REACTION-DIFFUSION MODEL FOR COMBUSTION WITH FUEL CONSUMPTION .2. ROBIN BOUNDARY-CONDITIONS

A model, derived in a previous paper, for the reaction between a gaseo us oxidant and a solid porous fuel is analysed further for general Rob in boundary conditions. Numerical solutions are obtained and the effec ts of varying the dimensionless parameters, particularly the Frank-Kam enetskii parameter lambda, and the Lewis number L, are discussed in de tail and compared with results obtained previously when Dirichlet boun dary conditions are applied. Analytic solutions are obtained for the s mall-time development and for large values of lambda. This latter solu tion shows the existence of a propagating reaction-diffusion burning w ave, and has features which are qualitatively different to those deriv ed earlier.