Abstract
A new modeling of heating and evaporation of fuel droplets and ignition of a fuel vapour/ air mixture in continuousform is suggested. The size distribution of fuel droplets is assumed to be continuous and found from thesolution of the kinetic equation for the probability density function (PDF). The semi-transparency of droplets, thedifference between the gas temperature and the external temperature are take into account. The model represent indimensionless from, and the dynamics of the system is present in term of the dynamics of a multi-scale, singularlyperturbed system (SPS)
Highlights
Nothing that the combustion of sprays is a complex interaction of many different processes such as droplet heating, evaporation, ignition, combustion, interaction of different droplets etc. (Maas et al, 2006)
The model represent in dimensionless from, and the dynamics of the system is present in term of the dynamics of a multi-scale, singularly perturbed system (SPS)
In our numerical simulation we compared between the models with and without the impact of the thermal radiation i.e., ε9 0 and ε9 = 0 respectively in the form of: 1: The continuous model with probability density function (PDF) in the form of Gamma distribution:
Summary
Nothing that the combustion of sprays is a complex interaction of many different processes such as droplet heating, evaporation, ignition, combustion, interaction of different droplets etc. (Maas et al, 2006). Because the spray is characterized by a statistical distribution of droplets sizes, it is natural to describe the spray by a distribution function (William, 1985). In addition to representing the drop size distribution with a frequency plot, it is informative to use a cumulative distribution representation. This is essentially a plot of the integral of the frequency curve, and it may represent the percentage of the total surface area or volume of a spray contained in drops below a given size (Lefebvre, 1989). Because the graphical representation of drop size distribution is laborious and not related to experimental results, many workers have attempted to replace it with mathematical expression whose parameters can be obtained from a limited number of drop size measurements (Aggrawal, 1998)
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
