On Radiation-Affected Flame Propagation in Gaseous Mixtures Seeded with ln´ert Particles

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Abstract
–We employ asymptotic techniques to study the propagation of a planar premixed flame in a gaseous mixture sceded with small, inert particles. Assuming that: i) the particles to gas heat capacity ratio is very small, ii) the phases are in local thermal and mechanical equilibrium, iii) the attenuation to conduction-convection length ratio is very large. iv) the radiant to convective energy flux ratio is small, v) the activation to thermal energy ratio is large we get the changes in flame structure and its increase in speed due to radiative (self-) preheating. The theory is applied first to steady flames, by using differential approximations of the radiative transfer equation. It is then extended to take account of a better description of radiative exchanges. including scattering and spectral effects, and is used to investigate the propagation of unsteady, planar flames.

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