
Advanced Data Analysis and Modelling in Chemical Engineering
- 1st Edition - August 23, 2016
- Imprint: Elsevier
- Authors: Denis Constales, Gregory S. Yablonsky, Dagmar R. D'hooge, Joris W. Thybaut, Guy B. Marin
- Language: English
- Hardback ISBN:9 7 8 - 0 - 4 4 4 - 5 9 4 8 5 - 3
- eBook ISBN:9 7 8 - 0 - 4 4 4 - 5 9 4 8 4 - 6
Advanced Data Analysis and Modeling in Chemical Engineering provides the mathematical foundations of different areas of chemical engineering and describes typical applicati… Read more

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Request a sales quoteAdvanced Data Analysis and Modeling in Chemical Engineering provides the mathematical foundations of different areas of chemical engineering and describes typical applications. The book presents the key areas of chemical engineering, their mathematical foundations, and corresponding modeling techniques.
Modern industrial production is based on solid scientific methods, many of which are part of chemical engineering. To produce new substances or materials, engineers must devise special reactors and procedures, while also observing stringent safety requirements and striving to optimize the efficiency jointly in economic and ecological terms. In chemical engineering, mathematical methods are considered to be driving forces of many innovations in material design and process development.
- Presents the main mathematical problems and models of chemical engineering and provides the reader with contemporary methods and tools to solve them
- Summarizes in a clear and straightforward way, the contemporary trends in the interaction between mathematics and chemical engineering vital to chemical engineers in their daily work
- Includes classical analytical methods, computational methods, and methods of symbolic computation
- Covers the latest cutting edge computational methods, like symbolic computational methods
Chemical engineers and researchers; PhD students, mathematicians working on topics related to chemical engineering/chemistry
- Preface
- Our Team
- Chapter 1: Introduction
- Abstract
- 1.1 Chemistry and Mathematics: Why They Need Each Other
- 1.2 Chemistry and Mathematics: Historical Aspects
- 1.3 Chemistry and Mathematics: New Trends
- 1.4 Structure of This Book and Its Building Blocks
- Chapter 2: Chemical Composition and Structure: Linear Algebra
- Abstract
- 2.1 Introduction
- 2.2 The Molecular Matrix and Augmented Molecular Matrix
- 2.3 The Stoichiometric Matrix
- 2.4 Horiuti Numbers
- 2.5 Summary
- Appendix The RREF in Python
- Chapter 3: Complex Reactions: Kinetics and Mechanisms – Ordinary Differential Equations – Graph Theory
- Abstract
- 3.1 Primary Analysis of Kinetic Data
- 3.2 Material Balances: Extracting the Net Rate of Production
- 3.3 Stoichiometry: Extracting the Reaction Rate From the Net Rate of Production
- 3.4 Distinguishing Kinetic Dependences Based on Patterns and Fingerprints
- 3.5 Ordinary Differential Equations
- 3.6 Graph Theory in Chemical Kinetics and Chemical Engineering
- Chapter 4: Physicochemical Principles of Simplification of Complex Models
- Abstract
- 4.1 Introduction
- 4.2 Physicochemical Assumptions
- 4.3 Mathematical Concepts of Simplification in Chemical Kinetics
- Chapter 5: Physicochemical Devices and Reactors
- Abstract
- 5.1 Introduction
- 5.2 Basic Equations of Diffusion Systems
- 5.3 Temporal Analysis of Products Reactor: A Basic Reactor-Diffusion System
- 5.4 TAP Modeling on the Laplace and Time Domain: Theory
- 5.5 TAP Modeling on the Laplace and Time Domain: Examples
- 5.6 Multiresponse TAP Theory
- 5.7 The Y Procedure: Inverse Problem Solving in TAP Reactors
- 5.8 Two- and Three-Dimensional Modeling
- 5.9 TAP Variations
- 5.10 Piecewise Linear Characteristics
- 5.11 First- and Second-Order Nonideality Corrections in the Modeling of Thin-Zone TAP Reactors
- Chapter 6: Thermodynamics
- Abstract
- 6.1 Introduction
- 6.2 Chemical Equilibrium and Optimum
- 6.3 Is It Possible to Overshoot an Equilibrium?
- 6.4 Equilibrium Relationships for Nonequilibrium Chemical Dependences
- 6.5 Generalization. Symmetry Relations and Principle of Detailed Balance
- 6.6 Predicting Kinetic Dependences Based on Symmetry and Balance
- 6.7 Symmetry Relations for Nonlinear Reactions
- Appendix
- Chapter 7: Stability of Chemical Reaction Systems
- Abstract
- 7.1 Stability—General concept
- 7.2 Thermodynamic Lyapunov Functions
- 7.3 Multiplicity of Steady States in Nonisothermal Systems
- 7.4 Multiplicity of Steady States in Isothermal Heterogeneous Catalytic Systems
- 7.5 Chemical Oscillations in Isothermal Systems
- 7.6 General Procedure for Parametric Analysis
- Chapter 8: Optimization of Multizone Configurations
- Abstract
- 8.1 Reactor Model
- 8.2 Maximizing the Conversion
- 8.3 Optimal Positions of Thin Active Zones
- 8.4 Numerical Experiments in Computing Optimal Active Zone Configurations
- 8.5 Equidistant Configurations of the Active Zones
- Chapter 9: Experimental Data Analysis: Data Processing and Regression
- Abstract
- 9.1 The Least-Squares Criterion
- 9.2 The Newton-Gauss Algorithm
- 9.3 Search Methods From Optimization Theory
- 9.4 The Levenberg-Marquardt Compromise
- 9.5 Initial Estimates
- 9.6 Properties of the Estimating Vector
- 9.7 Temperature Dependence of the Kinetic Parameters k and Ki
- 9.8 Genetic Algorithms
- Chapter 10: Polymers: Design and Production
- Abstract
- Acknowledgments
- 10.1 Introduction
- 10.2 Microscale Modeling Techniques
- 10.3 Macroscale Modeling Techniques
- 10.4 Extension Toward Heterogeneous Polymerization in Dispersed Media
- 10.5 Extension Toward Heterogeneous Polymerization With Solid Catalysts
- 10.6 Conclusions
- Chapter 11: Advanced Theoretical Analysis in Chemical Engineering: Computer Algebra and Symbolic Calculations
- Abstract
- 11.1 Critical Simplification
- 11.2 “Kinetic Dance”: One Step Forward—One Step Back
- 11.3 Intersections and Coincidences
- Index
- Edition: 1
- Published: August 23, 2016
- No. of pages (Hardback): 414
- No. of pages (eBook): 414
- Imprint: Elsevier
- Language: English
- Hardback ISBN: 9780444594853
- eBook ISBN: 9780444594846
DC
Denis Constales
GY
Gregory S. Yablonsky
DD
Dagmar R. D'hooge
JT
Joris W. Thybaut
GM