@Article{KokubunFachMata:2017:StExDi,
author = "Kokubun, M. A. Endo and Fachini Filho, Fernando and Matalon, M.",
affiliation = "{Instituto Nacional de Matem{\'a}tica Pura e Aplicada (IMPA)} and
{Instituto Nacional de Pesquisas Espaciais (INPE)} and {University
of Illinois at Urbana-Champaign}",
title = "Stabilization and extinction of diffusion flames in an inert
porous medium",
journal = "Proceedings of the Combustion Institute",
year = "2017",
volume = "36",
number = "1",
pages = "1485--1493",
keywords = "Porous medium, Diffusion flame, Asymptotic analysis, Extinction.",
abstract = "Diffusion flames established in inert porous media have been
reported to present temperatures lower than a comparable gaseous
mixture. Therefore, the study of the flame structure, temperature
and extinction limits of confined diffusion flames is of
importance. In the present work we discuss extinction conditions
for such flames. Using an asymptotic model that accounts for the
excess/deficient enthalpy at the reaction region, we study the
multiscale problem and analyze the effects of the heat exchange
between gas and solid phases on the flame structure. When the heat
removed from the flame by the solid matrix is large, the flame can
extinguish because the lowering in the flame temperature leads to
increasingly large leakage of reactants through the flame sheet.
We show that this occurs when the porosity or the mass injection
rate is small enough. The extinction limit associated with a small
value of the mass injection rate adds to the kinetic extinction
limit (which is associated with a large value of the mass
injection rate) to characterize a dual-extinction-point behavior
for this problem. When the porosity of the medium reaches a
minimum critical value, these two distinct extinction points
collapse, such that for porosities lower than the critical
porosity no flame can be established inside the porous chamber.
Then, it is possible to construct a flammability map for the
confined diffusion flame, where the critical porosity defines an
absolute flammability limit.",
doi = "10.1016/j.proci.2016.07.004",
url = "http://dx.doi.org/10.1016/j.proci.2016.07.004",
issn = "1540-7489",
language = "en",
targetfile = "kokubun_stabilizaiton.pdf",
urlaccessdate = "27 abr. 2024"
}