Advances in Chemical Engineering - Mathematics in Chemical Kinetics and Engineering

Author(s):  
John Ross ◽  
Igor Schreiber ◽  
Marcel O. Vlad

Chemical kinetics as a science has existed for more than a century. It deals with the rates of reactions and the details of how a given reaction proceeds from reactants to products. In a chemical system with many chemical species, there are several questions to be asked: What species react with what other species? In what temporal order? With what catalysts? And with what results? The answers constitute the macroscopic reaction mechanism. The process can be described macroscopically by listing the reactants, intermediates, products, and all the elementary reactions and catalysts in the reaction system. The present book is a treatise and text on the determination of complex reaction mechanisms in chemistry and in chemical reaction systems that occur in chemical engineering, biochemistry, biology, biotechnology, and genomics. A basic knowledge of chemical kinetics is assumed. Several approaches are suggested for the deduction of information on the causal chemical connectivity of the species, on the elementary reactions among the species, and on the sequence of the elementary reactions that constitute the reaction pathway and the reaction mechanism. Chemical reactions occur by the collisions of molecules, and such an event is called an elementary reaction for specified reactant and product molecules. A balanced stoichiometric equation for an elementary reaction yields the number of each type of molecule according to conservation of atoms, mass, and charge. Figure 1.1 shows a relatively simple reaction mechanism for the decomposition of ozone by light, postulated to occur in a series of three elementary steps. (The details of collisions of molecules and bond rearrangements are not discussed.) All approaches are based on the measurements of the concentrations of chemical species in the whole reaction system, not on parts, as has been the practice. One approach is called the pulse method, in which a pulse of concentration of one or more species of arbitrary strength is applied to a reacting system and the responses of as many species as possible are measured. From these responses causal chemical connectivities may be inferred. The basic theory is explained, demonstrated on a model mechanism, and tested in an experiment on a part of glycolysis.


2018 ◽  
Vol 19 (2) ◽  
pp. 617-628 ◽  
Author(s):  
Kinsey Bain ◽  
Jon-Marc G. Rodriguez ◽  
Alena Moon ◽  
Marcy H. Towns

Chemical kinetics is a highly quantitative content area that involves the use of multiple mathematical representations to model processes and is a context that is under-investigated in the literature. This qualitative study explored undergraduate student integration of chemistry and mathematics during problem solving in the context of chemical kinetics. Using semi-structured interviews, participants were asked to make their reasoning and thinking explicit as they described provided equations and as they worked though chemical kinetics problems. Here we describe the results from our study, which included thirty-six general chemistry students, five physical chemistry students, and three chemical engineering students. Analysis and findings are framed in terms of blended processing, a theory from cognitive science that characterizes human knowledge integration. Themes emerged relating to contexts that were commonly discussed when blending occurred. Variation in the depth and directionality of blending was also observed and characterized. Results provide implications for supporting student problem solving and the modeling of chemical processes.


Author(s):  
Jacob A. Moulijn ◽  
Javier Perez-Ramirez ◽  
Annelies van Diepen ◽  
Michiel T. Kreutzer ◽  
Freek Kapteijn

The relevance of levels in space and time for chemical engineering are discussed. Catalysis Engineering is introduced as an emerging new discipline. In Catalysis Engineering three levels can be distinguished: the microlevel focusing on molecules and catalytic sites, the mesolevel focusing on the catalyst particle and the catalytic reactor, and the macrolevel considering the process as an integrated entity. On the level of particle and reactor fascinating developments are visible in the field of structuring of the space. A good example is the monolithic reactor. With the hydrogenation of alpha-methylstyrene as an example, it will be shown that structured reactors allow decoupling of hydrodynamics and chemical kinetics. This implies an extra degree of freedom. From a chemical engineering point of view the intrinsic scaleability of these reactors is intriguing. A case study on nitrous oxide abatement exemplifies the three-level catalysis engineering approach.


2008 ◽  
Vol 3 (2) ◽  
Author(s):  
Surendra Kumar

Coimbatore Institute of Technology, India, organized an International Conference on Modeling and Simulation (CITICOMS 2007) during August 27–29, 2007. The conference covered research works on modeling & simulation in a large number of diverse disciplines viz., biotechnology, chemical engineering, mechanical engineering, civil engineering, mathematics and nanotechnology, electrical engineering, electronic engineering and computer engineering.This special issue presents a set of nine selected research papers, which have undergone the peer-review process of the journal of Chemical Product and Process Modeling. Although these papers do not cover the entire gamut of modeling and simulation activities, they certainly present interesting and useful topics. In particular these topics include the black box modeling approach for identification of nonlinear systems, kinetic modeling of the adsorptive removal of toxic and hazardous pollutants from wastewaters, analysis and modeling of homogeneous tubular reactors, monolithic catalytic converters, and a constitutive model equation for the rheological behaviour of three phase polymer blends or so called double emulsions.


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