An Analytical Solution of Diffusion-Controlled Gasification of Carbon Particles in the Presence of Steam, Oxygen, and Nitrogen
Analytical solutions are derived for diffusion-controlled gasification of carbon particles. The solutions apply to arbitrary gas mixtures containing steam, oxygen, or nitrogen. The solution is developed in stages, beginning with isothermal and isobaric carbon gasification. Solutions are derived for constant values of the product of density and diffusion coefficient.
A general procedure is described for decoupling the species- and energy-conservation equations for problems with radial symmetry. The temperature profiles are obtained by iteration.
Particle lifetimes, mass-loss rates, particle radii, and species concentrations are in fair agreement with numerical data for finite chemical-reaction rates for the special cases for which numerical solutions are available.
KeywordsCarbon Particle Particle Radius Flame Front Particle Temperature Carbon Sphere
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- 1.M. M. Avedesian and J. F. Davidson, Combustion of carbon particles in a fluidised bed, Trans. Inst. Chem. Eng. 51, 121–131 (1973).Google Scholar
- 3.M. F. R. Mulcahy and I. W. Smith, Kinetics of combustion of pulverized fuel: A review of theory and experiment, Rev. Pure Appl. Chem. 19, 81–108 (1969).Google Scholar
- 4.S. S. Penner, Chemistry Problems in Jet Propulsion, pp. 280–291, Pergamon Press, London (1957).Google Scholar
- 7.S. S. Penner and B. P. Mullins, Explosions, Detonations, Flammability, and Ignition, pp. 9–15 and 101-106, Pergamon Press, London (1959).Google Scholar