Self-acceleration and fractal structure of outward freely propagating flames
2004 (English)In: Physics of fluids, ISSN 1070-6631, E-ISSN 1089-7666, Vol. 16, no 7, 2476-2482 p.Article in journal (Refereed) Published
Flame acceleration associated with development of the Landau-Darrieus hydrodynamic instability is studied by means of direct numerical simulation of the Navier-Stokes equations including chemical kinetics in the form of the Arrhenius law. The fractal excess for radially expanding flames in cylindrical geometry is evaluated. Two-dimensional (2-D) simulation of radially expanding flames in cylindrical geometry displays a radial growth with 1.25 power law temporal behavior after some transient time. It is shown that the fractal excess for 2-D geometry obtained in the numerical simulation is in good agreement with theoretical predictions. The difference in fractal dimension between 2-D cylidrical and three-dimensional spherical radially expanding flames is outlined. Extrapolation of the obtained results for the case of spherical expanding flames gives a radial growth power law that is consistent with temporal behavior obtained in the survey of experimental data.
Place, publisher, year, edition, pages
2004. Vol. 16, no 7, 2476-2482 p.
Computational geometry, Computer simulation, Extrapolation, Hydrodynamics, Navier Stokes equations, Reaction kinetics, Cylindrical geometry, Fractal dimensions, Power law
IdentifiersURN: urn:nbn:se:kth:diva-9145DOI: 10.1063/1.1729852ISI: 000221951400036OAI: oai:DiVA.org:kth-9145DiVA: diva2:25277
QC 201009152008-09-242008-09-242010-09-15Bibliographically approved