A. Umemura, INTERACTIVE DROPLET VAPORIZATION AND COMBUSTION - APPROACH FROM ASYMPTOTICS, Progress in energy and combustion science, 20(4), 1994, pp. 325-372
In recognition of its crucial role in spray combustion, the characteri
stic property of interactive droplet vaporization and combustion is re
viewed in the light of a generalized asymptotic theory which is presen
tly developed in order to gain deeper insight into the underlying phys
ics of spray combustion at near-atmospheric pressures. Emphasis is pla
ced on geometrical significance in excitation of group vaporization/co
mbustion modes. It is shown that a criterion for the onset of group co
mbustion is expressible in the form of a local relationship between th
e ratio of droplet separation distance to droplet radius, (l) over bar
= ((a) over bar(0)(3) (n) over bar)(-1/3), the unsteadiness parameter
for single droplet combustion, epsilon = [2(<(rho)over bar>(infinity)
/<(rho)over bar>)1n(1 + B)](1/2). An attempt is also made to clarify
the validity of the existing continuum theory from microscopic droplet
interaction considerations.