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Theory of Linear Flame Propagation. Part I. Existence, Uniqueness, and Stability of the Steady State

1954; American Institute of Physics; Volume: 22; Issue: 2 Linguagem: Inglês

10.1063/1.1740035

1520-9032

David Layzer,

Advanced Thermodynamics and Statistical Mechanics

It is shown that the equations governing the steady, adiabatic, one-dimensional propagation of single-reaction flames admit an infinity of solutions, only one of which, however, can be realized physically. The steady state is shown to be stable against small perturbations, and the possibility of reconciling this result with apparently contradictory experimental data is discussed.