ABSTRACT
The phenomenon of variation of radius and the surface temperature of the fuel droplets in sprays of combustion chambers in gas turbines is studied. Differential equation of first order, relating surface temperature, radius and time is derived and solved by finite difference method (FDM). Finite difference method is continued until the droplet reaches its flash point temperature at the specified combustion chamber conditions i.e., 8000c and 12 bar. The Process is repeated for three monocomponent fuels n-Butanol, n-Heptane, Ethanol. Generalized parabolic equations are derived for all the six fuels which give the temporal variations of fuel droplet surface temperature and droplet radius, using which disintegration radius and critical time of any fuel droplet can be known. To check the validity of the equations the analysis is carried out for three other fuels Methanol, 1-Propanol and n-Octane using FDM and the results are compared to those obtained from the developed equations.
Keywords: Modelling of Droplet, Droplet Models, Mono-component fuel, Non-Dimensionalizing, Finite Difference Method (FDM), Surface Temperature, Disintegrating Radius, Critical Time.