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The Combustion of Pure and Composite Propellants. The Expansion and Application of Laminar Flame Theory to Heterogeneous Solid Propellants.

Oxidation and Combustion Rev Netherlands 1971 5:1-81
The theory presented here is based upon the laminarized solutions to the energy and flow conservation equations. It differs from the previous theories in two significant respects. First, the philosophical viewpoint is different from that of the previous theories. We refrain from assuming that the rate is governed by an exponential pyrolysis function of the surface temperature. Instead, the regression rate is assumed to be a kind of "eigen value," namely, that value of the surface regression rate that is required to maintain the convective energy balance of the surface. It is that value of the rate whose magnitude determines a convective energy loss term, which, when combined with the subsurface conductive loss term, just balances the conductive gain term from the gas. The surface temperature is still a significant parameter; however it is no longer the most significant variable. In many respects, the viewpoint is a macroscopic analogue of the new microscopic theories of chemical kinetics: those that emphasize the energy and momentum balance as being the causative factors in determining the rates of elementary reactions. The "causative factor" in this theory, is no longer the temperature of the surface, but rather the rate of heat generation in the gas flame above the surface. This leads us to the second significant difference between this and previous theories. This theory is more realistic in recognizing the nature of this heating-rate problem, and in obtaining a practical solution to estimating its magnitude.
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OP 113-72
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Oxidation and Combustion Rev. (The Netherlands), V. 5, 1971, PP. 1- 81