Journal
INTERNATIONAL JOURNAL OF SPRAY AND COMBUSTION DYNAMICS
Volume 14, Issue 1-2, Pages 107-117Publisher
SAGE PUBLICATIONS INC
DOI: 10.1177/17568277221085957
Keywords
Droplet Number Density Wave; evaporation; equivalence ratio fluctuations; transfer function
Categories
Funding
- European Union [766264]
- Machine learning for Advanced Gas turbine Injection SysTems
- Marie Curie Actions (MSCA) [766264] Funding Source: Marie Curie Actions (MSCA)
Ask authors/readers for more resources
This theoretical investigation examines the impact of gas velocity oscillations on droplet number density and evaporation rate. It proposes a mathematical model and analytical formulation to describe the processes involved. The study finds that gas velocity oscillations lead to variations in droplet concentration and modulation of evaporation rate, which in turn affect the equivalence ratio.
A theoretical investigation of the effect of gas velocity oscillations on droplet number density and evaporation rate is presented. Oscillations in gas velocity cause a number density wave, i.e. an inhomogeneous, unsteady variation of droplet concentration. The number density wave, as it propagates downstream at the mean flow speed, causes modulation of the local evaporation rate, creating a vapour wave with corresponding oscillations in equivalence ratio. The present work devises an analytical formulation of these processes. Firstly, the response of a population of droplets to oscillations in the gas velocity is modelled in terms of a number density wave. Secondly, the formulation is extended to incorporate droplet evaporation, such that an analytical expression for the evaporation rate modulation is obtained. Subsequently, the droplet 1D convection-diffusion transport equation with the calculated evaporation source term is solved using an appropriate Green's function to determine the resulting equivalence ratio perturbations. The dynamic response of equivalence ratio fluctuations to velocity oscillations is finally characterized in terms of a frequency-dependent transfer function. The aforementioned analytical approach relies on a number of simplifying approximations, nevertheless it was validated with good agreement against 1D Euler-Lagrange CFD simulations.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available