Evaporation and ignition of a binary-fuel cluster of drops is describe
d by models under the assumptions that the volatile compound has infin
ite volatility with respect to the solvent and that the chemistries of
the two compounds are independent. A Damkohler number criterion devel
oped for use in sprays is utilized to determine the ignition time. Ano
ther criterion is used to determine the ignition location which can be
either around individual drops, or around groups of drops inside the
cluster, or around the entire cluster. Results show that except for ve
ry dilute situations where the initial liquid mass fraction of the vol
atile is very small, ignition always occurs around the entire cluster.
Otherwise, ignition occurs around groups of drops inside the cluster
but never around individual drops even though the ratio of the distanc
e between the centers of two adjacent drops by the drop diameter is gr
eater than thirty five. Studies performed by varying the air/fuel mass
ratio for a variety of parametric combinations show that: (1) At typi
cal gas temperatures for combustion devices, the ignition of very dens
e and very dilute clusters of drops is evaporation-controlled for iden
tical chemistries; it is strongly-controlled by solvent ignition in th
e very dense cluster regime, it is strongly-controlled by ignition of
the volatile in the very dilute regime. In the intermediary regime, ig
nition is controlled by the relative ignition chemistries of the compo
unds. These conclusions are independent of the amount of volatile init
ially present in the liquid. (2) The concept of volatile is more stron
gly associated with the latent heat of evaporation in the dense regime
, and more strongly associated with the saturation pressure curve in t
he very dilute regime. (3) By increasing the surrounding gas temperatu
re one gradually gains control of ignition in the dense and dilute reg
imes through the evaporation of solvent and volatile respectively. (4)
The initial slip velocity between phases affects ignition only in the
very dilute regime. (5) Changes in the cluster size affect the igniti
on time only in the very dense regime. Conclusions (3) and (4) are val
id under the assumption of identical kinetics for the two compounds; w
hen different kinetics are considered, it turns out that kinetic effec
ts overwhelmingly dominate ignition.