By V. S. and L. S. Skubachevskii Zuyev
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Extra info for Combustion Chambers for Jet Propulsion Engines
Ll) t The formation of flame near the walls for a peripheral source of ignition is determined only by the source. 60 COMBUSTION CHAMBERS FOR JET PROPULSION ENGINES Let us consider now a second case, when the ignition source is located on the axis of the gas stream (Fig. 24). We construct the coordinate axes as for the previous case. FIG. 24. Determination of the flame length for a point source of ignition. 12) On carrying out the transformation, we obtain dl = 1-dr. 13) As in the first case, it is necessary, therefore, to know the variation of velocity along the flame front.
Mathematically, the velocity of the reaction in this case is expressed by the following formula: "^^'^(i+LJ' (L24) where a is a coefficient of proportionality, indicating in which proportion the end products are found at the commencement of the reaction nH2 = a% s . For a chain reaction with non-branched chains (Fig. 3) two cases are possible: (1) if the number of active centres has already attained a maximum value and they exist in an equilibrium condition, then according to the extent of burn-out, the velocity of the reaction is reduced.
T I t is obvious that in this case combustion is propagated against the gas flow — the flame "jumps". FLAME PROPAGATION IN A GAS STREAM 57 FIG. 21. Change of shape of jet as a result of increasing the flow velocity. IS — Ignition source; ab — Element of flame front. FIG. 22. Change of shape of flame core as a function of velocity of combustion 3. DETERMINATION OF T H E L E N G T H OF T H E F L A M E This problem, as already mentioned, can be solved if the velocity of flame propagation is known (and, of course, the parameters of the "cold" gas stream).