## Abstract Analysis of singleโpore behavior in a porous pellet of reactant is used to develop a new model for predicting the conversionโtime relationship for gasโsolid noncatalytic reactions. The model accounts for the influence of pore diffusion, diffusion through the product layer which builds u
A solution technique for noncatalytic diffusion-reaction models
โ Scribed by W.E. King Jr.; W.S. Jones
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 443 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0009-2509
No coin nor oath required. For personal study only.
โฆ Synopsis
A techmque for solvmg the model equations typ~al of noncatalmc flurd-sohd reacttons where both dlffusron and lanetics are unportant IS presented The partial dlfferentlal equations are transformed by orthogonal collocation mto a system of ordmary dtierentmi equations of the Imtml-value type These equations are then solved by a semr-lmphcit Runge-Kutta method developed by Mlchelsen Both gas-sohd and hqmd-sohd reactions as well as general reaction rate forms can be treated From the numerical examples presented the vahdlty of the pseudo-steady-state assumption IS demonstrated for values of the accumulation term parameter $ G 0 1
๐ SIMILAR VOLUMES
A parallel plate model is suggested for describing noncatalytic gas-solid reactions. Based on this model, expressions are developed which relate explicitly the progress of the reaction to porosity of the solid matrix, diffisivities in the pore and in the ash, reactant concentrations in the gas phase
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 nume