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Extra resources for Aerothermodynamics of Aircraft Engine Components (Pandora Books)
18 Analyses for turbulent diffusion flames are similar to the laminar case, but use an artificially high diffusivity constant. Physically, the increased fuel-air mixing is explained as due to forced mixing of small fuel-lean or fuel-rich elements of gas by turbulent forces. These small elements of gas are called eddies. The analytical adjustment, called eddy diffusivity, accounts for the enhanced mixing at the reaction front. This approach is taken as a convenience and is based on empirical correlations rather than fundamental principles.
By increasing the altitude at which the engine is flying, the droplet temperature must adjust to satisfy this equality. Two regimes of interest can be defined. In the first, let the gas temperature be much greater than the particle temperature. Then a drop in P~ must be accompanied by a drop in T_. Because of the strong dependence of f on Tp, a small change an Tp wall be required to satisfy the equation. Hence, the . P 56 AIRCRAFT ENGINE COMPONENTS temperature difference (Too - Tp) will not change appreciably and, consequently, the conduction term and thus the evaporation rate will not change appreciably.
3 0 l I I l I 20 40 60 80 I00 120 m / VP n (arb. units) Fig. 16 Stirred reactor stability dependence on equivalence ratio. expected if a further increase is attempted. Typically, this PSR blowout point is imminent when the temperature rise above the inlet conditions is 75 % of that corresponding to complete combustion. The exponential nature of reaction rates [Eq. 4)] is directly reflected in Eq. 32). For this reason, perfectly stirred reactors have been extensively utilized for high-temperature chemical kinetic studies.