The chamber length for complete combustion

The droplets disappear when tr 0. By setting t = 0 in equation (84), the chamber length required for complete combustion is found to be 

FIGURE 11.5. The dimensionless minimum chamber length for complete combustion as a function of the drag parameter / 2 for various values of the dimensionless injection velocity / , (from [52]). 

The present analysis illustrates techniques for taking particle-gas interactions into account simply, by introducing an explicitly stated sequence of assumptions. 

FIGURE 11.6. Rough schematic diagram of model of spray deflagration. 

In the regime of heterogeneous propagation, the burning velocity may be estimated from equation (5-2) if w therein is approximated from results for droplet burning. If (1 -F v ) denotes the mass of the mixture reacted per unit mass of fuel burnt (where v is the stoichiometric fuel-gas ratio), then an estimate from equation (47), for example, is 

Assuming that homogeneous burning occurs if we then find the 

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