247
Views
12
CrossRef citations to date
0
Altmetric
Articles

Near Quenching Limit Instabilities of Concurrent Flame Spread over Thin Solid Fuel

, , , &
Pages 451-471 | Received 14 May 2015, Accepted 24 Nov 2015, Published online: 22 Feb 2016

References

  • Akkutlu, I.Y., and Yortsos, Y.C. 2003. The dynamics of in-situ combustion fronts in porous media. Combust. Flame, 134, 229–247.
  • Aldushin, A.P., and Matkowsky, B.J. 1998. Instabilities, fingering and the Saffman–Taylor problem in filtration combustion. Combust. Sci. Technol., 133, 293–341.
  • Brailovsky, I., Gordon, P., and Sivashinsky, G. 2008. On flame-flow interaction in forward smoldering. Combust. Flame, 153, 490–495.
  • Cheatham, S., and Matalon, M. 1996. Heat loss and Lewis number effects on the onset of oscillations in diffusion flames. Proc. Combust. Inst., 26, 1063–1070.
  • Cheatham, S., and Matalon, M. 2000. A general asymptotic theory of diffusion flames with application to cellular instability. J. Fluid Mech., 414, 105–144.
  • Chen, R., Mitchell, G.B., and Ronney, P.D. 1992. Diffusive–thermal instability and flame extinction in nonpremixed combustion. Proc. Combust. Inst., 24, 213–221.
  • de Ris, J.N. 1968. The spread of a diffusion flame over a combustible surface. PhD dissertation. Harvard University, Cambridge, MA.
  • Di Blasi, C. 1993. Modeling and simulation of combustion processes of charring and non–charring solid fuels. Prog. Energy Combust. Sci., 19, 71–104.
  • Fernandez-Pello, A.C. 1984. Flame spread modeling. Combust. Sci. Technol., 39, 119–134.
  • Fernandez-Pello, A.C., and Hirano, T. 1983. Controlling mechanisms of flame spread. Combust. Sci. Technol., 32, 1–31.
  • Ijioma, E.R., Muntean, A., and Ogawa, T. 2013. Pattern formation in reverse smouldering combustion: A homogenisation approach. Combust. Theor. Model., 17, 185–223.
  • Ijioma, E.R., Muntean, A., and Ogawa, T. 2015. Effect of material anisotropy on the fingering instability in reverse smoldering combustion. Int. J. Heat Mass Transfer, 81, 924–938.
  • Kagan, L., and Sivashinsky, G. 2008. Pattern formation in flame spread over thin solid fuels. Combust. Theor. Model., 12, 269–281.
  • Kim, J.S. 1997. Linear analysis of diffusional-thermal instability in diffusion flames with Lewis numbers close to unity”. Combust. Theor. Model., 1, 13–40.
  • Kim, J.S., and Lee, S.R. 1999. Diffusive–thermal instability in strained diffusion flames with unequal Lewis numbers. Combust. Theor. Model., 3, 123–146.
  • Kim, J.S., Williams, F.A., and Ronney, P.D. 1996. Diffusional-thermal instability of diffusion flames. J. Fluid Mech., 327, 273–301.
  • Kukuck, S., and Matalon, M. 2001. The onset of oscillations in diffusion flames. Combust. Theor. Model., 5, 217–240.
  • Kumar, A., Shih, H.Y., and T’ien, J.S. 2003. A comparison of extinction limits and spreading rates in opposed and concurrent spreading flames over thin solids. Combust. Flame, 132, 667–677.
  • Liñán, A. 1974. The asymptotic structure of counterflow diffusion flames for large activation energies. Acta Astronaut., 1, 1007–1039.
  • Lu, C., and Yortsos, Y.C. 2005. Pattern formation in reverse filtration combustion. Phys. Rev. E, 72, 036201.
  • Lu, Z., and Dong, Y. 2011. Fingering instability in forward smolder combustion. Combust. Theor. Model., 15, 795–815.
  • Lu, Z., Buckmaster, J., Chen, M., and Massa, L. 2006. Instabilities of reverse smolder waves. Combust. Theor. Model., 10, 515–534.
  • Matalon, M. 2009. Flame dynamics. Proc. Combust. Inst., 32, 57–82.
  • Metzener, P., and Matalon, M. 2006. Diffusive–thermal instabilities of diffusion flames: Onset of cells and oscillations. Combust. Theor. Model., 10, 701–725.
  • Miclavcic, M., Moore, A.B., and Wichman, I.S. 2005. Oscillations and island evolution in radiating diffusion flames. Combust. Theor. Model., 9, 403–416.
  • Ohki, Y., and Tsugé, S. 1974. On flame spreading over a polymer surface. Combust. Sci. Technol., 9, 1–12.
  • Ohlemiller, T.J. 1985. Modeling of smoldering combustion propagation. Prog. Energy Combust. Sci., 11, 277–310.
  • Ohlemiller, T.J., and Lucca, D.A. 1983. An experimental comparison of forward and reverse smolder propagation in permeable fuel beds. Combust. Flame, 54, 131–147.
  • Olson, S.L. 1991. Mechanisms of microgravity flame spread over a thin solid fuel: Oxygen and opposed flow effects. Combust. Sci. Technol., 76, 233–249.
  • Olson, S.L., Baum, H.R., and Kashiwagi, T. 1998. Finger-like smoldering over thin cellulosic sheets in microgravity. Proc. Combust. Inst., 27, 2525–2533.
  • Olson, S.L., Ferkul, P.V., and T’ien, J.S. 1988. Near–limit flame spread over a thin solid fuel in microgravity. Proc. Combust. Inst., 22, 1213–1222.
  • Olson, S.L., Miller, F.J., and Wichman, I.S. 2006. Characterizing fingering flamelets using the logistic model. Combust. Theor. Model., 10, 323–347.
  • Olson, S.L., Miller, F.J., Jahangirian, S., and Wichman, I.S. 2009. Flame spread over thin fuels in actual and simulated microgravity conditions. Combust. Flame, 156, 1214–1226.
  • Rein, G. 2009. Smouldering combustion phenomena in science and technology. Int. Rev. Chem. Eng., 1, 3–18.
  • Schult, D.A., Matkowsky, B.J., Volpert, V.A., and Fernandez-Pello, A.C. 1996. Forced forward smolder combustion. Combust. Flame, 104, 1–26.
  • Sohn, C.H., Chung, S.H., and Kim, J.S. 1999. Instability–induced extinction of diffusion flames established in the stagnant mixing layer. Combust. Flame, 117, 404–412.
  • Sohn, C.H., Kim, J.S., Chung, S.H., and Maruta, K. 2000. Nonlinear evolution of diffusion flame oscillations triggered by radiative heat loss. Combust. Flame, 123, 95–106.
  • T’ien, J.S., Shih, H.Y., Jiang, C.B., Ross, H.D., Miller, F.J., Fernandez-Pello, A.C., Torero, J.L., and Walther, D. 2001. Mechanisms of flame spread and smolder wave propagation. In H.D. Ross (Ed.), Microgravity Combustion: Fire in Free Fall, Academic Press, San Diego, CA, pp. 299–418.
  • Uchida, Y., Kuwana, K., and Kushida, G. 2015. Experimental validation of Lewis number and convection effects on the smoldering combustion of a thin solid in a narrow space. Combust. Flame, 162, 1957–1963.
  • Wichman, I.S. 1992. Theory of opposed–flow flame spread. Prog. Energy Combust. Sci., 18, 553–593.
  • Williams, F.A. 1977. Mechanisms of fire spread. Proc. Combust. Inst., 16, 1281–1294.
  • Yuan, F., and Lu, Z. 2013. Structure and stability of non-adiabatic reverse smolder waves. Appl. Math. Mech., 34, 657–668.
  • 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.
  • Zik, O., and Moses, E. 1998. Fingering instability in solid fuel combustion: The characteristic scales of the developed state. Proc. Combust. Inst., 27, 2815–2820.
  • Zik, O., and Moses, E. 1999. Fingering instability in combustion: an extended view. Phys. Rev. E, 60, 518–531.
  • Zik, O., Olami, Z., and Moses, E. 1998. Fingering instability in combustion. Phys. Rev. Lett., 81, 3868–3871.

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.