Radiative transfer as a propagation mechanism for rich flames of reactive suspensions
The authors set up and study a basic model for combustion waves propagating in rich homogeneous mixtures of combustible solid particles and a gaseous oxidizer. These mixtures are viewed as one-temperature absorbing-emitting-reactive media. They assume further that: (i) the rate of the overall heterogeneous ''oxidizer+particle'' reaction is strongly temperature sensitive, but diffusion saturated at sufficiently high temperatures, (ii) the only large-scale mechanisms of energy transport are convection and particle black-body radiation, (iii) the radiative transfer follows the Eddington differential approximation. They obtain the structure and burning speed of steady, planar combustion waves analytically by employing the method of matched asymptotic expansions which we use in the double limit of large Zel'dovitch numbers (an activation to thermal energy ratio) and of small Boltzmann numbers (a convective to forward radiant heat flux ratio). Two kinds of propagation regimes are exhibited, and the computation of their burning speed (an eigenvalue) is reduced to solving a small number of transcendental equations.
- Research Organization:
- Laboratoire d'Energetique et de Detonique, U.A. 193 CNRS, E.N.S.M.A., 86034 Poitiers Cedex
- OSTI ID:
- 5402761
- Journal Information:
- SIAM J. Appl. Math.; (United States), Vol. 46:4
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
FLAMES
RADIANT HEAT TRANSFER
ACTIVATION ENERGY
BLACKBODY RADIATION
BOLTZMANN EQUATION
COMBUSTION KINETICS
COMBUSTION WAVES
CONVECTION
DIFFUSION
EIGENVALUES
FLAME PROPAGATION
LAYERS
MIXTURES
OXIDIZERS
SOLIDS
TEMPERATURE DEPENDENCE
WAVE PROPAGATION
CHEMICAL REACTION KINETICS
DIFFERENTIAL EQUATIONS
DISPERSIONS
ELECTROMAGNETIC RADIATION
ENERGY
ENERGY TRANSFER
EQUATIONS
HEAT TRANSFER
KINETICS
MASS TRANSFER
PARTIAL DIFFERENTIAL EQUATIONS
RADIATIONS
REACTION KINETICS
400800* - Combustion
Pyrolysis
& High-Temperature Chemistry