109
Views
47
CrossRef citations to date
0
Altmetric
Original Articles

Thermal-diffusive ignition and flame initiation by a local energy source

&
Pages 297-315 | Received 17 Dec 2001, Published online: 15 May 2007

References

  • Berman, V S, Riazantsev, I S, and Shevtsova, V M, 1981. Asymptotic analysis of the process of igniting a combustible gas mixture by thermal inhomogeneity, J. Appl. Math. Mech. 44 (1981), pp. 60–4.
  • Cambray, P, and Joulin, G, 1989. Stoichiometry effects in the point-source initiation of lean flames of a light fuel, Combust. Sci. Technol. 65 (1989), pp. 167–79.
  • Champion, M, Deshaies, B, Joulin, G, and Kinoshita, K, 1986. Spherical flame initiation: theory versus experiments for lean propano-air mixtures, Combust. Flame 65 (1986), pp. 319–37.
  • Deshaies, B, and Joulin, G, 1984. On the initiation of a spherical flame kernel, Combust. Sci. Technol. 37 (1984), pp. 99–116.
  • Dold, J W, 1985. Analysis of the early stage of thermal runaway, Quart. J. Mech. Appl. Math. 38 (1985), pp. 361–87.
  • Eckett, C A, Quirk, J J, and Shepherd, J E, 2000. The role of unsteadiness in direct initiation of gaseous detonations, J. Fluid Mech. 421 (2000), pp. 147–83.
  • He, L, 2000. Critical conditions for spherical flame initiation in mixtures with high Lewis numbers, Combust. Theory Modelling 4 (2000), pp. 159–72.
  • He, L, and Clavin, P, 1994. On the direct initiation of gaseous detonations by an energy source, J. Fluid Mech. 277 (1994), pp. 227–48.
  • Joulin, G, 1985. Point source initiation of lean spherical flames of light reactants: an asymptotic theory, Combust. Sci. Technol. 43 (1985), pp. 99–113.
  • Joulin, G, 1987. Preferential diffusion and the initiation of lean flames of light fuels, SIAM J. Appl. Math. 47 (1987), pp. 998–1016.
  • Kapila, A K, 1981. Evolution of deflagration in a cold combustible subjected to a uniform energy flux, Int. J. Engng Sci. 19 (1981), pp. 495–509.
  • Kassoy, D R, Kapila, A K, and Stewart, D S, 1989. A unified formulation for diffusive and nondiffusive thermal explosion theory, Combust. Sci. Technol. 63 (1989), pp. 33–43.
  • Liñán, A, 1974. The asymptotic structure of counterflow diffusion flames for large activation energies, Acta Astronaut. 1 (1974), pp. 1007–39.
  • Short, M, 1997. On the critical conditions for the initiation of a detonation in a nonuniformly perturbed reactive fluid, SIAM J. Appl. Math. 57 (1997), pp. 1242–80.
  • Sivashinsky, G I, 1977. Diffusional - thermal theory of cellular flames, Combust. Sci. Technol. 15 (1977), pp. 137–46.
  • Vázquez-EspíC, , and Liñán, A, 2001. Fast, nondiffusive ignition in a gaseous reacting mixture subject to a point energy source, Combust. Theory Modelling 5 (2001), pp. 485–98.
  • Zel'dovich, Y B, Barenblatt, G I, Librovich, B V, and Makhviladze, G M, 1985. Mathematical Theory of Combustion and Explosions. New York: Plenum; 1985.

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.