Abstract
A new numerical technique for simulating gas-solid reactions including diffusion through the reactant and product layers, reaction on the shrinking surface and internal reaction is presented Some transformations are introduced, and this model can be reduced to dimensionless form including a selfadjoint, singularly perturbed, two-point boundary-value problem and two initial-value problems. A combination of the Petrov-Galerkin finite element method and predictor-corrector method is applied to solve the problem. It is shown that the shrinking-core model including both surface reaction and product layer diffusion can arise for low initial relative permeability and the diffusion-controlled shrinking-core model occurs when the product layer diffusional resistance is large relative to the surface reaction. This method is simple and there is no limit on the range of the parameters. Computed results are numerically evaluated for comparison with results of previous authors.
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