An Analytical Solution of Diffusion-Controlled Gasification of Carbon Particles in the Presence of Steam, Oxygen, and Nitrogen

  • S. S. Penner
  • M. R. Brambley
  • M. Y. Bahadori


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.


Carbon Particle Particle Radius Flame Front Particle Temperature Carbon Sphere 
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Copyright information

© Plenum Press, New York 1985

Authors and Affiliations

  • S. S. Penner
    • 1
  • M. R. Brambley
    • 1
  • M. Y. Bahadori
    • 1
  1. 1.University of CaliforniaSan Diego, La JollaUSA

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