Journal ArticleDOI
Modeling of chemical reactors — XVI Steady state axial heat and mass transfer in tubular reactors An analysis of the uniqueness of solutions
V. Hlavácˇek,Hanns Hofmann +1 more
TLDR
In this article, a new technique is presented which, for the parameter study of a problem, enables one to transform the boundary value problem to the initial value problem and different criteria for testing of uniqueness and multiplicity respectively are discussed.About:
This article is published in Chemical Engineering Science.The article was published on 1970-01-01. It has received 103 citations till now. The article focuses on the topics: Initial value problem & Boundary value problem.read more
Citations
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Journal ArticleDOI
Dynamic modelling of a gas phase catalytic fixed-bed reactor—I: Experimental apparatus and determination of reaction kinetics
TL;DR: In this paper, a large scale fixed bed pilot reactor for performing dynamic experiments is described, which is especially designed to suppress secondary dispersion effects not characteristic for the packed bed itself. But for dynamic modelling the exact reaction mechanism is not needed.
Journal ArticleDOI
Multiplicity and stability of premixed laminar flames: an application of bifurcation theory
TL;DR: In this article, numerical bifurcation techniques are used to describe multiple steady states for a premixed, laminar flame stabilized on a flat flame burner, and three steady states are identified: a stable upper state corresponding to a flame burning at or near the adiabatic flame temperature, a lower solution representing an extinguished stable state and an unstable intermediate state.
Journal ArticleDOI
Modeling of chemical reactors—XXI effect of simultaneous heat and mass transfer inside and outside of a pellet on reaction rate—I☆
V. Hlaváček,M. Kubíček +1 more
TL;DR: In this article, a simple approximation is described making it possible to evaluate the dependence between effectiveness factor η and Thiele parameter φ for simultaneous heat and mass transfer outside and within a porous catalytic particle.
Book ChapterDOI
Mathematical modelling, parameter identification and adaptive control of single cell protein processes in tower loop bioreactors
TL;DR: The tower loop reactor has successfully been applied for production of single cell protein (SCP) and for an improved economical operation of these processes — and other applications of this type of reactors — a detailed mathematical modelling is necessary.
Journal ArticleDOI
Engineering aspects of gas-liquid catalytic reactions
Sergio Carra,Elio Santacesaria +1 more
TL;DR: The modeling of a reaction unit in which the absorption of a gas is associated with a liquid-phase catalytic reaction is a difficult problem in which both chemical and fluodynamic factors are involved as mentioned in this paper.
References
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Journal ArticleDOI
On stability criteria of chemical reaction engineering
TL;DR: In this paper, the analogy between the stirred tank reactor and the catalyst particle is used to introduce some of the recent techniques of stability analysis in as simple a way as possible, and the relationship between various classes of criteria for uniqueness and stability is developed and interpretations of the less obvious criteria are given.
Journal ArticleDOI
Criticality Criteria for Various Configurations of a Self‐Heating Chemical as Functions of Activation Energy and Temperature of Assembly
TL;DR: In this paper, it was shown that the value of the F•K criticality criterion is a slowly varying function of E/RT0 in the range from infinity to 30 but becomes a sensitive function for values of E /RT0 less than 30.
Journal ArticleDOI
Numerical solution of nonlinear two-point boundary problems by finite difference methods
TL;DR: This paper gives examples and discusses the finite difference method for nonlinear two-point boundary-value problems and the easiest method of attacking these problems, shooting techniques.
Journal ArticleDOI
Stabiles und instabiles Verhalten eines adiabatischen Rohrreaktors am Beispiel der katalytischen CO-Oxydation
G. Padberg,E. Wicke +1 more
TL;DR: In this article, the theoretischen Ansaatze zur behandlung des Stabilitatsproblems bei exothermen reaktionen in Stromungsrohen konnen als Einzelpartikel-Theorie and als Ruckvermischungstheorie gekennzeichnet werden.
Journal ArticleDOI
Uniqueness of the steady state solutions for chemical reactor occurring in a catalyst particle or in a tubular reaction with axial diffusion
Dan Luss,Neal R. Amundson +1 more
TL;DR: In this paper, it was shown that for any reaction mixture the possibility of multiple steady states can usually be eliminated by use of small catalyst particles, or a dilute mixture, and that in this case one can usually guarantee a unique steady state by using either a small reaction mixture or a short reactor.
Related Papers (5)
Modeling of chemical reactors — XVII Steady state axial heat and mass transfer in tubular reactors Numerical investigation of multiplicity
V. Hlavácˇek,Hanns Hofmann +1 more
Uniqueness of the steady state solutions for chemical reactor occurring in a catalyst particle or in a tubular reaction with axial diffusion
Dan Luss,Neal R. Amundson +1 more