Burning velocity heterogeneous

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 4- 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... 

Normalized variables and nondimensional parameters may be identified from equation (114) [73], and an iterative method of solution may be devised [50] and applied [73] to obtain an approximate formula for — Po o Po o- This formula exhibits the attributes of the burning velocity for the heterogeneous regime that were discussed in Section 11.6.1. Thus a more formal development leads to the qualitative results that have been inferred from physical reasoning. It is instructive to have seen a representative sequence of approximations involved in a formal development. The iterative method [50] has been applied successfully [77] with fewer approximations, through use of techniques for numerical integration, to derive... 

Rastogi and Bisht (Ref 3a) made combustion studies on hybrid propints consisting of o-s m-and p-toluidine nitTates with aniline-formaldehyde polymer as solid fuels, and red fuming nitric acid as oxidizer. They found that the results fitted a burning rate equation of the type, = a (G)v, where a and v are constants and G is the mass velocity. The authors conclude that the heterogeneous combustion reaction is diffusion controlled, and its rate is dependent on particle size... 

The effect of the impact of steel cylinders and spheres on PBX-9502 was modeled by Fu and Cort in reference 28. They used the 2DE code with the Forest Fire heterogeneous shock initiation burn. They found good agreement between the numerical model and experiments involving instrumented mock and high explosives, with projectiles of varying sizes, shapes, and velocities. 

---