Abstract
The kinetic equations for several types of models for fluid—solid heterogeneous non-catalytic reactions with diffusional limitations have a similar mathematical structure. These coupled nonlinear partial differential equations possess very few analytical solutions, and are even difficult to solve numerically because of the “wave-like” nature of the concentration profiles. A transformation has been formulated that reduces these problems to a single, nonlinear diffusion-reaction equation in a new variable. Then, the multitude of results available for this type of problem can be used. With pseudo-steady-state conditions, the conversion of solid becomes analogous to an “effectiveness factor” in the transformed variable. For slab geometry, especially simple results are obtained, leading to analytical or semi-analytical results.
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