Numerical Solution of the Lumped Pore Diffusion Model

Reproduced with permission from A. Cavazzini, G. Bardin, K. Kaczmarski, 

5 Numerical Solution of the Lumped Pore Diffusion Model (or FOR Model) for Single Component Systems 

The derivation of numerical solutions of the general rate model (GR) for singlecomponent problems is a special case of that of nmnerical solutions of this model for multi-component systems, which will be discussed in Chapter 16 and that there is no need to reproduce here. However, since several authors have used this model to compare the experimental overloaded profiles of piue-component bands with those calculated with this and other models, we discuss briefly the numerical solutions of the general rate model for single-components. 

Series of overloaded band profiles for single-component samples were acquired, the experimental conditions being varied systematically. These profiles were compared to those calculated using the GR or the TD models and the BET isotherm. The lumped mass transfer rate coefficient, kf ,i was found to be practically propor- 

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