Effect of multiple particle interactions on burning droplets

Abstract

The interactions between burning droplets are analyzed on the basis of the quasi-steady assumption. A generalized treatment for burning rates of droplets in an array has been developed using a modified Laplace equation with point sources. This treatment is applied to two droplets of different sizes, as well as finite arrays containing up to eight symmetrically arranged monodisperse droplets. Particle interactions are shown to be a function of particle size, number density, and geometry of the array. Results are presented in terms of correction factors from which multiple particle burning rates can be calculated from single particle burning rates. The correction factors are shown to be in close agreement with results available in the literature.