APPLICATION OF THE PERFECTLY STIRRED REACTOR (P.S.R.) THEORY TO ANALYSIS OF ONE-DIMENSIONAL FLAMES.
PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF FUEL SCIENCE
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Analysis of the one dimensional adiabatic flame, by application of P.S.R. theory, is possible by division of the flame into elements or cells each of which can then be regarded as a perfectly stirred reactor fed by the preceding cell and feeding the succeeding one. The analysis leads to a pair of algebraic equations, conveniently in finite difference form ready for machine computation, whose simultaneous solution gives temperature or concentration profiles as a function of distance or time for various input conditions concentration, temperature, velocity. Quantitative solution not carried out requires computation but useful qualitative conclusions can be drawn by graphical analysis of the equations. Specifically, ignition is discussed, and it is shown that concentration ranges generally exist for both critical and non-critical conditions. In the critical region, ignition is defined by the existence of a Semenov temperature jump. In this, strict theory predicts a discontinuous jump in temperature from a low-temperature stability point to a high temperature stability point. The ignition temperature so defined is found to be not coincident with the point of inflection of the temperature-time curve, except at the critical region boundary, and it rises steadily with decreasing concentration till the boundary of the critical region is reached.
- Theoretical Mathematics
- Combustion and Ignition