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
Reads0
Chats0
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
More filters
Journal ArticleDOI
Non-isothermal Processes and Methods of Investigation in the Chemistry and Mechanics of Polymers
TL;DR: In this paper, the authors discuss kinetic processes relevant to the chemistry and the mechanics of polymers in which the internal evolution of heat (due to exothermic reactions or to dissipative deformation) exceeds the ability of the system to transfer heat to its surroundings, so that the chemical reaction or the mechanical process occurs under nonisothermal conditions at a rate which is dependent on temperature.
Journal ArticleDOI
A finite integral transform technique for solving the diffusion-reaction equation with Michaelis-Menten kinetics
Duong D. Do,Paul F. Greenfield +1 more
TL;DR: In this paper, an approximate analytical technique employing a finite integral transform was developed to solve the reaction diffusion problem with Michaelis-Menten kinetics in a solid of general shape, and a simple infinite series solution for the substrate concentration was obtained as a function of the Thiele modulus, modified Sherwood number, and Michaelis constant.
Book ChapterDOI
Direct Methods for The Computation of a Nonsimple Turning Point Corresponding to a Cusp
Dirk Roose,Renaat Caluwaerts +1 more
TL;DR: A method is presented for the numerical computation of a double turning point of a nonlinear operator equation depending on two Parameters, which corresponds to a cusp catastrophe, and the imple-mentation of this method in the case of differential equations and integral equations.
Journal ArticleDOI
Theory of chemical displacement reactors
References
More filters
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