| An asymptotic method developed by Cheatham and Matalon in 2000 (Cheatham and Matalon 2000) is applied to a diffusion flame model whose fuel is present in its condensed phase. The thesis studies the effect that this form of supply has on the diffusion flame's stability, and finds three things: first, when the fuel feed rate corresponds to the rate of evaporation, the scale and onset of pulsating or traveling wave instabilities on the flame are the same. Second, vaporization can either mitigate or enhance the onset of cellular instability, depending on the fuel Lewis number and other factors, and suppresses smaller spatial wavenumbers for all parameter choices examined. Third, for extreme parameter values, the vaporization mechanism alone can cause an instability, even with complete combustion. |
