Abstract
In this paper, we investigate the model of combustion of polydisperse fuel spray that release to the atmosphere. The mathematical model using the well-known Eulerian–Lagrangian approach for transient flows of the fuel vapor–droplets mixture. The eddy breakup model is used to describe the combustion of the spray droplets as well as the k–ϵ model is used to describe the turbulence of the process. In order to investigate the mathematical/physical model, we applied the well-known analytic approximate method, the homotopy analysis method (HAM). According to the theory of HAM, the convergence and the rate of solution series are dependent on the artificial convergent control parameter ħ.
Highlights
Many chemical industries stored a large quantity of fuel at high pressure in liquid state
This phenomenon is dangerous for the environment and for people when a flammable substance released into the atmosphere
There are no many researches on the release of liquid fuel to the atmosphere
Summary
Many chemical industries stored a large quantity of fuel at high pressure in liquid state. The Lagrangian approach is applied in order to describe the dispersion of droplets with the mass, momentum, and energy exchange between the gas and liquid phases via the source terms. The mathematical/physical model takes into account the radiative heat transfer as well as global kinetics soot formation and soot oxidation are applied in order to calculate the soot volume fraction. These two processes are necessary in order to calculate the absorption coefficient of hydrocarbon combustion product, (Makhviladze, Roberts, & Yakush, 1999c).
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