What information does the intraparticle diffusion model provide? When it is expected to be valid and when invalid? pleas explain in a simple manner with example if possible. And what is the diffusion boundary layer in such cases?
I'm not sure exactly what your model describes, but I can tell you the story of a huge expensive blunder that arose from not considering the difference between inter- and intra-particle diffusion. I came along afterward and fixed the modeling error. I am intentionally vague about who did what and where, but the mathematics are described: http://dudleybenton.altervista.org/publications/Contaminant%20Transport%20in%20Granular%20Media.pdf If I knew more about what you were investigating, I might be able to locate some free software.
It is possible to combine the influence of internal transport phenomena and the influence of surface phenomena on the overall process rate. Using such an equation in confrontation with experimental data, one can determine the diffusion coefficients and kinetic constants. However, one must have knowledge of partial differential equations and methods of solving them. I would like to add that at rpm of the stirrer / shaker used in kinetic tests, the influence of external diffusion can be neglected.
Intraparticle diffusion kinetic model is explained herein: https://youtu.be/iwi1c_-_qyQ
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