Stochastic Model of Liquid Fuel Spraying at High Pressures and High Reynolds Numbers

Abstract

The paper describes the main features of the combustion of liquid fuel injections, developed a stochastic model for the atomization of liquid fuels injected into the combustion chamber at high pressures and high Reynolds numbers. A mathematical model for the combustion of liquid injections at high pressures and high Reynolds numbers is presented, which includes: the equations of continuity, motion, internal energy, the K-ε model of turbulence, a system of equations describing the processes of evaporation, mixing, rupture and coalescence of liquid fuel droplets. A stochastic model of atomization of liquid fuels injected into a combustion chamber at high pressures and high Reynolds numbers has been developed. On the basis of the proposed model, computational experiments were carried out to study the combustion of liquid fuel depending on the injected mass in the combustion chamber under given initial conditions in full. When studying the effect of the mass of liquid fuel on the processes of ignition and combustion at high pressures and high Reynolds numbers, the mass values for octane 6 mg and for dodecane 7 mg were taken as the most optimal. A further increase in the injection mass, both for octane and dodecane at optimal pressures, worsens the combustion process. The results obtained are of fundamental and practical importance and can be used to develop the theory of combustion of gaseous and liquid fuels.