Abstract
A mathematical model of thermal decomposition together with the flammability limit is proposed to describe the pyrolysis and spontaneous ignition of wood slab subjected to the radiation from a truncated-cone heater. The prominent physical and chemical phenomena were considered in the model, involving heat transfer in a solid, heat consumed by thermal decomposition reactions, the evaporation of moisture, re-radiation from pore surfaces inside a solid and so on. The numerical solution allows the prediction of in-depth temperature profiles, evolution of volatiles, variation of thermal conductivity, apparent mass loss (solid conversion) and ignition time. The different densities for wood species and effect of moisture content and grain orientation on thermal conductivity are also considered in the model, producing a good prediction of surface temperatures. This gives birth to the reasonable prediction on ignition time of wood by employing fixed surface temperature (400 °C) as ignition criterion. However, the analysis of constituent fractions for the species associated with the multi-components kinetic scheme should be included in the mathematical model to give a more precise prediction on the apparent mass loss of solid.
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References
B. Moghtaderi, Fire and Materials, 30, 1 (2006).
B. Moghtaderi, V. Novozhilov, D. F. Fletcher and J.H. Kent, J. Appl. Fire Sci., 6, 91 (1996/97).
M. L. Janssens, Fire and Materials, 28, 199 (2004).
C. Di Blasi, Progress in Energy and Combustion Sciences, 34, 47 (2008).
V. Babrauskas, Ignition handbook: Published by Fire Science Publisher (2003).
D. K. Shen, M. X. Fang, Z.Y. Luo and K. F. Cen, Fire Safety J., 42, 210 (2007).
D. K. Shen, S. Gu, K. H. Luo and A.V. Bridgwater, Energy Fuels, 23, 1081 (2009).
D. K. Shen, S. Gu, KH. Luo, A.V. Bridgwater and M. X. Fang, Fuel, 88, 1024 (2009).
A. M. Kanury and P. L. Blackshear, Combustion Sci. Technol., 2, 5 (1970).
K. O. Davidsson and J. B. C. Pettersson, Fuel, 81, 263 (2002).
R. Bilbao, J. F. Mastral, J. A. Lana, J. Ceamanos, M. E. Aldea and M. Betran, J. Anal. Appl. Pyrolysis, 62, 63 (2002).
R. Xiao, D. K. Shen, H.Y. Zhang and M. X. Fang, The thermal decomposition and spontaneous ignition of wood slabs under a truncated-cone heater: Experimental observation in The 34 th International Symposium on Combustion, Warsaw, Poland (2012).
S. S. Alves and J. L. Figueiredo, Chem. Eng. Sci., 44, 2861 (1989).
K. M. Bryden, K. M. Ragland and C. J. Rutland, Biomass and Bioenergy, 22, 41 (2002).
Wood Handbook: US Forest Products Laboratory, USDA, Agric. Handbook (1999).
B. Fredlund, A model for heat and mass transfer in timber structures during fire- A theoretical, numerical and experimental study, Institute of science and technology, Department of fire safety engineering, Lund University, Sweden (1988).
K.M. Bryden and M. J. Hagge, Fuel, 82, 1633 (2003).
K. M. Bryden, Computational modeling of wood combustion, University of Wisconsin-Madison (1998).
G. L. Borman and K.W. Ragland, Combustion engineering, New York, McGraw-Hill (1998).
E. Mikkola and I. S. Wichman, Fire and Materials, 14, 87 (1989).
H. R. Wesson, J.R. Welker and C.M. Sliepcevich, Combust. Fame, 16, 303 (1971).
F. Thurner and U. Mann, Industrial and Engineering Chemistry Process Design and Development, 20, 482 (1981).
C. Di Blasi, Combustion Sci. Technol., 90, 1121 (1993).
W. R. Chan, M. Kelbon and B.B. Krieger, Fuel, 64, 1505 (1985).
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Liu, Q., Shen, D., Xiao, R. et al. A mathematical description of thermal decomposition and spontaneous ignition of wood slab under a truncated-cone heater. Korean J. Chem. Eng. 30, 613–619 (2013). https://doi.org/10.1007/s11814-012-0181-2
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DOI: https://doi.org/10.1007/s11814-012-0181-2