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

Angular variation of fire rate of spread

Jorge C. S. André A D , João C. Gonçalves A C , Gilberto C. Vaz B and Domingos X. Viegas A
+ Author Affiliations
- Author Affiliations

A Department of Mechanical Engineering, Faculty of Sciences and Technology, University of Coimbra, Pólo II, Rua Luís Reis Santos, Pinhal de Marrocos, PT-3030-788 Coimbra, Portugal.

B Department of Mechanical Engineering, Polytechnic Institute of Coimbra (ISEC), Rua Pedro Nunes, Quinta da Nora, PT-3030-199 Coimbra, Portugal.

C Present address: Department of Food Industries, Polytechnic Institute of Viseu (ESAV), Quinta da Alagoa – Estrada de Nelas, Ranhados, PT-3500-606 Viseu, Portugal.

D Corresponding author. Email: jorge.andre@dem.uc.pt

International Journal of Wildland Fire 22(7) 970-979 https://doi.org/10.1071/WF12028
Submitted: 20 February 2012  Accepted: 1 February 2013   Published: 13 June 2013

Abstract

Laboratory fire tests were performed in still air, for variable inclinations (10°, 15°) and fuel bed dimensions (1.28 × 2.50–3.0 × 4.6 m2), with homogeneous fuel beds of pine needles and pine wood excelsior. The fire ignition was made at a point, along a closed line with no fuel inside and along a straight edge of the fuel bed. The tests were recorded with an infrared camera and various techniques were developed to implement direct and indirect empirical methods of construction of the ‘orientation function’ of the fire in the given fuel bed and ambient conditions, showing how the rate of spread of a steady straight fire front depends on its orientation on the terrain. The direct method uses a set of straight fire fronts with various orientations whereas the indirect method uses essentially a point ignited fire front. Contrary to what is assumed in BehavePlus model, the orientation function is observed to depend significantly on the properties of the fuel bed. In all tests with closed fire fronts, the full steadiness required by the indirect method was not achieved (namely, at the head of the front), although, for slope angle of 10°, the corresponding errors induced on the orientation function were small.

Additional keywords: BehavePlus, closed fire fronts, forest fires, local quasi-equilibrium model, porous fuel beds, slope, still air, straight fire fronts.


References

Anderson HE (1983) Predicting wind-driven wildland fire size and shape. USDA Forest Service, Intermountain Forest and Range Experiment Station, Research Paper INT-305. (Ogden, UT)

Anderson D, Catchpole E, De Mestre N, Parkes T (1982) Modelling the spread of grass fires. Journal of the Australian Mathematical Society 23, 451–466.
Modelling the spread of grass fires.Crossref | GoogleScholarGoogle Scholar |

André JCS, Urbano JM, Viegas DX (2006) Forest fire spread models: the local quasi-equilibrium approach. Combustion Science and Technology 178, 2115–2143.
Forest fire spread models: the local quasi-equilibrium approach.Crossref | GoogleScholarGoogle Scholar |

Andrews PL (1986) BEHAVE: fire behaviour prediction and fuel modelling system – BURN subsystem, Part 1. USDA Forest Service, Intermountain Forest and Range Experiment Station General Technical Report INT-194. (Ogden, UT)

Andrews PL, Bevins CD, Seli RC (2005) BehavePlus fire modelling system (Version 3.0) – user’s guide. USDA Forest Service, Rocky Mountain Research Station, General Technical Report RMRS-GTR-106WWW Revised. (Ogden, UT)

Bilgili E, Methven IR (1990) The simple ellipse: a basic growth model. In ‘Proceedings of the International Conference on Forest Fire Research’, 19–22 November 1990, Coimbra, Portugal. (Ed. DX Viegas) Communication B.18. (ADAI/University of Coimbra: Coimbra, Portugal)

Catchpole EA, De Mestre NJ, Gill AM (1982) Intensity of fire at its perimeter. Australian Forestry Research 12, 47–54.

Costa AM, Gonçalves JC, André JCS, Lopes AMG, Viegas DX (1998) A technique to correct the perspective distortion of images of 2-D objects. Associação para o Desenvolvimento da Aerodinâmica Industrial, Report of Project INFLAME WP 3-T 3-A 1. (Coimbra, Portugal)

Eftichidis G, Margaritis E, Sfiris A, Varela V (1998) Fire management information systems: FMIS. In ‘Proceedings of the III International Conference on Forest Fire Research and 14th Conference on Fire and Forest Meteorology’, 16–20 November 1998, Luso, Portugal. (Ed. DX Viegas) Vol. 2, pp. 2641–2642. (Associação para o Desenvolvimento da Aerodinâmica Industrial, University of Coimbra, Luso, Portugal)

Finney MA (1998) FARSITE: Fire Area Simulator – model development and evaluation. USDA Forest Service, Rocky Mountain Research Station, Research Paper RMRS-RP-4. (Ogden, UT)

Fons WL (1940) Forest fuels. USDA Forest Service, Pacific Southwest Forest and Range Experiment Station, Forest Fire Laboratory, Progress Report number 6. (Riverside, CA)

Gonçalves JC (2000) Experiências de propagação de frentes de fogo em leitos porosos homogéneos e inclinados – Validação de duas conjecturas de uma teoria. MSc thesis, Department of Mechanical Engineering, University of Coimbra, Portugal.

Kourtz PH, O’Regan WG (1971) A model for a small forest fire to simulate burned and burning areas for use in a detection model. Forest Science 17, 163–169.

Lopes AMG, Cruz MG, Viegas DX (1998) FIRESTATION – an integrated system for the simulation of wind flow and fire spread over complex topography. In ‘Proceedings of the III International Conference on Forest Fire Research and 14th Conference on Fire and Forest Meteorology’, 16–20 November 1998, Luso, Portugal. (Ed. DX Viegas) Vol. 1, pp. 741–754. (Associação para o Desenvolvimento da Aerodinâmica Industrial, University of Coimbra: Luso, Portugal)

Margerit J, Séro-Guillaume O (1998) Richards’ model, Hamilton-Jacobi equation and temperature field equations of forest fires. In ‘Proceedings of the III International Conference on Forest Fire Research and 14th Conference on Fire and Forest Meteorology’. (Ed. DX Viegas) Vol. 1, pp. 281–294. (Associação para o Desenvolvimento da Aerodinâmica Industrial, University of Coimbra, Luso, Portugal)

McAlpine RS, Wakimoto RH (1991) The acceleration of fire from point source to equilibrium spread. Forest Science 37, 1314–1337.

Richards GD (1990) An elliptical growth model of forest fire fronts and its numerical solution. International Journal for Numerical Methods in Engineering 30, 1163–1179.
An elliptical growth model of forest fire fronts and its numerical solution.Crossref | GoogleScholarGoogle Scholar |

Richards GD (1995) A general mathematical framework for modelling two-dimensional wildland fire spread. International Journal of Wildland Fire 5, 63–72.
A general mathematical framework for modelling two-dimensional wildland fire spread.Crossref | GoogleScholarGoogle Scholar |

Van Wagner CE (1969) A simple fire-growth model. Forestry Chronicle 45, 103–104.

Vasconcelos MJP, Paúl JCU, Gonçalves A (1998) GEOFOGO – testing a forest fire simulation system. In ‘Proceedings of the III International Conference on Forest Fire Research and 14th Conference on Fire and Forest Meteorology’. (Ed. DX Viegas) Vol. 1, pp. 889–890. (Associação para o Desenvolvimento da Aerodinâmica Industrial, University of Coimbra, Luso, Portugal)

Viegas DX (2004a) On the existence of a steady-state regime for slope and wind driven fire. International Journal of Wildland Fire 13, 101–117.
On the existence of a steady-state regime for slope and wind driven fire.Crossref | GoogleScholarGoogle Scholar |

Viegas DX (2004b) Slope and wind effects on fire propagation. International Journal of Wildland Fire 13, 143–156.
Slope and wind effects on fire propagation.Crossref | GoogleScholarGoogle Scholar |