Flame comprehensive theory

The initial theoretical analyses for the determination of the laminar flame speed fell into three categories thermal theories, diffusion theories, and comprehensive theories. The historical development followed approximately the same order. 

The simple physical approaches proposed by Mallard and Le Chatelier [3] and Mikhelson [14] offer significant insight into the laminar flame speed and factors affecting it. Modem computational approaches now permit not only the calculation of the flame speed, but also a determination of the temperature profile and composition changes throughout the wave. These computational approaches are only as good as the thermochemical and kinetic rate values that form their database. Since these approaches include simultaneous chemical rate processes and species diffusion, they are referred to as comprehensive theories, which is the topic of Section C3. 

Comprehensive Theory and Laminar Flame Structure Analysis... 

In addition to the Burke and Schumann model (34) and the Displacement Distance theory, a comprehensive laminar diffusion flame theory can be written using the equations of conservation of species, energy, and momentum, including diffusion, heat transfer, and chemical reaction. 

In this paper we describe some of the basic effects which arise specifically from the coupling between chemical kinetics and fluid dynamics in combustion systems. Although the particular emphasis here is on the ignition and propagation of detonations, many of the more fundamental interactions described are generally applicable to flames. The selection of topics is by no means meant to be comprehensive rather, it represents a potpourri of ideas which complement each other and those presented in the other papers in this session of the Symposium. Although we mainly use calculations performed at NRL to extract and illustrate the details of the interactions, we have drawn liberally on the results of experiments and analytic theory. 

The limits theory for a one-dimensional diffusion flame was developed by Zeldovich Ya. B. [6] and Spalding D. [7]. Investigation of laminar diffusion flames was started in [6-9]. A comprehensive representation of the theoretical methods can be found in [10]. 

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