Theoretical and Numerical Analysis of Fuel Droplet Combustion Parameters via Different Combustion Models

Abstract

The study introduces a theoretical analysis and numerical solution for the combustionof two kinds of hydrocarbon fuel droplet inside the combustion chamber. The study employsthree mathematical models to analyze the combustion process, conventional (classical) model,transient model, and moving droplet model. The combustion process of a stagnant droplet inthe steady state was analyzed in the classical model, while, in the transient model, it wasassumed that there is a period of time in the stages of the droplet combustion in which thedroplet is heated before combustion, For the moving droplet model, the film boundaryapproximation was incorporated to express the effects of the relative motion on the combustionprocess parameters. The effect of change in temperature on the thermo-physical properties ofthe fuel was adopted through the three models. For the classical and moving droplet models, aconvenient approximation was adopted for the heat transferred inside the droplet.Computer programs were created to evaluate the required properties, solving theordinary differential equations evaluated from heat and mass transfer balances, and thenconstruct systems of non-linear equations.The three models show that thermo physical properties are strong functions toreference temperature. The transient model shows that the period of droplet heat up is mosteffective. For the moving droplet combustion model it was shown that the relative movementbetween droplet and ambient surrounding gas enhanced the mass burning rate and reduced thedroplet lifetime. The film theory approach was adopted in moving droplet model.