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A guide to the theoretical underpinnings and practical applications of chemically reacting flow
Chemically Reacting Flow: Theory, Modeling, and Simulation, Second Edition combines fundamental concepts in fluid mechanics and physical chemistry while helping students and professionals to develop the analytical and simulation skills needed to solve real-world engineering problems. The authors clearly explain the theoretical and computational building blocks enabling readers to extend the approaches described to related or entirely new applications. New to this Second Edition are substantially revised and reorganized coverage of topics treated in the first edition. New material in the book includes two important areas of active research: reactive porous-media flows and electrochemical kinetics. These topics create bridges between traditional fluid-flow simulation approaches and transport within porous-media electrochemical systems.
The first half of the book is devoted to multicomponent fluid-mechanical fundamentals. In the second half the authors provide the necessary fundamental background needed to couple reaction chemistry into complex reacting-flow models. Coverage of such topics is presented in self-contained chapters, allowing a great deal of flexibility in course curriculum design.
• Features new chapters on reactive porous-media flow, electrochemistry, chemical thermodynamics, transport properties, and solving differential equations in MATLAB
• Provides the theoretical underpinnings and practical applications of chemically reacting flow
• Emphasizes fundamentals, allowing the analyst to understand fundamental theory underlying reacting-flow simulations
• Helps readers to acquire greater facility in the derivation and solution of conservation equations in new or unusual circumstances
• Reorganized to facilitate use as a class text and now including a solutions manual for academic adopters
Computer simulation of reactive systems is highly efficient and cost-effective in the development, enhancement, and optimization of chemical processes. Chemically Reacting Flow: Theory, Modeling, and Simulation, Second Edition helps prepare graduate students in mechanical or chemical engineering, as well as research professionals in those fields take utmost advantage of that powerful capability.
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Veröffentlichungsjahr: 2017
Second Edition
Robert J. Kee
Colorado School of Mines
Michael E. Coltrin
Sandia National Laboratories
Peter Glarborg
Technical University of Denmark
Huayang Zhu
Colorado School of Mines
This edition first published 2018 © 2018 by John Wiley & Sons, Inc
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, except as permitted by law. Advice on how to obtain permission to reuse material from this title is available at http://www.wiley.com/go/permissions.
The right of Robert J. Kee, Michael E. Coltrin, Peter Glarborg, Huayang Zhu to be identified as the authors of this work has been asserted in accordance with law.
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Library of Congress Cataloging-in-Publication Data
Names: Kee, R. J., author. | Coltrin, Michael Elliott, 1953- author. | Glarborg, Peter, author. | Zhu, Huayang, author. Title: Chemically reacting flow : theory, modeling, and simulation / Robert J. Kee, Michael E. Coltrin, Peter Glarborg, Huayang Zhu. Description: Second edition. | Hoboken, NJ : John Wiley & Sons, 2017. | Includes index. | Identifiers: LCCN 2017011676 (print) | LCCN 2017018820 (ebook) | ISBN 9781119186281 (pdf) | ISBN 9781119186298 (epub) | ISBN 9781119184874 (cloth) Subjects: LCSH: Transport theory. | Fluid dynamics. | Thermodynamics. Classification: LCC TP156.T7 (ebook) | LCC TP156.T7 K44 2017 (print) | DDC 660/.299–dc23 LC record available at https://lccn.loc.gov/2017011676
Cover Design and Images: Courtesy of Robert and Judy Kee
We dedicate this book to aclose friend and highlyvalued colleague, Prof.David G. Goodwin(1957-2012) of Caltech.
PREFACE
ACKNOWLEDGMENTS
NOMENCLATURE
Greek Symbols
CHAPTER 1 INTRODUCTION
1.1 Foregoing Texts
1.2 Objectives and Approach
1.3 What is a Fluid?
1.4 Chemically Reacting Fluid Flow
1.5 Physical Chemistry
1.6 Illustrative Examples
References
CHAPTER 2 FLUID PROPERTIES
2.1 Equations of State
2.2 Thermodynamics
2.3 Transport Properties
References
CHAPTER 3 FLUID KINEMATICS
3.1 Path to Conservation Equations
3.2 System and Control Volume
3.3 Stress and Strain Rate
3.4 Fluid Strain Rate
3.5 Vorticity
3.6 Dilatation
3.7 Stress Tensor
3.8 Stokes Postulates
3.9 Transformation from Principal Coordinates
3.10 Stokes Hypothesis
3.11 Summary
Notes
CHAPTER 4 CONSERVATION EQUATIONS
4.1 Mass Continuity
4.2 Navier-Stokes Equations
4.3 Species Diffusion
4.4 Species Conservation
4.5 Conservation of Energy
4.6 Mechanical Energy
4.7 Thermal Energy
4.8 Ideal Gas and Incompressible Fluid
4.9 Conservation Equation Summary
4.10 Pressure Filtering
4.11 Helmholtz Decomposition
4.12 Potential Flow
4.13 Vorticity Transport
4.14 Mathematical Characteristics
4.15. Summary
References
CHAPTER 5 PARALLEL FLOWS
5.1 Nondimensionalization
5.2 Couette and Poiseuille Flows
5.3 Hagen–Poiseuille Flow in a Circular Duct
5.4 Ducts of Noncircular Cross Section
5.5 Hydrodynamic Entry Length
5.6 Transient Flow in a Duct
5.7 Richardson Annular Overshoot
5.8 Stokes Problems
5.9 Rotating Shaft in Infinite Media
5.10 Graetz Problem
References
CHAPTER 6 SIMILARITY AND LOCAL SIMILARITY
6.1 Jeffery–Hamel Flow
6.2 Planar Wedge Channel
6.3 Radial-Flow Reactors
6.4 Spherical Flow between Inclined Disks
6.5 Radial Flow between Parallel Disks
6.6 Flow between Plates with Wall Injection
References
CHAPTER 7 STAGNATION FLOWS
7.1 Similarity in Axisymmetric Stagnation Flow
7.2 Generalized Steady Axisymmetric Stagnation Flow
7.3 Semi-Infinite Domain
7.4 Finite-Gap Stagnation Flow
7.5 Finite-Gap Numerical Solution
7.6 Rotating Disk
7.7 Rotating Disk in a Finite Gap
7.8 Unified View of Axisymmetric Stagnation Flow
7.9 Planar Stagnation Flows
7.10 Opposed Flow
7.11 Tubular Flows
7.12 Stagnation-Flow Chemical Vapor Deposition
7.13 Boundary-Layer Bypass
References
CHAPTER 8 BOUNDARY-LAYER CHANNEL FLOW
8.1 Scaling Arguments for Boundary Layers
8.2 General Setting Boundary-Layer Equations
8.3 Boundary Conditions
8.4 Computational Solution
8.5 Introduction to the Method of Lines
8.6 Method-of-Lines Boundary-Layer Algorithm
8.7 Von Mises Transformation
8.8 Von Mises Formulation as DAEs
8.9 Hydrodynamic Entry Length
8.10 Physical and von Mises Coordinates
8.11 General von Mises Boundary Layer
8.12 Limitations
8.13 Chemically Reacting Channel Flow
References
CHAPTER 9 LOW-DIMENSIONAL REACTORS
9.1 Batch Reactors (Homogeneous Mass-Action Kinetics)
9.2 Plug-Flow Reactor
9.3 Plug Flow with Porous Walls
9.4 Plug Flow with Variable Area and Surface Chemistry
9.5 Perfectly Stirred Reactors
9.6 Transient Stirred Reactors
9.7 Stagnation-Flow Catalytic Reactor
Notes
References
CHAPTER 10 THERMOCHEMICAL PROPERTIES
10.1 Kinetic Theory of Gases
10.2 Molecular Energy Levels
10.3 Partition Function
10.4 Statistical Thermodynamics
10.5 Example Calculations
References
CHAPTER 11 MOLECULAR TRANSPORT
11.1 Introduction to Transport Coefficients
11.2 Molecular Interactions
11.3 Kinetic Gas Theory of Transport Properties
11.4 Rigorous Theory of Transport Properties
11.5 Evaluation of Transport Coefficients
11.6 Momentum and Energy Fluxes
11.7 Species Fluxes
11.8 Diffusive Transport Example
Notes
References
CHAPTER 12 MASS-ACTION KINETICS
12.1 Gibbs Free Energy
12.2 Equilibrium Constant
12.3 Mass-Action Kinetics
12.4 Pressure-Dependent Unimolecular Reactions
12.5 Bimolecular Chemical Activation Reactions
Notes
References
CHAPTER 13 REACTION RATE THEORIES
13.1 Molecular Collisions
13.2 Collision Theory Reaction Rate Expression
13.3 Transition-State Theory
13.4 Unimolecular Reactions
13.5 Bimolecular Chemical Activation Reactions
References
CHAPTER 14 REACTION MECHANISMS
14.1 Models for Chemistry
14.2 Characteristics of Complex Reactions
14.3 Mechanism Development
14.4 Combustion Chemistry
Notes
References
CHAPTER 15 LAMINAR FLAMES
15.1 Premixed Flat Flame
15.2 Premixed Flame Structure
15.3 Methane-Air Premixed Flame
15.4 Stagnation Flames
15.5 Opposed-Flow Diffusion Flames
15.6 Premixed Counterflow Flames
15.7 Arc-Length Continuation
Note
References
CHAPTER 16 HETEROGENEOUS CHEMISTRY
16.1 Taxonomy
16.2 Surface Species Naming Conventions
16.3 Concentrations within Phases
16.4 Surface Reaction Rate Expressions
16.5 Thermodynamic Considerations
16.6 General Surface Kinetics Formalism
16.7 Surface-Coverage Modification of the Rate Expression
16.8 Sticking Coefficients
16.9 Flux-Matching Conditions at a Surface
16.10 Surface Species Governing Equations
16.11 Developing Surface Reaction Mechanisms
16.12 Example Reaction Mechanism
Notes
References
CHAPTER 17 REACTIVE POROUS MEDIA
17.1 Introduction
17.2 Pore Characterization
17.3 Multicomponent Transport
17.4 Mass Conservation Equations
17.5 Energy Conservation Equations
17.6 Tubular Packed-Bed Reactor
17.7 Reconstructed Microstructures
17.8 Intra-Particle Pore Diffusion
References
CHAPTER 18 ELECTROCHEMISTRY
18.1 Electrochemical Reactions
18.2 Electrochemical Potentials
18.3 Electrochemical Thermodynamics and Reversible Potentials
18.4 Electrochemical Kinetics
18.5 Electronic and Ionic Species Transport
18.6 Modeling Electrochemical Unit Cells
18.7 Principles of Composite SOFC Electrodes
18.8 SOFC Button-Cell Example
18.9 Chemistry and Model Development
References
APPENDIX A VECTOR AND TENSOR OPERATIONS
A.1 Vector Algebra
A.2 Unit Vector Algebra
A.3 Unit Vector Derivatives
A.4 Scalar Product
A.5 Vector Product
A.6 Vector Differentiation
A.7 Gradient
A.8 Gradient of a Vector
A.9 Curl of a Vector
A.10 Divergence of a Vector
A.11 Divergence of a Tensor
A.12 Laplacian
A.13 Laplacian of a Vector
A.14 Vector Derivative Identities
A.15 Gauss Divergence Theorem
A.16 Substantial Derivative
A.16.1 Substantial Derivative of a Vector
A.17 Symmetric Tensors
A.18 Stress Tensor and Stress Vector
A.19 Direction Cosines
A.20 Coordinate Transformations
A.21 Principal Axes
A.22 Tensor Invariants
A.23 Matrix Diagonalization
APPENDIX B NAVIER–STOKES EQUATIONS
B.1 General Vector Form
B.2 Stress Components
B.3 Cartesian Navier–Stokes Equations
B.4 Cartesian Navier–Stokes, Constant Viscosity
B.5 Cylindrical Navier–Stokes Equations
B.6 Cylindrical Navier–Stokes, Constant Viscosity
B.7 Spherical Navier–Stokes Equations
B.8 Spherical Navier–Stokes, Constant viscosity
B.9 Orthogonal Curvilinear Navier–Stokes
APPENDIX C EXAMPLE IN GENERAL CURVILINEAR COORDINATES
C.1 Governing Equations
APPENDIX D SMALL PARAMETER EXPANSION
APPENDIX E BOUNDARY-LAYER ASYMPTOTIC BEHAVIOR
E.1 Boundary-Layer Approximation
E.2 A Prototype for Boundary-Layer Behavior
APPENDIX F COMPUTATIONAL ALGORITHMS
F.1 Differential Equations from Chemical Kinetics
F.2 Stiff Model Problem
F.3 Solution Methods
F.4 Differential-Algebraic Equations
F.5 Solution of Nonlinear Algebraic Equations
F.6 Continuation Procedures
F.7 Transient Sensitivity Analysis
F.8 Transient Ignition Example
References
APPENDIX G MATLAB EXAMPLES
G.1 Steady-State Couette–Poiseuille Flow
G.2 Steady Semi-Infinite Stagnation Flow
G.3 Steady Finite-Gap Stagnation Flow
G.4 Transient Stokes Problem
G.5 Graetz Problem
G.6 Channel Boundary Layer Entrance
G.7 Rectangular Channel Friction Factor
INDEX
EULA
Chapter 2
Table 2.1
Chapter 7
Table 7.1
Table 7.2
Chapter 10
Table 10.1
Chapter 11
Table 11.1
Table 11.2
Chapter 12
Table 12.1
Chapter 14
Table 14.1
Table 14.2
Chapter 16
Table 16.1
Chapter 17
Table 17.1
Chapter 18
Table 18.1
Cover
Table of Contents
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