A technique for solution of the equations for fluid—solid reactions with diffusion

✍ Scribed by M. Del Borghi; J.C. Dunn; K.B. Bischoff

• Publisher: Elsevier Science
• Year: 1976
• Tongue: English
• Weight: 457 KB
• Volume: 31
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(76)87028-5

✦ Synopsis

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 di5cult 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 analagous to an "effectiveness factor" in the transformed variable. For slab geometry, esuecially simple results are obtained, leading to analytical or semi-analytical results.

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INTRODUKTION AND BA!W OF PROBLEM