Register      Login
International Journal of Wildland Fire International Journal of Wildland Fire Society
Journal of the International Association of Wildland Fire
RESEARCH ARTICLE

A convective–radiative propagation model for wildland fires

Jacques Henri Balbi A , François Joseph Chatelon A , Dominique Morvan B , Jean Louis Rossi A , Thierry Marcelli A C and Frédéric Morandini A
+ Author Affiliations
- Author Affiliations

A Université de Corse, Systèmes Physiques pour l’Environnement UMR-CNRS 6134, Campus Grossetti, BP 52 20250 Corte, France.

B Aix Marseille Université, Centre National de la Recherche Scientifique, Centrale Marseille, M2P2, 13451 Marseille, France.

C Corresponding author. Email: marcelli@univ-corse.fr

International Journal of Wildland Fire 29(8) 723-738 https://doi.org/10.1071/WF19103
Submitted: 11 July 2019  Accepted: 4 April 2020   Published: 7 May 2020

Abstract

The ‘Balbi model’ is a simplified steady-state physical propagation model for surface fires that considers radiative heat transfer from the surface area of burning fuel particles as well as from the flame body. In this work, a completely new version of this propagation model for wildand fires is proposed. Even if, in the present work, this model is confined to laboratory experiments, its purpose is to be used at a larger scale in the field under operational conditions. This model was constructed from a radiative propagation model with the addition of a convective heat transfer term resulting from the impingement of packets of hot reacting gases on unburnt fuel elements located at the base of the flame. The flame inside the fuel bed is seen as the ‘fingers of fire’ described in the literature. The proposed model is physics-based, faster than real time and fully predictive, which means that model parameters do not change from one experiment to another. The predicted rate of spread is applied to a large set of laboratory experiments (through homogeneous pine needles and excelsior fuel beds) and is compared with the predictions of both a very simple empirical model (Catchpole) and a detailed physical model (FireStar2D).

Additional keywords: convective flux, fire dynamics, fire spread, heat transfer, model performance, radiative flux, physical model, steady-state model.


References

Albini FA (1982) Response of free-burning fires to non-steady wind. Combustion Science and Technology 29, 225–241.
Response of free-burning fires to non-steady wind.Crossref | GoogleScholarGoogle Scholar |

Albini FA (1985) A model for fire spread in wildland fuels by radiation. Combustion Science and Technology 42, 229–258.
A model for fire spread in wildland fuels by radiation.Crossref | GoogleScholarGoogle Scholar |

Albini FA (1986) Wildland fire spread by radiation – a model including fuel cooling by natural convection. Combustion Science and Technology 45, 101–113.
Wildland fire spread by radiation – a model including fuel cooling by natural convection.Crossref | GoogleScholarGoogle Scholar |

Anderson WR, Catchpole EA, Butler BW (2010) Convective heat transfer in fire spread through fine fuel beds. International Journal of Wildland Fire 19, 284–298.
Convective heat transfer in fire spread through fine fuel beds.Crossref | GoogleScholarGoogle Scholar |

Andrews PL (1986) BEHAVE: Fire behavior prediction and fuel modeling system – BURN subsystem, Part 1. USDA Forest Service, Intermountain Research Station, General Technical Report INT-194. (Ogden, UT, USA)

Balbi J-H, Rossi J-L, Marcelli T, Santoni P-A (2007) A 3D physical real-time model of surface fires across fuel beds. Combustion Science and Technology 179, 2511–2537.
A 3D physical real-time model of surface fires across fuel beds.Crossref | GoogleScholarGoogle Scholar |

Balbi J-H, Morandini F, Silvani X, Filippi JB, Rinieri F (2009) A physical model for wildland fires. Combustion and Flame 156, 2217–2230.
A physical model for wildland fires.Crossref | GoogleScholarGoogle Scholar |

Balbi J-H, Rossi J-L, Marcelli T, Chatelon F-J (2010) Physical modeling of surface fire under non-parallel wind and slope conditions. Combustion Science and Technology 182, 922–939.
Physical modeling of surface fire under non-parallel wind and slope conditions.Crossref | GoogleScholarGoogle Scholar |

Balbi J-H, Chatelon FJ, Rossi JL, Simeoni A, Viegas DX, Rossa C (2014) Modelling of eruptive fire occurrence and behaviour. Journal of Environmental Science and Engineering B 3, 115–132.

Catchpole WR, Catchpole EA, Butler BW, Rothermel RC, Morris GA, Latham DJ (1998) Rate of spread of free-burning fires in woody fuels in a wind tunnel. Combustion Science and Technology 131, 1–37.
Rate of spread of free-burning fires in woody fuels in a wind tunnel.Crossref | GoogleScholarGoogle Scholar |

Catchpole WR, Catchpole EA, Tate AG, Butler B, Rothermel RC (2002) A model for the steady spread of fire through a homogeneous fuel bed. In ‘Proceedings of 4th International Conference on Forest Fire Research, 2002 Wildland Fire Safety Summit, 18–23 November 2002, Luso–Coimbra, Portugal.’ (Ed. DX Viegas) (Millpress: Rotherdam)

Chatelon FJ, Balbi JH, Morvan D, Rossi JL, Marcelli T (2017) A convective model for laboratory fires with well-ordered vertically oriented fuel beds. Fire Safety Journal 90, 54–61.
A convective model for laboratory fires with well-ordered vertically oriented fuel beds.Crossref | GoogleScholarGoogle Scholar |

Chatelon F-J, Balbi JH, Rossi J-L, Marcelli T (2018) Upslope fire and eruptive fire. In ‘Fire contin. conf. – prep. futur. wildl. fire (Fire Behav. Sci. Sess.’, Missoula, MT)

Cheney NP, Gould JS, Catchpole WR (1998) Prediction of fire spread in grasslands. International Journal of Wildland Fire 8, 1–13.
Prediction of fire spread in grasslands.Crossref | GoogleScholarGoogle Scholar |

De Mestre NJ, Catchpole EA, Anderson DH, Rothermel RC (1989) Uniform propagation of a planar fire front without wind. Combustion Science and Technology 65, 231–244.
Uniform propagation of a planar fire front without wind.Crossref | GoogleScholarGoogle Scholar |

Dold JW, Zinoviev A (2009) Fire eruption through intensity and spread rate interaction mediated by flow attachment. Combustion Theory and Modelling 13, 763–793.
Fire eruption through intensity and spread rate interaction mediated by flow attachment.Crossref | GoogleScholarGoogle Scholar |

El Houssami M, Thomas JC, Lamorlette A, Morvan D, Chaos M, Hadden R, Simeoni A (2016) Experimental and numerical studies characterizing the burning dynamics of wildland fuels. Combustion and Flame 168, 113–126.
Experimental and numerical studies characterizing the burning dynamics of wildland fuels.Crossref | GoogleScholarGoogle Scholar |

Finney MA, Cohen JD, Grenfell IC, Yedinak KM (2006) Experiments on fire spread in discontinuous fuelbeds. In ‘Proceedings of the V international conference on. Forest fire research’, November 27–30, Coimbra, Portugal. (Ed. DX Viegas)

Finney MA, Cohen JD, Forthofer JM, McAllister SS, Gollner MJ, Gorham DJ, Saito K, Akafuah NK, Adam BA, English JD (2015) Role of buoyant flame dynamics in wildfire spread. Proceedings of the National Academy of Sciences of the United States of America 112, 9833–9838.
Role of buoyant flame dynamics in wildfire spread.Crossref | GoogleScholarGoogle Scholar | 26183227PubMed |

Frangieh N, Morvan D, Meradji S, Accary G, Bessonov O (2018) Numerical simulation of grassland fires behavior using an implicit physical multiphase model. Fire Safety Journal 102, 37–47.
Numerical simulation of grassland fires behavior using an implicit physical multiphase model.Crossref | GoogleScholarGoogle Scholar |

Grishin AM (1997) ‘Mathematical modeling of forest fires and new methods of fighting them.’ (Ed. FA Albini) (Publishing House of the Tomsk University: Tomsk, Russia).

Grumstrup TP, McAllister SS, Finney MA (2017) Qualitative flow visualization of flame attachment on slopes. In ‘U. S. National Combustion Meeting Organized by the Eastern States Section of the Combustion Institute; April 23–26, 2017; College Park, MD.’ pp. 1–6. (The Combustion Institute: Pittsburgh, PA) Available at https://www.fs.usda.gov/treesearch/pubs/54927 [verified 15 April 2020]

Linn RR, Cunningham P (2005) Numerical simulations of grass fires using a coupled atmosphere–fire model: basic fire behavior and dependence on wind speed. Journal of Geophysical Research, D, Atmospheres 110, D13107
Numerical simulations of grass fires using a coupled atmosphere–fire model: basic fire behavior and dependence on wind speed.Crossref | GoogleScholarGoogle Scholar |

Liu N, Wu J, Chen H, Zhang L, Deng Z, Satoh K, Viegas DX, Raposo JR (2015) Upslope spread of a linear flame front over a pine needle fuel bed: the role of convection cooling. Proceedings of the Combustion Institute 35, 2691–2698.
Upslope spread of a linear flame front over a pine needle fuel bed: the role of convection cooling.Crossref | GoogleScholarGoogle Scholar |

Marsden-Smedley JB, Catchpole WR, Pyrke A (2001) Fire modelling in Tasmanian buttongrass moorlands. IV* Sustaining versus non-sustaining fires. International Journal of Wildland Fire 10, 255–262.
Fire modelling in Tasmanian buttongrass moorlands. IV* Sustaining versus non-sustaining fires.Crossref | GoogleScholarGoogle Scholar |

McArthur AG (1966) Weather and grassland fire behaviour. Commonwealth of Australia, Forestry and Timber Bureau Leaflet 100. (Canberra, ACT, Australia)

McCaffrey B (1979) Purely buoyant diffusion flames: some experimental results. Report NBSIR 79–1910. U. S. Department of Commerce, National Bureau of Standards. Available at https://nvlpubs.nist.gov/nistpubs/Legacy/IR/nbsir79-1910.pdf [verified 15 April 2020].

Mell W, Maranghides A, Mcdermott R, Manzello SL (2009) Numerical simulation and experiments of burning Douglas fir trees. Combustion and Flame 156, 2023–2041.
Numerical simulation and experiments of burning Douglas fir trees.Crossref | GoogleScholarGoogle Scholar |

Morandini F, Silvani X, Honoré D, Boutin G, Susset A, Vernet R (2014) Slope effects on the fluid dynamics of a fire spreading across a fuel bed: PIV measurements and OH chemiluminescence imaging. Experiments in Fluids 55, 1788
Slope effects on the fluid dynamics of a fire spreading across a fuel bed: PIV measurements and OH chemiluminescence imaging.Crossref | GoogleScholarGoogle Scholar |

Morandini F, Silvani X, Dupuy JL, Susset A (2018) Fire spread across a sloping fuel bed: flame dynamics and heat transfers. Combustion and Flame 190, 158–170.
Fire spread across a sloping fuel bed: flame dynamics and heat transfers.Crossref | GoogleScholarGoogle Scholar |

Morvan D (2011) Physical phenomena and length scales governing the behaviour of wildfires: a case for physical modelling. Fire Technology 47, 437–460.
Physical phenomena and length scales governing the behaviour of wildfires: a case for physical modelling.Crossref | GoogleScholarGoogle Scholar |

Morvan D (2013) Numerical study of the effect of fuel moisture content (FMC) upon the propagation of a surface fire on a flat terrain. Fire Safety Journal 58, 121–131.
Numerical study of the effect of fuel moisture content (FMC) upon the propagation of a surface fire on a flat terrain.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 |

Morvan D, Meradji S, Mell W (2013) Interaction between head fire and backfire in grasslands. Fire Safety Journal 58, 195–203.
Interaction between head fire and backfire in grasslands.Crossref | GoogleScholarGoogle Scholar |

Morvan D, Accary G, Meradji S, Frangieh N, Bessonov O (2018) A 3D physical model to study the behavior of vegetation fires at laboratory scale. Fire Safety Journal 101, 39–52.
A 3D physical model to study the behavior of vegetation fires at laboratory scale.Crossref | GoogleScholarGoogle Scholar |

Nelson RM, Adkins CW (1986) Flame characteristics of wind-driven surface fires. Canadian Journal of Forest Research 16, 1293–1300.
Flame characteristics of wind-driven surface fires.Crossref | GoogleScholarGoogle Scholar |

Noble IR, Gill AM, Bary GAV (1980) McArthur’s fire‐danger meters expressed as equations. Australian Journal of Ecology 5, 201–203.
McArthur’s fire‐danger meters expressed as equations.Crossref | GoogleScholarGoogle Scholar |

Pagni PJ, Peterson TG (1973) Flame spread through porous fuels. Symposium (International) on Combustion 14, 1099–1107.
Flame spread through porous fuels.Crossref | GoogleScholarGoogle Scholar |

Perry GLW (1998) Current approaches to modelling the spread of wildland fire: a review. Progress in Physical Geography 22, 222–245.
Current approaches to modelling the spread of wildland fire: a review.Crossref | GoogleScholarGoogle Scholar |

Rossa CG (2017) The effect of fuel moisture content on the spread rate of forest fires in the absence of wind or slope. International Journal of Wildland Fire 26, 24–31.
The effect of fuel moisture content on the spread rate of forest fires in the absence of wind or slope.Crossref | GoogleScholarGoogle Scholar |

Rossa CG, Veloso R, Fernandes PM (2016) A laboratory-based quantification of the effect of live fuel moisture content on fire spread rate. International Journal of Wildland Fire 25, 569–573.
A laboratory-based quantification of the effect of live fuel moisture content on fire spread rate.Crossref | GoogleScholarGoogle Scholar |

Rothermel RC (1972) A mathematical model for predicting fire spread in wildland fuels. USDA Forest Service, Intermountain Forest and Range Experiment Station, Research Paper INT-115. (Ogden, UT, USA)

Rothermel RC, Anderson HE (1966) Fire spread characteristics determined in the laboratory. USDA Forest Service, Intermountain Forest Range Experiment Station, Research Paper INT-30. (Ogden, UT, USA)

Sánchez-Monroy X, Mell W, Torres-Arenas J, Butler BW (2019) Fire spread upslope: numerical simulation of laboratory experiments. Fire Safety Journal 108, 102844
Fire spread upslope: numerical simulation of laboratory experiments.Crossref | GoogleScholarGoogle Scholar |

Sullivan AL (2009a) Wildland surface fire spread modelling, 1990–2007. 1: Physical and quasi-physical models. International Journal of Wildland Fire 18, 349–368.
Wildland surface fire spread modelling, 1990–2007. 1: Physical and quasi-physical models.Crossref | GoogleScholarGoogle Scholar |

Sullivan AL (2009b) Wildland surface fire spread modelling, 1990–2007. 2: Empirical and quasi-empirical models. International Journal of Wildland Fire 18, 369–386.
Wildland surface fire spread modelling, 1990–2007. 2: Empirical and quasi-empirical models.Crossref | GoogleScholarGoogle Scholar |

Viegas DX (2004) A mathematical model for forest fires blowup. Combustion Science and Technology 177, 27–51.
A mathematical model for forest fires blowup.Crossref | GoogleScholarGoogle Scholar |

Viegas DX, Simeoni A (2011) Eruptive behaviour of forest fires. Fire Technology 47, 303–320.
Eruptive behaviour of forest fires.Crossref | GoogleScholarGoogle Scholar |

Weber RO (1990) A model for fire propagation in arrays. Mathematical and Computer Modelling 13, 95–102.
A model for fire propagation in arrays.Crossref | GoogleScholarGoogle Scholar |

Weise DR, Koo E, Zhou X, Mahalingam S, Morandini F, Balbi JH (2016) Fire spread in chaparral – a comparison of laboratory data and model predictions in burning live fuels. International Journal of Wildland Fire 25, 980–994.
Fire spread in chaparral – a comparison of laboratory data and model predictions in burning live fuels.Crossref | GoogleScholarGoogle Scholar |