169
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Bounds for Downward Flame Spread Rate in Solid Fuels and Comparison to Experiments

&
Pages 1083-1106 | Received 31 Aug 2010, Accepted 22 Apr 2011, Published online: 14 Sep 2011

REFERENCES

  • Benguria , R.D. , Cisternas , J. , and Depassier , M.C. 1995 . Variational calculations for thermal combustion waves . Phys. Rev. E , 52 , 4410 .
  • Benguria , R.D. , Depassier , M.C. , and Méndez , V. 2004 . Minimal speed of fronts of reaction-convection-diffusion equations . Phys. Rev. E , 69 , 031106 .
  • Bhattacharjee , S. , West , J. , and Altenkirch , R.A. 1996a . Determination of the spread rate in opposed-flow flame spread over thick solid fuels in the thermal regime . Proc. Combust. Inst. , 26 , 1477 – 1485 .
  • Bhattacharjee , S. , West , J. , and Dockter , S. 1996b . A simplified theory for de Ris flame over thick and thin fuel beds . Combust. Flame , 104 , 66 – 80 .
  • Bhattacharjee , S. , Ayala , R. , Wakai , K. , and Takahashi , S. 2005 . Opposed-flow spread in microgravity-theoretical prediction of spread rate and flammability map . Proc. Combust. Inst. , 30 , 2279 – 2286 .
  • Bird , R.B. , Stewart , W.E. , and Lightfoot , E.N. 1992 . Transport Phenomena , John Wiley and Sons, Inc. , New York .
  • de Ris , J.N. 1969 . Spread of a laminar diffusion flame . Proc. Combust. Inst. , 12 , 241 – 252 .
  • Delichatsios , M.A. 1986 . Exact solution for the rate of creeping flame spread over thermally-thin materials . Combust. Sci. Technol. , 44 , 257 – 267 .
  • Delichatsios , M.A. 2003 . Relation of opposed flow (creeping) flame spread with extinction/ignition . Combust. Flame , 135 , 441 – 447 .
  • Delichatsios , M.A. 2007 . Surface extinction of flames on solids: Some interesting results . Proc. Combust. Inst. , 31 , 2749 – 2756 .
  • Di Blasi , C. 1994 . Processes of flame spreading over the surface of charring fuels: Effects of the solid thickness . Combust. Flame , 97 , 225 – 239 .
  • Fernández-Pello , A. , and Williams , F.A. 1977 . A theory of laminar flame spread over flat surfaces of solid combustibles . Combust. Flame , 28 , 251 – 277 .
  • Fort , J. , Campos , D. , González , J.R. , and Velayos , J. 2004 . Bounds for the propagation speed of combustion flames . J. Phys. A: Math. Gen. , 37 , 7185 – 7198 .
  • Fort , J. , and Pujol , T. 2008 . Progress in front propagation research . Rep. Prog. Phys. , 71 , 86001 .
  • Frey , Jr. , A.E. , and T'Ien , J.S. 1976 . Near-limit flame spread over paper samples . Combust. Flame , 26 , 257 – 267 .
  • Frey , Jr. , A.E. , and T'Ien , J.S. 1979 . A theory of flame spread over a solid fuel including finite-rate chemical kinetics . Combust. Flame , 36 , 263 – 289 .
  • Greenberg , J.B. , and Ronney , P.D. 1993. Analysis of Lewis number effects in flame spread. Int. J. Heat Mass Transfer , 36, 315–323.
  • Itoh , A. , and Kurosaki , Y. 1985 . Downward flame spread along several vertical, parallel sheets of paper . Combust. Flame , 60 , 269 – 277 .
  • Kung , H.-C. 1972 . A mathematical model of wood pyrolysis . Combust. Flame , 18 , 185 – 195 .
  • Lastrina , F.A. , Magee , R.S. , and McAlevy III , R. F. 1971 . Flame spread over fuel beds: Solid-phase energy considerations . Proc. Combust. Inst. , 13 , 935 – 948 .
  • Lemmon , E.W. , and Jacobsen , R.T. 2004 . Viscosity and thermal conductivity equations for nitrogen, oxygen, argon and air . Int. J. Thermophys. , 25 , 21 – 69 .
  • Norbury , J. , and Stuart , A.M. 1989 . A model for porous-medium combustion . Q. J. Mech. Appl. Math. , 42 , 159 – 178 .
  • Press , W.H. , Teukolsky , S.A. , Vetterling , W.T. , and Flannery , B.P. 1992 . Numerical Recipes in Fortran, , 2nd ed. , Cambridge Univ. Press , Cambridge .
  • Pujol , T. , Fort , J. , González , J.R. , Montoro , L. , and Pelegrí , M. 2008 . Bounds for the speed of combustion flames: The effect of mass diffusion . Physica A , 387 , 1987 – 1998 .
  • Pujol , T. , Fort , J. , Montoro , L. , and Suñol , J.J. 2009 . Generalized analytical expressions for the burning velocity in a combustion model with non-constant transport coefficients and several specific heats . Physica A , 388 , 4959 – 4972 .
  • Rangwala , A.S. , Buckley , S.G. , and Torero , J.L. 2007 . Upward flame spread on a vertically oriented fuel surface: The effect of finite width . Proc. Combust. Inst. , 31 , 2607 – 2615 .
  • Shih , H.-Y. 2009 . Flame spread and interactions in an array of thin solids in low-speed concurrent flows . Combust. Theor. Model. , 13 , 443 – 459 .
  • Smith , I.W.M. 2008 . The temperature-dependence of elementary reaction rates: Beyond Arrhenius . Chem. Soc. Rev. , 37 , 812 – 826 .
  • Wichman , I.S. 1992 . Theory of opposed-flow flame spread . Prog. Energy Combust. Sci. , 18 , 553 – 593 .
  • Wichman , I.S. , and Williams , F.A. 1983a . A simplified model of flame spread in an opposed flow along a flat surface of a semi-infinite solid . Combust. Sci. Technol. , 32 , 91 – 123 .
  • Wichman , I.S. , and Williams , F.A. 1983b . Comments on rates of creeping spread of flames over thermally thin fuels . Combust. Sci. Technol. , 33 , 207 – 214 .
  • Wu , K.-K. , and Chen , C.-H. 2003 . A numerical analysis of ignition to steady downward flame spread over a thin solid fuel . Combust. Sci. Technol. , 175 , 933 – 964 .
  • Wu , K.-K. , and Chen , C.-H. 2004 . Radiation effects for downward flame spread over a thermally thin fuel in a partial-gravity environment . Combust. Sci. Technol. , 176 , 1909 – 1933 .
  • Zhang , Y. , Ronney , P.D. , Roegner , E.V. , and Greenberg , J.B. 1992 . Lewis number effects on flame spreading over thin solid fuels . Combust. Flame , 90 , 71 – 83 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.