Journal ArticleDOI
Ignition and extinction in a model problem with parallel endothermic and exothermic reactions
S. Pushpavanam,R. Narayanan +1 more
TLDR
In this paper, the stability of two zeroth order reactions (one endothermic and the other exothermic) is considered and a perturbation approach is used to construct the solutions.About:
This article is published in Chemical Engineering Science.The article was published on 1989-01-01. It has received 2 citations till now. The article focuses on the topics: Exothermic reaction & Parameter space.read more
Citations
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Influence of internal heat removal upon effectiveness, stability of an exothermic catalytic film: Implications for process intensification
TL;DR: In this paper, a simplified one-dimensional model of two catalytic thin films exchanging heat through a common dividing wall was presented to demonstrate the importance of catalyst design for the cases of internal cooling or heating of a catalytic film, and coupling of exothermic and endothermic reactions via separate catalytic films.
Mathematical modeling of transport phenomena in chemical reactors
TL;DR: In this paper , a thermochemical process for producing hydrogen by the catalytic endothermic reaction of methanol with steam in a thermally integrated micro-channel reforming reactor was investigated.
References
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Journal ArticleDOI
Finite amplitude cellular convection
W. V. R. Malkus,G. Veronis +1 more
TL;DR: In this paper, a method for determining the form and amplitude of a layer of convection is presented, where the non-linear equations describing the fields of motion and temperature are expanded in a sequence of inhomogeneous linear equations dependent upon the solutions of the linear stability problem.
Journal ArticleDOI
Structure of the steady-state solutions of lumped-parameter chemically reacting systems
Vemuri Balakotaiah,Dan Luss +1 more
TL;DR: In this paper, the maximal number of steady-state solutions of a lumped parameter system in which several chemical reactions occur simultaneously is determined, and the method can predict also the different types of diagrams describing the dependence of a state variable of the reactor on a design or operating variable.
Journal ArticleDOI
Singular Perturbations of Bifurcations
TL;DR: In this paper, an asymptotic theory is presented to analyze perturbations of bifurcations of the solutions of nonlinear problems, which may result from imperfections, impurities, or other inhomogeneities in the corresponding physical problem.
Journal ArticleDOI
Thermal Explosions, Criticality and the Disappearance of Criticality in Systems with Distributed Temperatures. I. Arbitrary Biot Number and General Reaction-Rate Laws
TL;DR: In this paper, critical values for the Biot number and for the dimensionless central temperature excess have been evaluated for the whole range of Biot numbers from the uniform case (Semenov extreme, Bi $\rightarrow$ 0) to the Frank-Kamenetskii extreme (Bi $rightarrow\infty$).
Journal ArticleDOI
Non-linear heat generation and stability of the temperature distribution in conducting solids
TL;DR: In this article, the effect of non-linear dependence of resistance on temperature on the Joulean production of heat in electrically conducting systems is investigated and compared with well-known linear theories.
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