Abstract
This study presents a detailed investigation of the steady-state multiplicity structure of the combustion of porous char particles in an environment of oxygen and nitrogen. Particular emphasis was placed on the effects of thermal radiation on the steady-state features of the problem. A shooting method and a method based on B-spline collocation were employed for the solution of the model equations and the direct location of singular points of the solution loci. Our extensive numerical computations showed that the key parameters for the appearance of multiplicity of solutions higher than three, up to five steady states, are the effective diffusivity and effective thermal conductivity in the porous medium. however, multiplicity of five steady states is found only in a rather small region of the parametric space which lies outside the domain of “feasible” parameter values for low and intermediate porosity values.
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