A. Bayliss et Bj. Matkowsky, STRUCTURE AND DYNAMICS OF KINK AND CELLULAR FLAMES STABILIZED ON A ROTATING BURNER, Physica. D, 99(2-3), 1996, pp. 276-302
We describe the formation and evolution of spatiotemporal patterns in
cylindrical premixed flames stabilized on a rotating cylindrical burne
r. We consider flames in the cellular regime, Le < 1, where the Lewis
number Le is the ratio of thermal to mass diffusivity of a deficient c
omponent of the combustible mixture. For the parameter regime consider
ed burner rotation tends to be stabilizing in that increasing the rota
tion rate generally promotes the development of traveling waves (TWs)
from modulated traveling waves (MTWs). However, more complex dynamics
occurs at the terminus of each of the TW branches. We find a number of
unsteady, nonaxisymmetric modes of combustion, including (i) kink mod
es, where one or more kinks (characterized by a jump or discontinuity
in the distance from the flame to the burner) rotate around the burner
, (ii) cellular flames in which one or more cells rotate around the bu
rner (iii) Pacman modes, in which a rapidly rotating kink periodically
overtakes and destroys more slowly rotating cells, with new cells cre
ated elsewhere, (iv) two front modes in which the flame, though govern
ed by a 1-step reaction mechanism, exhibits two distinct regions of bu
rning in a localized region of space, and (v) double fire rotating cel
lular flames (DF modes) which are MTWs where the modulation of each ce
ll exhibits two maxima over each period such that one cell attains its
first maximum simultaneously with the second maximum of its neighbor.
Certain of the modes that we describe have not been previously observ
ed for nonrotating burners either in experiment or in prior computatio
n.