Tl. Jackson et Ce. Grosch, STRUCTURE AND STABILITY OF A LAMINAR DIFFUSION FLAME IN A COMPRESSIBLE, 3-DIMENSIONAL MIXING LAYER, Theoretical and computational fluid dynamics, 6(2-3), 1994, pp. 89-112
In this paper we consider the structure and stability of a three-dimen
sional, finite rate, reacting compressible mixing layer lying between
two streams of reactants with different freestream speeds and temperat
ures. Using both numerical calculations and asymptotic analyses, the s
tructure of the ignition and diffusion flame regimes was studied; in p
articular the effect of crossflow on the structure. The results of bot
h approaches are in good agreement. In the stability analysis the gene
ral case of three-dimensional disturbances was studied. It was shown t
hat certain general results, in particular the circle theorem, could b
e easily extended to three-dimensional disturbances in a compressible
fluid with crossflow. The introduction of a chemical reaction, in the
form of a flame sheet, was found to have complex effects on flow stabi
lity. These included the appearance of additional neutral modes compar
ed with the nonreacting case and substantial changes in growth rates w
ith heat release, the skew angle of the mean flow, and the direction o
f propagation of the disturbance wave. These results are discussed in
detail.