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An Empirical Correlation for Burning of Spruce Wood in Cone Calorimeter for Different Heat Fluxes

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Abstract

This article proposes an empirical expression to describe the pyrolysis and charring of spruce wood in bench-scale experiments for a wide range of incident heat fluxes. Spruce wood samples were exposed to a cone radiant heater oriented vertically with varying intensities, ranging from \(\dot{q}_{\text {cone}}^{''}\) = 22 kW m\(^{-2}\) to 93.5 kW m\(^{-2}\) over 53 test samples. The mass loss rate (MLR), the position of the char front and a preliminary additional heat source from smoldering or flaming combustion were experimentally determined. The experimental data were processed to express the burning rate as a function of heat flux and char front position. A grou** of the experimental curves was obtained, allowing to predict the MLR outcome over time regardless of the incident heat flux. A linear regression at the quasi-steady state regime allowed the determination of the fitting coefficients of the correlation, which ultimately correspond to the mass of volatiles produced per unit of energy input into the material. A comparison was made with theoretical analysis of the pyrolysis of charring materials from the literature, and the discrepancies with the proposed approach and its limitations were finally discussed. The main advantage of this approach is that it provides a generalized expression, requiring minimal input of material properties, which predicts the MLR change over time for any heat flux within engineering accuracy.

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References

  1. Wiesner F, Bisby L (2019) The structural capacity of laminated timber compression elements in fire: a meta-analysis. Fire Saf J 107:114–125

    Article  Google Scholar 

  2. Zachar M, Mitterová I, Xu Q, Majlingová A, Cong J, Galla Š et al (2012) Determination of fire and burning properties of spruce wood. Drvna industrija 63(3):217–223

    Article  Google Scholar 

  3. Terrei L, Acem Z, Georges V, Lardet P, Boulet P, Parent G (2019) Experimental tools applied to ignition study of spruce wood under cone calorimeter. Fire Saf J 108:102845

    Article  Google Scholar 

  4. White R, Dietenberger M (1999) Fire safety. Wood handbook—wood as an engineering material. General technical report FPL-GTR-113. US Department of Agriculture, Forest Service, Forest Products Laboratory, Madison

  5. Maciulaitis R, Lipinskas D, Lukosius K (2006) Singularity and importance of determination of wood charring rate in fire investigation. Mater Sci 12(1):42–47

    Google Scholar 

  6. Njankouo JM, Dotreppe J-C, Franssen J-M (2004) Experimental study of the charring rate of tropical hardwoods. Fire Mater 28(1):15–24

    Article  Google Scholar 

  7. Lizhong Y, Zaifu G, Yupeng Z, Weicheng F (2007) The influence of different external heating ways on pyrolysis and spontaneous ignition of some woods. J Anal Appl Pyrol 78(1):40–45

    Article  Google Scholar 

  8. Di Blasi C (1994) Numerical simulation of cellulose pyrolysis. Biomass Bioenergy 7(1–6):87–98

    Article  Google Scholar 

  9. Sinha S, Jhalani A, Ravi M, Ray A (2000) Modelling of pyrolysis in wood: a review. SESI J 10(1):41–62

    Google Scholar 

  10. Janssens ML (2004) Modeling of the thermal degradation of structural wood members exposed to fire. Fire Mater 28(2–4):199–207

    Article  Google Scholar 

  11. Bamford C, Crank J, Malan D (1946) The combustion of wood. Part I. In: Mathematical proceedings of the Cambridge Philosophical Society, vol 42. Cambridge University Press, pp 166–182

  12. Kanury AM (1971) Burning of wood—a pure transient conduction model. J Fire Flammabl 2(3):191–205

    Google Scholar 

  13. Spearpoint M, Quintiere J (2000) Predicting the burning of wood using an integral model. Combust Flame 123(3):308–325

    Article  Google Scholar 

  14. Lautenberger C, Fernandez-Pello C (2009) A model for the oxidative pyrolysis of wood. Combust Flame 156(8):1503–1513

    Article  Google Scholar 

  15. Hostikka S, Matala A (2017) Pyrolysis model for predicting the heat release rate of birch wood. Combust Sci Technol 189(8):1373–1393

    Article  Google Scholar 

  16. Richter F, Rein G (2020) A multiscale model of wood pyrolysis in fire to study the roles of chemistry and heat transfer at the mesoscale. Combust Flame 216:316–325

    Article  Google Scholar 

  17. Kim M, Dembsey N (2015) Parameter estimation for comprehensive pyrolysis modeling: guidance and critical observations. Fire Technol 51:443–477

    Article  Google Scholar 

  18. Tran HC, White RH (1992) Burning rate of solid wood measured in a heat release rate calorimeter. Fire Mater 16(4):197–206

    Article  Google Scholar 

  19. Girardin B, Duny M, Dréan V, Auguin, G (2019) Assessment of an engineering method for the contribution of wood: Application to ISO 9705 with different linings coverage. Interflam 2019

  20. Terrei L (2020) Comportement au feu du matériau bois: auto-inflammation, dégradation et auto-extinction. PhD Thesis, Université de Lorraine

  21. Terrei L, Acem Z, Marchetti V, Lardet P, Boulet P, Parent G (2021) In-depth wood temperature measurement using embedded thin wire thermocouples in cone calorimeter tests. Int J Therm Sci 162:106686

    Article  Google Scholar 

  22. ISO 5660-1:2015: reaction-to-fire tests—heat release, smoke production and mass loss rate—part 1: heat release rate (cone calorimeter method) and smoke production rate (dynamic measurement) (2015). p 55. https://www.iso.org/standard/57957.html

  23. Friquin KL (2011) Material properties and external factors influencing the charring rate of solid wood and glue-laminated timber. Fire Mater 35(5):303–327

    Article  Google Scholar 

  24. Lizhong Y, Yupeng Z, Yafei W, Zaifu G (2008) Predicting charring rate of woods exposed to time-increasing and constant heat fluxes. J Anal Appl Pyrol 81(1):1–6

    Article  Google Scholar 

  25. Boonmee N, Quintiere J (2002) Glowing and flaming autoignition of wood. Proc Combust Inst 29(1):289–296

    Article  Google Scholar 

  26. Morrisset D, Hadden RM, Bartlett AI, Law A, Emberley R (2021) Time dependent contribution of char oxidation and flame heat feedback on the mass loss rate of timber. Fire Saf J 120:103058

    Article  Google Scholar 

  27. Babrauskas V (2005) Charring rate of wood as a tool for fire investigations. Fire Saf J 40(6):528–554

    Article  Google Scholar 

  28. Quintiere JG (1992) A semi-quantitative model for the burning rate of solid materials. National Institute of Standards and Technology (BFRL), Gaithersburg

    Book  Google Scholar 

  29. Lyon RE (2000) Solid-state thermochemistry of flaming combustion. Marcel Dekker Inc, New York

    Google Scholar 

  30. Gray MR, Corcoran WH, Gavalas GR (1985) Pyrolysis of a wood-derived material. Effects of moisture and ash content. Ind Eng Chem Process Des Dev 24(3):646–651

    Article  Google Scholar 

  31. Bartlett A, Hadden R, Bisby L, Law A (2015) Analysis of cross-laminated timber charring rates upon exposure to non-standard heating conditions. Fire Mater. pp 667–681

  32. Martinka J, Rantuch P, Liner M (2018) Calculation of charring rate and char depth of spruce and pine wood from mass loss. J Therm Anal Calorim 132:1105–1113

    Article  Google Scholar 

  33. McGrattan K, McDermott R, Vanella M, Mueller E (2023) Fire dynamics simulator user’s guide. NIST Special Publication 1019 sixth edition

  34. McGrattan K, Hostikka S, Floyd J, McDermott R, Vanella M, Mueller E (2023) Fire dynamics simulator technical reference guide volume 1: mathematical model. NIST Special Publication 1018-1 sixth edition

  35. Harada T (2001) Time to ignition, heat release rate and fire endurance time of wood in cone calorimeter test. Fire Mater 25(4):161–167

    Article  Google Scholar 

  36. Li K, Hostikka S, Dai P, Li Y, Zhang H, Ji J (2017) Charring shrinkage and cracking of fir during pyrolysis in an inert atmosphere and at different ambient pressures. Proc Combust Inst 36(2):3185–3194

    Article  Google Scholar 

  37. Sanned E, Mensah RA, Försth M, Das O (2022) The curious case of the second/end peak in the heat release rate of wood: a cone calorimeter investigation. Fire and Materials 47(4):498-513. https://doi.org/10.1002/fam.3122

    Article  Google Scholar 

  38. Hodges JL, Lattimer BY, Kapahi A, Floyd JE (2023) An engineering model for the pyrolysis of materials. Fire Saf J 141:103980

    Article  Google Scholar 

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Correspondence to Alain Coimbra.

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See Figure 14.

Figure 14
figure 14

Unfiltered individual MLR data for each full experimental test

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Lardet, P., Coimbra, A., Terrei, L. et al. An Empirical Correlation for Burning of Spruce Wood in Cone Calorimeter for Different Heat Fluxes. Fire Technol (2024). https://doi.org/10.1007/s10694-024-01603-y

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