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- W2000605820 abstract "The time-dependent heat conduction and diffusion equations with reaction have been set up for a number of ozone decomposition flames having initial ozone mole fractions between 0.25 and 1.0. By using finite-difference methods in order to advance in time from arbitrary initial composition and temperature profiles, it has been found possible in all cases to arrive at a stable, time-independent flame condition. For flames at atmospheric pressure having an initial temperature Tu = 298°K and initial mole fractions Xo3N = 0.25, 0.75, and 1.0, the steady-state flame velocities corresponding to the kinetic parameters used were 104, 363, 559, and 720 cm sec−1, respectively. Previous attempts by Campbell [4] and by Yang and Gray [6] to obtain direct solutions of the time-independent equations for the ozone-rich flames without involving the steady-state approximation for oxygen atoms have been unsuccessful. In addition such flames exhibit instabilities in practice. However, the fact that stable solutions are achieved by the present method suggests that the experimental instabilities are not a consequence of the complete nonexistence of a solution to the equations. Gasdynamic effects were not included in the present computations, and these may lead to a transition to detonation. Theoretical aspects of the existence of the solution to the time-independent equations are discussed briefly. It is suggested that the multiple eigenvalue nature of the problem involves, first, the mass burning velocity, M, as a single numerical eigenvalue, and, second, the concentration profiles as a number of associated eigenfunctions." @default.
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- W2000605820 date "1971-06-01" @default.
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- W2000605820 title "Ozone decomposition in relation to the problem of the existence of steady-state flames" @default.
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- W2000605820 doi "https://doi.org/10.1016/s0010-2180(71)80095-0" @default.
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