Abstract

A new modeling of heating and evaporation of fuel droplets and ignition of a fuel vapour/ air mixture in continuous
form is suggested. The size distribution of fuel droplets is assumed to be continuous and found from the
solution of the kinetic equation for the probability density function (PDF). The semi-transparency of droplets, the
difference between the gas temperature and the external temperature are take into account. The model represent in
dimensionless from, and the dynamics of the system is present in term of the dynamics of a multi-scale, singularly
perturbed system (SPS)

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