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Qualitative analysis of the behaviour of nonlinear parabolic equations—II: Application of the methods for the estimation of domains of multiplicity

✍ Scribed by Vladimír Hlaváček; Milan Kubíček; Jan Caha


Publisher
Elsevier Science
Year
1971
Tongue
English
Weight
487 KB
Volume
26
Category
Article
ISSN
0009-2509

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✦ Synopsis


The application of linearization, orthogonal collocation and difference method is discussed for various reaction engineering problems. Following cases are considered: (a) heat transfer and exothermic chemical reaction of zero order (b) mass transfer in a porous catalyst accompanied by chemical reaction with Langmuir-Hinshelwood reaction rate expression (c) heat and mass transfer in a porous catalyst for (a) slab and sphere in a non-uniform external field (fl).reaction with a volumechange (d) heat and mass transfer in recycle-reactor.


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Qualitative analysis of the behaviour of
✍ Vladimír Hlaváček; Milan Kubíček 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 302 KB

A~tract-Three methods-linearization, orthogonal collocation and high order difference methodare discussed and the possibility of transformation of a distributed parameter system to a lumped parameter system is proposed. The connection among all these methods is indicated. The techniques suggested ar