Mathematical Modeling of Crown Forest Fire Spread
Valeriy Perminov
.
DOI: 10.4236/ojf.2012.21003   PDF    HTML     4,833 Downloads   10,207 Views   Citations

Abstract

Mathematical model of forest fire was based on an analysis of known experimental data and using concept and methods from reactive media mechanics. In this paper the assignment and theoretical investigations of the problems of crown forest fire spread in windy condition were carried out. In this context, a study—mathematical modeling—of the conditions of forest fire spreading that would make it possible to obtain a detailed picture of the change in the temperature and component concentration fields with time, and determine as well as the limiting condition of fire propagation in forest with fire break.

Share and Cite:

Perminov, V. (2012). Mathematical Modeling of Crown Forest Fire Spread. Open Journal of Forestry, 2, 17-22. doi: 10.4236/ojf.2012.21003.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Albini, F. A., et al. (1995). Modeling ignition and burning rate of large woody natural fuels. International Journal of Wildland Fire, 5, 81-91. doi:10.1071/WF9950081
[2] Alexander, V. E. (1998). Crown fire thresholds in exotic pine plantations of Australasia. Ph.D. Thesis, Acton: Australian National University.
[3] Cruz, M.G., Alexander, M.E., & Wakimoto, R.H. (2002). Predicting crown fire behaviour to support forest fire management decision-making. In D. X. Viegas (Ed.), Proceedings of 4th International Conference on Forest Fire Research/2002 Wildland Fire Safety Summit. Rotterdam: Millpress Science Publishers.
[4] Grishin, A. M. (1997). Mathematical modeling forest fire and new methods fighting them. Tomsk: Publishing House of Tomsk University.
[5] Grishin, A. M., & Perminov, V. A. (1998). Mathematical modeling of the ignition of tree crowns. Combustion, Explosion, and Shock Waves, 34, 378-386. doi:10.1007/BF02675602
[6] Konev, E. V. (1977). The physical foundation of vegetative materials combustion. Novosibirsk: Nauka.
[7] Morvan, D., & Dupuy, J. L. (2001). Modeling of fire spread through a forest fuel bed using a multiphase formulation. Combustion and Flame, 127, 1981-1994. doi:10.1016/S0010-2180(01)00302-9
[8] Morvan, D., & Dupuy, J. L. (2004). Modeling the propagation of wildfire through a Mediterranean shrub using a multiphase formulation. Combustion and Flame, 138, 199-210. doi:10.1016/j.combustflame.2004.05.001
[9] Patankar, S. V. (1981). Numerical heat transfer and fluid flow. New York: Hemisphere Publishing Corporation.
[10] Perminov, V. A. (1995). Mathematical modeling of crown and mass forest fires initiation with the allowance for the radiative—Conve- ctive heat and mass transfer and two temperatures of medium. Ph.D Thesis, Tomsk: Tomsk State University.
[11] Perminov, V. A. (1998). Mathematical modeling of crown forest fire initiation. Proceedings of III International conference on forest fire research and 14th conference on fire and forest meteorology. Luso.
[12] Rothermel, R. C. (1991). Crown fire analysis and interpretation. Proceedings of 11th International conference on fire and forest meteorology. Bethesda, MA: Society of American Foresters.
[13] Scott, J. H., et al. (2001). Assessing crown fire potential by linking models of surface and crown fire behavior. USDA Forest Service, Rocky Mountain Forest and Range Experiment Station. Colorado: Fort Collins.
[14] Van Wagner, C. E. (1977). Conditions for the start and spread of crown fire. Canadian Journal of Forest Research, 7, 23-34. doi:10.1139/x77-004
[15] Van Wagner, C. E. (1989). Prediction of crown fire behavior in conifer stands. Proceedings of 10th conference on fire and forest meteorology. Ottawa, Ontario: Forestry Canada.
[16] Xanthopoulos, G. (1990). Development of a wildland crown fire initiation model. Ph.D. Thesis, Missoula: University of Montana.
[17] Zverev, V. G. (1985). Mathematical modeling of aerodynamics and heat and mass transfer at crown forest fire spread. Ph.D. Thesis, Tomsk: Tomsk State University.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.