A transient model for ignition of a coal particle is presented. Criter
ia for heterogeneous and homogeneous ignition for transient model are
proposed. Using the inflection condition for particle temperature, the
criterion for heterogeneous ignition is reduced in terms of critical
mass loss rate. Ignition for smaller particles is primarily heterogene
ous (HI), followed by secondary homogeneous ignition (SGI). Primary ig
nition is homogeneous (GI) at high gas temperatures and for larger par
ticles. The boundary separating homogeneous ignition from heterogeneou
s ignition is estimated using the transient model, which changes with
ambient temperature and oxygen concentration. The SGI is obtained for
particle diameters below 400 mum at ambient gas temperature of 1500 K
and oxygen concentration of 0.23. The ignition sequence of HI followed
by SGI is also revealed by our recent video imaging of particle ignit
ion. The heterogeneous ignition temperature (T(p, HI)) Of the particle
is inversely related to particle diameter and oxygen concentration. W
hile the minimum ambient gas temperature (T(infinity, GI)) required fo
r homogeneous ignition shows a slight decrease with an increase in oxy
gen concentration, the local homogeneous ignition temperature (T(g, SG
)) does not appear to change with oxygen concentration. The results ar
e compared with those predicted with the steady state model of other r
esearchers.