Abstract
Two-dimensional partial differential equations modeling a laminar flame system, freely propagating between cool parallel plates at constant pressure, were numerically integrated. Single-step Arrhenius kinetics were used and radiation loss was neglected throughout the analysis. The solution yielded the flame speed and structure at any distance separating the plates. Quenching distance, burning velocity, and flame structure at the quenching limit were obtained. The results showed that reducing the fuel concentration increased the quenching Peclet number, whereas reduction of pressure had approximately no effect on the quenching Peclet number over a large range of pressure. Axial diffusion of fuel species was investigated and found to have no effect on the quenching Peclet number. Theoretical results are in fair agreement with the available experimental results.
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