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Catalytic particle stability studies—III complex distributed resistances model

✍ Scribed by James.C.W. Kuo; Neal R. Amundson

Book ID
103006195
Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
991 KB
Volume
22
Category
Article
ISSN
0009-2509

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✦ Synopsis

Aim&act--The problem of asymptotic stability of a chemical reaction system in a single catalyst particle is studied using a model in which the mass and heat transfer resistances are distributed over the interior of the particle. The analysis of the stability of the steady state is equivalent to the analysis of a non-self-adjoint eigenvalue problem derived from the nonlinear equations linearized about the steady state. Two sufficient conditions for stability are given. These conditions have the adavntage of avoiding the complicated analysis of a non-self-adjoint system. A sufficient condition for the uniqueness of the steady state is also included. The same condition also implies the stability of the steady state. Numerical examples are treated.

📜 SIMILAR VOLUMES

Catalytic particle stability studies—II
Catalytic particle stability studies—II Lumped thermal resistance model
✍ James C.W. Kuo; Neal R. Amundson 📂 Article 📅 1967 🏛 Elsevier Science 🌐 English ⚖ 963 KB

A problem of asymptotic stability of a monomolecular reaction system in a catalyst particle is studied using a mathematical model with lumped thermal resistance on the surface of the particle and with intraparticle diffusion of the chemical species. The possible existence of multiple steady states i