Combustion model of liquid fuel contained within an inert porous particle

An analytical model describing the burning of a liquid fuel contained within an inert porous particle has been developed. It considers two heat transfer mechanisms: conduction and radiation. The solution of the problem is based on mass, species, and energy conservation as well as vapor–liquid equilibrium at the surface of the liquid fuel located at the core of the porous particle. The explicit solution predicts the main combustion parameters: flame temperature, flame radius, mass flow rate, liquid core radius, and fuel mass fraction at the liquid surface. These parameters exhibit different behavior than those of a burning liquid droplet (d2 model). Nevertheless, the model reveals similar behavior of the profiles of the temperature and the mass fraction of the species.