On the analysis of the stability of distributed reaction systems by Lyapunov's direct method

✍ Scribed by L. Padmanabhan; Ray Y.K. Yang; L. Lapidus

• Publisher: Elsevier Science
• Year: 1971
• Tongue: English
• Weight: 713 KB
• Volume: 26
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(71)86029-3

✦ Synopsis

It is shown that the restriction to adiabatic perturbations in concentration-temperature space as frequently made in the stability analysis of distributed reaction systems is unnecessary. By means of a carefully chosen Lyapunov functional, it is shown that non-adiabatic perturbations can be handled as easily as adiabatic ones; in fact there is no need to differentiate between the two and Lyapunov's method provides an elegant way to unify them. States which were previously shown to be only conditionally stable are shown to be completely stable. In the case of catalyst particle with arbitrary Lewis number some new results are obtained.