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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 46, 2004 - Issue 8
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Original Articles

ON THE RATE OF SPREAD FOR SOME REACTION-DIFFUSION MODELS OF FOREST FIRE PROPAGATION

, &
Pages 765-784 | Received 01 Oct 2003, Accepted 01 May 2004, Published online: 17 Aug 2010

References

  • Weber , R. O. 1991 . Modelling Fire Spread through Fuel Beds . Prog. Energy. Combustion. Sci. , 17 : 67 – 82 .
  • Beer , T. 1990 . Percolation Theory and Fire Spread . Combustion Sci. Technol. , 72 : 297 – 304 .
  • Richards , G. D. 1990 . An Elliptical Growth Model of Forest Fire Fronts and Its Numerical Solution . Int. J. Numer. Meth. Eng. , 30 : 1163 – 1179 .
  • Rothermel , R. C. and Mathematical , A . 1972 . Model for Predicting Fire Spread in Wildland Fuels , USDA Forest Service Research Paper INT-115 40 Ogden, UT
  • Weber , R. O. 1991 . Toward a Comprehensive Wildfire Spread Model . Int. J. Wildland Fire , 1 ( 4 ) : 245 – 248 .
  • Margerit , J. and Séro-Guillaume , O. 2002 . Modelling Forest Fires. Part II: Reduction to Two-Dimensional Models and Simulation of Propagation . Int. J. Heat Mass Transfer , 45 ( 8 ) : 1723 – 1737 .
  • Grishin , A. M. 1997 . Mathematical Modelling of Forest Fires and New Methods of Fighting them Edited by: Smokotina , L. Frank Albini
  • Séro-Guillaume , O. and Margerit , J. 2002 . Modelling Forest Fires. Part I: A Complete Set of Equations Derived by Extended Irreversible Thermodynamics . Int. J. Heat Mass Transfer , 45 ( 8 ) : 1705 – 1722 .
  • Williams , F. A. 1985 . Combustion Theory , 2d ed. , Reading, MA : Addison-Wesley .
  • Larini , M. , Giroud , F. , Porterie , B. , Loraud , J. C. and Multiphase , A . 1998 . Formulation for Fire Propagation in Heterogeneous Combustible Media . Int. J. Heat Mass Transfer , 41 : 881 – 897 .
  • Xin , J. 2000 . Front Propagation in Heterogeneous Media . SIAM Rev. , 42 ( 2 ) : 161 – 230 .
  • Morandini , F. , Santoni , P. A. and Balbi , J. H. 2001 . The Contribution of Radiant Heat Transfer to Laboratory-Scale Fire Spread under the Influence of Wind and Slope . Fire Safety J. , 36 : 519 – 543 .
  • Chetehouna , K. 2002 . Contribution à la métrologie des feux de végétation , Nancy, , France : Institut National Polytechnique de Lorraine . Ph.D. thesis, (in French)
  • Andre , J. C. S. , Urbano , J. Miguel. and Viegas , D. X. 2002 . Forest Fire Front Spread Models: The Quasi-equilibrium Hypothesis Preprint
  • De Mestre , N. J. , Catchpole , E. A. , Anderson , D. H. and Rothermel , R. C. 1989 . Uniform Propagation of a Planar Fire Front without Wind . Combustion Sci. Technol. , 65 : 231 – 244 .
  • Siegel , R. and Howell , J. 1992 . Thermal Radiation Heat Transfer , 3d ed. , Washington, DC : Hemisphere .
  • Modest , M. F. 1993 . Radiative Heat Transfer , New York : McGraw-Hill .
  • Dorrer , G. A. 1984 . A Model for Propagation of Curvilinear Forest-Fire Fronts . Krasnoyarsk , 20 ( 1 ) : 11 – 19 . translated from Fizika Goreniya i Vzryva
  • Albini , F. A. 1985 . Wildland Fire Spread by Radiation: A Model Including Fuel Cooling by Convection . Combustion Sci. Technol. , 45 : 101 – 113 .

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