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RESEARCH ARTICLE

Effect of slope on spread of a linear flame front over a pine needle fuel bed: experiments and modelling

Naian Liu A C , Jinmo Wu A , Haixiang Chen A , Xiaodong Xie A , Linhe Zhang A , Bin Yao A , Jiping Zhu A and Yanlong Shan B
+ Author Affiliations
- Author Affiliations

A State Key Laboratory of Fire Science, University of Science and Technology of China, 230026, Hefei, Anhui, China.

B Forestry College, Beihua University, 132013, Jilin City, Jilin, China.

C Corresponding author. Email: liunai@ustc.edu.cn

International Journal of Wildland Fire 23(8) 1087-1096 https://doi.org/10.1071/WF12189
Submitted: 13 November 2012  Accepted: 19 June 2014   Published: 24 November 2014

Abstract

This paper experimentally evaluates the effect of slope on spread of a linear flame front over a pine needle fuel bed in still air. The slope angle of the fuel bed varied from 0 to 32°. The fuel mass consumption in flaming fire spread, temperature over the fuel bed, velocities of the flow around the flame front and heat fluxes (total and radiant) near the end of the fuel bed were measured. The mass loss rate and rate of fire spread both increased with increasing slope, whereas the fuel consumption efficiency varied in the opposite way. It was shown that a weak reverse inflow and an upslope wind (induced by the flame itself) exist respectively ahead of and behind the flame front, and their significant difference in velocity (causing a pressure difference) plays an essential role in the forward tilting of the flame front. This mechanism promotes burning, especially on higher slopes. Natural convective cooling has a remarkable effect on the fuel pre-heating in the spread of linear flame fronts under slope conditions. A fire spread model for a linear flame front was developed to consider the natural convective cooling and the fuel consumption efficiency. The model agrees well with the experimental data on fire spread rate. Its reliability, especially for higher slopes, was verified by comparison with other models.

Additional keywords: fire spread model, fuel consumption efficiency, natural convective cooling, rate of fire spread.


References

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 |

Baines PG (1990) Physical mechanisms for the propagation of surface fires. Mathematical and Computer Modelling 13, 83–94.
Physical mechanisms for the propagation of surface fires.Crossref | GoogleScholarGoogle Scholar |

Bard S, Pagni PJ (1985) Spatial variation of soot volume fractions in pool fire diffusion flames. In ‘Fire Safety Science – Proceedings of the 1st International Symposium’, 7–11 October, Washington, DC. (Eds CE Grant, PJ Pagni) pp. 361–36910.3801/IAFSS.FSS.1-361

Butler BW, Anderson W, Catchpole EA (2007) Influence of slope on fire spread rate. In ‘The Fire Environment – Innovation, Management, and Policy’, (Eds BW Butler, W Cook) USDA Forest Service, Rocky Mountain Research Station, pp. 75–83. (Fort Collins, CO).

Catchpole T, de Mestre N (1986) Physical models for a spreading line fire. Australian Forestry 49, 102–111.
Physical models for a spreading line fire.Crossref | GoogleScholarGoogle Scholar |

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 | 1:CAS:528:DyaK1cXjs1Ggsbo%3D&md5=7ce49f768006dd493fa8ec6384d7af95CAS |

Countryman CM, McCutcha MH, Ryan BC (1969) Fire weather and fire behavior at 1968 canyon fire. USDA Forest Service, Pacific Southwest Forest and Range Experiment Station Research Paper PSW-55. (Berkeley, CA)

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 |

Dupuy JL (1995) Slope and fuel load effects on fire behaviour: laboratory experiments in pine needles fuel beds. International Journal of Wildland Fire 5, 153–164.
Slope and fuel load effects on fire behaviour: laboratory experiments in pine needles fuel beds.Crossref | GoogleScholarGoogle Scholar |

Dupuy JL, Larini M (1999) Fire spread through a porous forest fuel bed: a radiative and convective model including fire-induced flow effects. International Journal of Wildland Fire 9, 155–172.
Fire spread through a porous forest fuel bed: a radiative and convective model including fire-induced flow effects.Crossref | GoogleScholarGoogle Scholar |

Dupuy JL, Maréchal J (2011) Slope effect on laboratory fire spread: contribution of radiation and convection to fuel bed preheating. International Journal of Wildland Fire 20, 289–307.
Slope effect on laboratory fire spread: contribution of radiation and convection to fuel bed preheating.Crossref | GoogleScholarGoogle Scholar |

Dupuy JL, Maréchal J, Portier D, Valette JC (2011) The effects of slope and fuel bed width on laboratory fire behaviour. International Journal of Wildland Fire 20, 272–288.
The effects of slope and fuel bed width on laboratory fire behaviour.Crossref | GoogleScholarGoogle Scholar |

Finney MA, Cohen JD, Grenfell IC, Yedinak KM (2010) An examination of fire spread thresholds in discontinuous fuel beds. International Journal of Wildland Fire 19, 163–170.
An examination of fire spread thresholds in discontinuous fuel beds.Crossref | GoogleScholarGoogle Scholar |

Finney MA, Cohen JD, McAllister SS, Jolly WM (2013) On the need for a theory of wildland fire spread. International Journal of Wildland Fire 22, 25–36.
On the need for a theory of wildland fire spread.Crossref | GoogleScholarGoogle Scholar |

Forestry Canada Fire Danger Group (1992) Development and structure of the Canadian Forest Fire Behaviour Prediction System. Forestry Canada, Science and Sustainable Development Directorate, Information Report ST-X-3. (Ottawa, Canada)

Hottel HC, Williams GC (1971) Fuel preheating in free-burning fires. Proceedings of the Combustion Institute 13, 963–970.
Fuel preheating in free-burning fires.Crossref | GoogleScholarGoogle Scholar |

Incropera FP, Bergman TL, Lavine AS, DeWitt DP (2011) ‘Fundamentals of Heat and Mass Transfer’, 6th. edn. (Wiley: New York)

Ito A, Kashiwagi T (1988) Characterization of flame spread over PMMA using holographic interferometry sample orientation effects. Combustion and Flame 71, 189–204.
Characterization of flame spread over PMMA using holographic interferometry sample orientation effects.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaL1cXpsFertA%3D%3D&md5=b4d2eaa3ed34cc6a6fec57f90af412d2CAS |

Koo E, Pagni P, Stephens S, Huff J, Woycheese J, Weise DR (2005) A simple physical model for forest fire spread rate. In ‘Fire Safety Science – Proceedings of the 8th International Symposium’, 18–23 September, Beijing, China. (Eds DT Gottuk, BY Lattimer) pp. 851–86210.3801/IAFSS.FSS.8-851

McArthur AG (1966) Weather and grassland fire behaviour. Department of National Development, Forestry and Timber Bureau, Forestry Research Institute, Canberra, ACT, Leaflet No. 100.

Morandini F, Santoni PA, Balbi JH (2001) The contribution of radiant heat transfer to laboratory-scale fire spread under the influence of wind and slope. Fire Safety Journal 36, 519–543.
The contribution of radiant heat transfer to laboratory-scale fire spread under the influence of wind and slope.Crossref | GoogleScholarGoogle Scholar |

Noble IR, Bary GA, Gill AM (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 P (1973) Flame spread through porous fuels. Proceedings of the Combustion Institute 14, 1099–1107.
Flame spread through porous fuels.Crossref | GoogleScholarGoogle Scholar |

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

Silvani X, Morandini F, Dupuy JL (2012) Effects of slope on fire spread observed through video images and multiple-point thermal measurements. Experimental Thermal and Fluid Science 41, 99–111.
Effects of slope on fire spread observed through video images and multiple-point thermal measurements.Crossref | GoogleScholarGoogle Scholar |

Van Wagner CE (1968) Fire behaviour mechanisms in a red pine plantation: field and laboratory evidence. Department of Forestry and Rural Development, Forestry Branch, Departmental Publication No. 1229. (Ottawa, Canada) Available at http://www.cfs.nrcan.gc.ca/bookstore_pdfs/24753.pdf [Verified 25/9/14]

Viegas DX (2002) Fire line rotation as a mechanism for fire spread on a uniform slope. International Journal of Wildland Fire 11, 11–23.
Fire line rotation as a mechanism for fire spread on a uniform slope.Crossref | GoogleScholarGoogle Scholar |

Wang ZF (1983) The measurement method of the wildfire initial spread rate. Mountain Research 1, 42–51.

Yedinak KM, Cohen JD, Forthofer JM, Finney MA (2010) An examination of flame shape related to convection heat transfer in deep-fuel beds. International Journal of Wildland Fire 19, 171–178.
An examination of flame shape related to convection heat transfer in deep-fuel beds.Crossref | GoogleScholarGoogle Scholar |

Zhou XY, Weise D, Mahalingam S (2005) Experimental measurements and numerical modeling of marginal burning in live chaparral fuel beds. Proceedings of the Combustion Institute 30, 2287–2294.
Experimental measurements and numerical modeling of marginal burning in live chaparral fuel beds.Crossref | GoogleScholarGoogle Scholar |