investment partners. South Hemisphere For Ind J 7:1–6

    Google Scholar 

  • Yao J (1966) A new approach to the study of drying diffusion coefficient of wood. For Product J Madison 1(6):61–69

    Google Scholar 

  • Youngman MJ, Kulasiri GD, Woodhead IM, Buchan GD (1999) Use of a combined constant rate and diffusion model to simulate kiln-drying of Pinus radiata timber. Silva Fennica 33(4):317–325

    Google Scholar 

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Correspondence to E. F. Zanoelo.

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Rozas, C., Tomaselli, I. & Zanoelo, E.F. Internal mass transfer coefficient during drying of softwood (Pinus elliottii Engelm.) boards. Wood Sci Technol 43, 361–373 (2009). https://doi.org/10.1007/s00226-008-0223-4

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