Thermal Explosion of Polydisperse Fuel Spray

We investigated the effects of polydispersity of fuel droplets on the thermal explosion. The size distribution of combustible fuel droplets is approximated  by  corresponding continuous  probability density functions (PDF). The approach was proposed three years ago in our previous works. Comparatively with the parcel method the PDF-method permits us to obtain simple and compact mathematical models. We obtained an explicit expression for the critical condition for thermal explosion. Numerical simulations demonstrate an essential dependence of the thermal explosion limit on the different probability density function type.