Experimental study of the burning characteristics of dead forest fuels
A. Sahila A , H. Boutchiche A , D. X. Viegas B , L. Reis B , C. Pinto B and N. Zekri A *A Université des Sciences et de la Technologie d’Oran, LEPM BP 1505 El Mnaouer Oran, Algeria.
B Univ Coimbra, ADAI, Department of Mechanical Engineering, Rua Luís Reis Santos, Pólo II, 3030‐788 Coimbra, Portugal.
International Journal of Wildland Fire 32(4) 593-609 https://doi.org/10.1071/WF22088
Submitted: 9 June 2022 Accepted: 4 January 2023 Published: 3 February 2023
© 2023 The Author(s) (or their employer(s)). Published by CSIRO Publishing on behalf of IAWF. This is an open access article distributed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND)
Abstract
Background: A deeper physical understanding of flame behaviour is necessary to make more reliable predictions about forest fire dynamics.
Aims: To study the container size effect on the combustion characteristics of herbaceous fuels.
Methods: Dead samples were put in cylindrical containers of different sizes, and were ignited at the lowest circumference of the basket in the absence of wind.
Key results: In the growth phase, there is an anomalously fast relaxation of the fuel mass accompanied by a super-diffusion of the emitted gas species, whereas in the decay phase, there is a stretched exponential relaxation and the gas species sub-diffuse through the porous fuel. The crossover between these two anomalous processes occurs when the flame is fully developed. Thomas’s correlation between flame height and fuel bed size, and the two-third power law dependence of the normalised flame height on the Froude number, fit the experimental data well. The flame height variation with burning rate exhibits a hysteresis cycle, implying the existence of memory effects on flame formation.
Conclusions: The observed relaxation regimes and hysteresis cycle seem to drive fire dynamics and behaviour.
Implications: Further investigation of the influence of the fuel geometry and porosity on these properties is necessary.
Keywords: air velocity and temperature profiles, anomalous diffusion, anomalous relaxation, burning rate, flame height, forest fires, hysteresis cycle, turbulent diffusion flame.
References
Adapa P, Tabila L, Schoenau G (2009) Compaction characteristics of barley, canola, oat and wheat straw. Biosystemsengineering 104, 335–344.| Compaction characteristics of barley, canola, oat and wheat straw.Crossref | GoogleScholarGoogle Scholar |
Adou JK, Billaud Y, Brou DA, Clerc JP, Consalvi JL, Fuentes A, Kaiss A, Nmira F, Porterie B, Zekri L, Zekri N (2010) Simulating wildfire patterns using a small-world network model. Ecological Modelling 221, 1463–1471.
| Simulating wildfire patterns using a small-world network model.Crossref | GoogleScholarGoogle Scholar |
Almeida RM, Macau EEN (2011) Stochastic cellular automata model for wildland fire spread dynamics. Journal of Physics: Conference Series 285, 012038
| Stochastic cellular automata model for wildland fire spread dynamics.Crossref | GoogleScholarGoogle Scholar |
Alpert RL (2016) Ceiling jet flows. In ‘SFPE Handbook of Fire Protection Engineering’. (Eds MJ Hurley, D Gottuk, JR Hall, K Harada, E Kuligowski, M Puchovsky, J Torero, JM Watts, C Wieczorek) pp. 429–454. (Springer: New York, USA)
Andrews PL (2018) The Rothermel surface fire spread model and associated developments: a comprehensive explanation. General Technical Report RMRSGTR-371. USDA Forest Service, Rocky Mountain Research Station, Fort Collins, CO, USA
Babrauskas V (1983) Estimating large pool fire burning rates. Fire Technology 19, 251–261.
| Estimating large pool fire burning rates.Crossref | GoogleScholarGoogle Scholar |
Babrauskas V (2006) ‘Temperatures in Flames and Fires.’ (Fire Science and Technology: Clarkdale, AZ, USA)
Beer T, Enting IG (1990) Fire spread and percolation modelling. Mathematical and Computer Modelling 13, 77–96.
| Fire spread and percolation modelling.Crossref | GoogleScholarGoogle Scholar |
Bouchaud JP (2008) Anomalous relaxation in complex systems: from stretched to compressed exponentials. In ‘Anomalous Transport: Foundations and Applications’. (Eds HR Klages, G Radons, IM Sokolov) (Wiley-VCH: Berlin, Germany)
| Crossref |
Bouchaud JP, Georges A (1990) Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications. Physics Reports 195, 127–293.
| Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications.Crossref | GoogleScholarGoogle Scholar |
Bourgoin M (2015) Turbulent pair dispersion as a ballistic cascade phenomenology. Journal of Fluid Mechanics 772, 678–704.
| Turbulent pair dispersion as a ballistic cascade phenomenology.Crossref | GoogleScholarGoogle Scholar |
Bubbico R, Dusserre G, Mazzarotta B (2016) Calculation of the flame size from burning liquid pools. Chemical Engineering Transactions 53, 67–72.
| Calculation of the flame size from burning liquid pools.Crossref | GoogleScholarGoogle Scholar |
Chatris JM, Quintela J, Folch J, Planas E, Arnaldos J, Casal J (2001) Experimental study of burning rate in hydrocarbon pool fires. Combustion and Flame 126, 1373–1383.
| Experimental study of burning rate in hydrocarbon pool fires.Crossref | GoogleScholarGoogle Scholar |
Cox G, Chitty R (1980) A study of the deterministic properties of unbounded fire plumes. Combustion and Flame 39, 191–209.
| A study of the deterministic properties of unbounded fire plumes.Crossref | GoogleScholarGoogle Scholar |
Darwish A, Abubaker AM, Salaimeh A, Akafuah NK, Finney M, Forthofer JM, Saito K (2021) Ignition and burning mechanisms of live spruce needles. Fuel 304, 121371
| Ignition and burning mechanisms of live spruce needles.Crossref | GoogleScholarGoogle Scholar |
David C (1975) Thermal degradation of polymers. In ‘Comprehensive Chemical Kinetics’. (Eds CH Bamford, FH Tipper) pp. 1–173. (Elsevier: Amsterdam, Netherlands)
| Crossref |
Drysdale D (Ed.) (2011) ‘An Introduction to Fire Dynamics.’ (A John Wiley & Sons: New York, USA)
Dupuy JL, Maréchal J, Morvan D (2003) Fires from a cylindrical forest fuel burner: combustion dynamics and flame properties. Combustion and Flame 135, 65–76.
| Fires from a cylindrical forest fuel burner: combustion dynamics and flame properties.Crossref | GoogleScholarGoogle Scholar |
Emori RI, Saito K (1983) A study of scaling laws in pool and crib fires. Combustion Science and Technology 31, 217–231.
| A study of scaling laws in pool and crib fires.Crossref | GoogleScholarGoogle Scholar |
Finney MA, McAllister SS (2011) A review of fire interactions and mass fires. Journal of Combustion 2011, 548328
| A review of fire interactions and mass fires.Crossref | GoogleScholarGoogle Scholar |
Grishin AM (1997) ‘Mathematical Modeling of Forest Fires and New Methods of Fighting Them.’ (Publishing House of Tomsk State University: Tomsk, Russia)
Hamamousse N, Kaiss A, Giroud F, Bozabalian N, Clerc J-P, Zekri N (2021) Small World Network Model validation. Case study of Suartone Historical Fire in Corsica. Combustion Science and Technology 194, 3374–3389.
| Small World Network Model validation. Case study of Suartone Historical Fire in Corsica.Crossref | GoogleScholarGoogle Scholar |
Heskestad G (1972) ‘Similarity Relations for the Initial Convective Flow Generated by Fire’. ASME Paper No. 72-WA/HT-17. (American Society of Mechanical Engineers: New York, USA)
Heskestad G (2016) Fire Plumes, Flame Height and Air Entrainment. In ‘SFPE Handbook of Fire Protection Engineering’. (Eds MJ Hurley, D Gottuk, JR Hall, K Harada, E Kuligowski, M Puchovsky, J Torero, JM Watts, C Wieczorek) pp. 396–428. (Springer: New York, USA)
| Crossref |
Holborn PG, Nolan PF, Golt J (2004) An analysis of fire sizes, fire growth rates and times between events using data from fire investigations. Fire Safety Journal 39, 481–524.
| An analysis of fire sizes, fire growth rates and times between events using data from fire investigations.Crossref | GoogleScholarGoogle Scholar |
Klassen ME, Gore JP (1994) Structure and radiation properties of pool fires. Report GCR, 94-651. National Institute of Standards and Technology, Gaithersburg, MD, USA
Kohlrausch R (1854) Theorie des elektrischen Rückstandes in der Leidener Flasche. Annalen der Physik 167, 179–214.
| Theorie des elektrischen Rückstandes in der Leidener Flasche.Crossref | GoogleScholarGoogle Scholar | [In German]
Koseki H (1989) Combustion properties of large liquid pool fires. Fire Technology 25, 241–255.
| Combustion properties of large liquid pool fires.Crossref | GoogleScholarGoogle Scholar |
Koseki H, Yumoto T (1988) Air entrainment and thermal radiation from heptane pool fires. Fire Technology 24, 33–47.
| Air entrainment and thermal radiation from heptane pool fires.Crossref | GoogleScholarGoogle Scholar |
Kremer F, Schonhals A (Eds) (2003) ‘Broadband Dielectric Spectroscopy.’ (Springer-Verlag: Berlin, Germany)
| Crossref |
Kung HC, Stavrianidis P (1982) Buoyant plumes of large-scale pool fires. Symposium (International) on Combustion 19, 905–912.
| Buoyant plumes of large-scale pool fires.Crossref | GoogleScholarGoogle Scholar |
Lei J, Liu N, Zhang L, Chen H, Shu L, Chen P, Deng Z, Zhu J, Satoh K, De Ris JL (2011) Experimental research on combustion dynamics of medium-scale fire whirl. Proceedings of the Combustion Institute 33, 2407–2415.
| Experimental research on combustion dynamics of medium-scale fire whirl.Crossref | GoogleScholarGoogle Scholar |
Li B, Wang J (2003) Anomalous heat conduction and anomalous diffusion in one-dimensional systems. Physical Review Letters 91, 044301
| Anomalous heat conduction and anomalous diffusion in one-dimensional systems.Crossref | GoogleScholarGoogle Scholar |
Manzello SL (2020) ‘Encyclopedia of Wildfires and Wildland–Urban interface (WUI) Fires.’ (Springer Nature: Cham, Switzerland)
| Crossref |
Martin RE, Pendleton DW, Burgess W (1976) Effect of fire whirlwind formation on solid fuel burning rates. Fire Technology 12, 33–40.
| Effect of fire whirlwind formation on solid fuel burning rates.Crossref | GoogleScholarGoogle Scholar |
McCaffrey BJ (1979) Purely buoyant diffusion flames: some experimental results. National Bureau of Standards Interagency/Internal Report (NBSIR) 79-1910, 20234. Center for Fire Research, National Engineering Laboratory, National Bureau of Standards, Washington, DC, USA
Metzler R, Klafter J (2000) The random walk’s guide to anomalous diffusion: a fractional dynamics approach. Physics Reports 339, 1–77.
| The random walk’s guide to anomalous diffusion: a fractional dynamics approach.Crossref | GoogleScholarGoogle Scholar |
Morgado R, Oliveira FA, Batrouni GG, Hansen A (2002) Relation between anomalous and normal diffusion in systems with memory. Physical Review Letters 89, 100601
| Relation between anomalous and normal diffusion in systems with memory.Crossref | GoogleScholarGoogle Scholar |
Morvan D, Méradji S, Accary G (2009) Physical modelling of fire spread in grasslands. Fire Safety Journal 44, 50–61.
| Physical modelling of fire spread in grasslands.Crossref | GoogleScholarGoogle Scholar |
Nelson HE (1987) An engineering analysis of the early stages of fire development – the fire at the Du Pont Plaza hotel and casino – December 31, 1986. National Bureau of Standards Interagency/Internal Report (NBSIR) 87-3560. (US National Institute of Standards and Technology: Gaithersburg, MD, USA)
| Crossref |
Oliveira FA, Ferreira RMS, Lapas LC, Vainstein MH (2019) Anomalous diffusion: a basic mechanism for the evolution of inhomogeneous systems. Frontiers in Physics 7, 18
| Anomalous diffusion: a basic mechanism for the evolution of inhomogeneous systems.Crossref | GoogleScholarGoogle Scholar |
Pausas JG, Llovet J, Rodrigo A, Vallejo R (2008) Are wildfires a disaster in the Mediterranean basin? – A review. International Journal of Wildland Fire 17, 713–723.
| Are wildfires a disaster in the Mediterranean basin? – A review.Crossref | GoogleScholarGoogle Scholar |
Pinto C, Viegas D, Almeida M, Raposo J (2017) Fire whirls in forest fires: an experimental analysis. Fire Safety Journal 87, 37–48.
| Fire whirls in forest fires: an experimental analysis.Crossref | GoogleScholarGoogle Scholar |
Quintiere JG (2020) Scaling realistic fire scenarios. Progress in Scale Modeling, an International Journal 1, 1
| Scaling realistic fire scenarios.Crossref | GoogleScholarGoogle Scholar |
Quintiere JG, Grove BS (1998) A unified analysis for fire plumes. Symposium (International) on Combustion 27, 2757–2766.
| A unified analysis for fire plumes.Crossref | GoogleScholarGoogle Scholar |
Richardson LF (1926) Atmospheric diffusion shown on a distance-neighbour graph. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 110, 709–737.
| Atmospheric diffusion shown on a distance-neighbour graph.Crossref | GoogleScholarGoogle Scholar |
Sabi FZ, Terrah SM, Mosbah O, Dilem A, Hamamousse N, Sahila A, Harrouz O, Boutchiche H, Chaib F, Zekri N, Kaiss A, Clerc JP, Giroud F, Viegas DX (2021) Ignition/non-ignition phase transition: a new critical heat flux estimation method. Fire Safety Journal 119, 103257
| Ignition/non-ignition phase transition: a new critical heat flux estimation method.Crossref | GoogleScholarGoogle Scholar |
Sahila A, Zekri N, Clerc JP, Kaiss A, Sahraoui S (2021) Fractal analysis of wildfire pattern dynamics using a Small World Network model. Physica A: Statistical Mechanics and its Applications 583, 126300
| Fractal analysis of wildfire pattern dynamics using a Small World Network model.Crossref | GoogleScholarGoogle Scholar |
Stanislavski A, Weron K (2010) Fractional calculus tools applied to study the nonexponential relaxation in dielectrics. In ‘Handbook of Fractional Calculus with Applications. Vol. 4: Applications in Physics, Part A’ (Ed. E Tarasov) pp. 53–70. (De Gruyter: Berlin, Germany)
Steward FR (1970) Prediction of the height of turbulent diffusion buoyant flames. Combustion Science and Technology 2, 203–212.
| Prediction of the height of turbulent diffusion buoyant flames.Crossref | GoogleScholarGoogle Scholar |
Sun L, Zhou X, Mahalingam S, Weise DR (2006) Comparison of burning characteristics of live and dead chaparral fuels. Combustion and Flame 144, 349–359.
| Comparison of burning characteristics of live and dead chaparral fuels.Crossref | GoogleScholarGoogle Scholar |
Tarifa CS (1967) ‘Open Fires; Transport and Combustion of Firebrands.’ (Instituto Nacional de Tecnica Aerospacial Esteban Teradas: Torrejón de Ardoz, Spain)
Thomas PH (1963) The size of flames from natural fires. Symposium (International) on Combustion 9, 844–859.
| The size of flames from natural fires.Crossref | GoogleScholarGoogle Scholar |
Vermesi I, Roenner N, Pironi P, Hadden RM, Rein G (2016) Pyrolysis and ignition of a polymer by transient irradiation. Combustion and Flame 163, 31–41.
| Pyrolysis and ignition of a polymer by transient irradiation.Crossref | GoogleScholarGoogle Scholar |
Viegas DX, Pinto C, Raposo J (2018) Burning Rate. In ‘Encyclopedia of Wildfires and Wildland–Urban Interface (WUI) Fires’. (Ed. S Manzello) (Springer Nature: Cham, Switzerland)
| Crossref |
Vilén T, Fernandes PM (2011) Forest fires in Mediterranean countries: CO2 emissions and mitigation possibilities through prescribed burning. Environmental Management 48, 558–567.
| Forest fires in Mediterranean countries: CO2 emissions and mitigation possibilities through prescribed burning.Crossref | GoogleScholarGoogle Scholar |
Weber RO (1991) Modelling fire spread through fuel beds. Progress in Energy and Combustion Science 17, 67–82.
| Modelling fire spread through fuel beds.Crossref | GoogleScholarGoogle Scholar |
Weise DR, Fletcher T, Smith S, Mahalingam S, Zhou X, Sun L (2005) Correlation of mass loss rate and flame height for live fuels. In ‘Proceedings of the Sixth Symposium, Fire and Forest Meteorology, 27 October 2005, Canmore, AB, Canada’. Available at https://ams.confex.com/ams/6FireJoint/webprogram/Paper97600.html
Williams FA (1969) Scaling mass fires. In ‘Research Abstracts and Reviews. Vol. 11’. (Eds National Academy of Sciences and National Research Council) (The National Academies Press: Washington, DC, USA)
| Crossref |
Williams G, Watts DC (1970) Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function. Transactions of the Faraday Society 66, 80–85.
| Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function.Crossref | GoogleScholarGoogle Scholar |
Zabetakis MG, Burgess DS (1961) Research on the hazards associated with the production and handling of liquid hydrogen. Report BM-RI-5707. Bureau of Mines, Washington, DC, USA
| Crossref |
Zekri N, Porterie B, Clerc JP, Loraud JC (2005) Propagation in a two-dimensional weighted local small-world network. Physical Review E 71, 046121
| Propagation in a two-dimensional weighted local small-world network.Crossref | GoogleScholarGoogle Scholar |
Zukoski EE (1975) Convective flows associated with room fires. Semi Annual Progress Report. National Science Foundation Grant No. GI 31892 X1. Institute of Technology, Pasadena, CA, USA
Zukoski EE (1986) Fluid dynamic aspects of room fires. Fire Safety Science 1, 1–30.
| Fluid dynamic aspects of room fires.Crossref | GoogleScholarGoogle Scholar |
Zukoski EE, Kubota T, Cetegen B (1981) Entrainment in fire plumes. Fire Safety Journal 3, 107–121.
| Entrainment in fire plumes.Crossref | GoogleScholarGoogle Scholar |