Abstract
The present paper treats the heterogeneous type of spray combustion and aims to analyse the field of combustion around a droplet in the spray and then estimate the effective diffusivity by considering the many-body effect. The cell model method is applied to overcome the mathematical difficulty of many-body interaction and the variational method is utilized to introduce an approximate diffusion equation in the case where there is a macroscopic flow of mass. The deformation of the flame sheet surrounding a particle is also calculated.
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