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Chemical Reaction Engineering and Reactor Technology, Second Edition Chemical Industries Founding Editor Heinz Heinemann Berkeley, California Series Editor James G. Speight The Chemical Industries Series offers in-depth texts related to all aspects of the chemical industries from experts and leaders in academia and industry. The titles explore recent developments and best practices that facilitate suc- cessful process control and commercialization of industrial processes and products to help meet changing market demands and match the stringent emission standards. The series focuses on technologies, process development improvements, and new applications to ensure proper performance in industrial units and evaluation of novel pro- cess designs that will result in production of valuable products from efficient and economical processes. Synthetics, Mineral Oils, and Bio-Based Lubricants Chemistry and Technology, Second Edition Leslie R. Rudnick Modeling of Processes and Reactors for Upgrading of Heavy Petroleum Jorge Ancheyta Synthetics, Mineral Oils, and Bio-Based Lubricants Chemistry and Technology, Second Edition Leslie R. Rudnick Transport Phenomena Fundamentals, Third Edition Joel Plawsky The Chemistry and Technology of Petroleum, Fifth Edition James G. Speight Refining Used Lubricating Oils James Speight and Douglas I. Exall Petroleum and Gas Field Processing, Second Edition Hussein K. Abdel-Aal, Mohamed A. Aggour, and Mohamed A. Fahim Handbook of Refinery Desulfurization Nour Shafik El-Gendy and James G. Speight Handbook of Petroleum Refining James G. Speight Advances in Refining Catalysis Deniz Uner Lubricant Additives Chemistry and Applications, Third Edition Leslie R. Rudnick Chemical Reaction Engineering and Reactor Technology, Second Edition Tapio Salmi, Jyri-Pekka Mikkola, Johan Wärnå For more information about this series, please visit: https: //www .crcp ress. com/C hemic al-In dustr ies/b ook-s eries / CRC CHEMI NDUS Chemical Reaction Engineering and Reactor Technology, Second Edition Tapio O. Salmi, Jyri-Pekka Mikkola, Johan P. Wärnå MATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This book’s use or discussion of MATLAB® software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® software. CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2018 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed on acid-free paper International Standard Book Number-13: 978-1-138-71250-8 (Hardback) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to pub- lish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged, please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http://www.copy- right.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Library of Congress Cataloging-in-Publication Data Names: Salmi, Tapio, author. | Mikkola, Jyri-Pekka, author. | Warna, John, author. Title: Chemical reaction engineering and reactor technology / Tapio Salmi, Jyri-Pekka Mikkola, John Warna. Description: Second edition. | Boca Raton : Taylor & Francis, a CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T&F Informa, plc, 2019. Identifiers: LCCN 2019006669 | ISBN 9781138712508 (hardback : alk. paper) Subjects: LCSH: Chemical reactions. | Chemical reactors. Classification: LCC TP157 .S25 2019 | DDC 660/.2832—dc23 LC record available at https://lccn.loc.gov/2019006669 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Preface............................................................................................................................................xiii Preface to Second Edition ................................................................................................................xv Author Biography ...........................................................................................................................xvii Notations .........................................................................................................................................xix Dimensionless Groups .................................................................................................................xxiii Greek Symbols ..............................................................................................................................xxiv Subscripts and Superscripts ..........................................................................................................xxvi Abbreviations ...............................................................................................................................xxvii Chapter 1 Introduction ..................................................................................................................1 1.1 Preliminary Studies ...........................................................................................2 1.1.1 Reaction Stoichiometry, Thermodynamics, and Synthesis Routes ......2 1.2 Laboratory Experiments ....................................................................................2 1.3 Analysis of the Experimental Results ...............................................................2 1.4 Simulation of Reactor Models ...........................................................................2 1.5 Installation of a Pilot-Plant Unit ........................................................................4 1.6 Construction of the Facility in Full Scale .........................................................4 References ....................................................................................................................5 Chapter 2 Stoichiometry and Kinetics ..........................................................................................7 2.1 Stoichiometric Matrix........................................................................................7 2.2 Reaction Kinetics ..............................................................................................9 2.2.1 Elementary Reactions .........................................................................10 2.2.2 Kinetics of Nonelementary Reactions: Quasi-Steady-State and Quasi-Equilibrium Approximations ............................................12 2.2.2.1 Ionic and Radical Intermediates .........................................15 2.2.2.2 Catalytic Processes: Eley–Rideal Mechanism ...................17 2.2.2.3 Catalytic Processes: Langmuir–Hinshelwood Mechanism......20 References ..................................................................................................................21 Chapter 3 Homogeneous Reactors ..............................................................................................23 3.1 Reactors for Homogeneous Reactions .............................................................23 3.2 Homogeneous Tube Reactor with a Plug Flow ................................................30 3.2.1 Mass Balance......................................................................................31 3.2.2 Energy Balance ..................................................................................32 3.3 Homogeneous Tank Reactor with Perfect Mixing ..........................................34 3.3.1 Mass Balance......................................................................................34 3.3.2 Energy Balance ..................................................................................35 3.4 Homogeneous BR ............................................................................................38 3.4.1 Mass Balance......................................................................................38 3.4.2 Energy Balance ..................................................................................39 3.5 Molar Amount, Mole Fraction, Reaction Extent, Conversion, and Concentration ..................................................................................................41 3.5.1 Definitions ..........................................................................................41 v vi Contents 3.5.2 Relation between Molar Amount, Extent of Reaction, Conversion, and Molar Fraction .........................................................44 3.5.2.1 A System with a Single Chemical Reaction .......................44 3.5.2.2 A System with Multiple Chemical Reactions .....................46 3.5.3 Relationship between Concentration, Extent of Reaction, Conversion, and Volumetric Flow Rate in a Continuous Reactor ......48 3.5.3.1 Gas-Phase Reactions ...........................................................48 3.5.3.2 Liquid-Phase Reactions ......................................................50 3.5.4 Relationship Between Concentration, Extent of Reaction, Conversion, and Total Pressure in a BR .............................................51 3.5.4.1 Gas-Phase Reactions ...........................................................52 3.5.4.2 Liquid-Phase Reactions ......................................................53 3.6 Stoichiometry in Mass Balances .....................................................................54 3.7 Equilibrium Reactor: Adiabatic Temperature Change ....................................58 3.7.1 Mass and Energy Balances ................................................................58 3.8 Analytical Solutions for Mass and Energy Balances ......................................60 3.8.1 Multiple Reactions ..............................................................................61 3.8.1.1 First-Order Parallel Reactions ............................................64 3.8.1.2 Momentaneous and Integral Yield for Parallel Reactions ......68 3.8.1.3 Reactor Selection and Operating Conditions for Parallel Reactions ...............................................................69 3.8.1.4 First-Order Consecutive Reactions .....................................71 3.8.1.5 Consecutive-Competitive Reactions ...................................75 3.8.1.6 Product Distributions in PFRs and BRs .............................76 3.8.1.7 Product Distribution in a CSTR .........................................78 3.8.1.8 Comparison of Ideal Reactors ............................................79 3.9 Numerical Solution of Mass Balances for Various Coupled Reactions ..........79 3.10 Semibatch Technology ....................................................................................82 3.10.1 Basic Semibatch Model ......................................................................82 3.10.2 Transition from Semibatch to Continuous Reactor ............................85 References ..................................................................................................................86 Chapter 4 Nonideal Reactors and Reactor Dynamics ................................................................89 4.1 Residence Time Distribution in Flow Reactors ...............................................89 4.1.1 Residence Time as a Concept .............................................................89 4.1.2 Methods for Determining RTDs ........................................................91 4.1.2.1 Volume Element ..................................................................91 4.1.2.2 Tracer Experiments .............................................................92 4.2 Residence Time Functions ...............................................................................92 4.2.1 Population Density Function E(t) .......................................................93 4.2.2 Distribution Functions F(t) and F*(t) .................................................95 4.2.3 Intensity Function λ(t) ........................................................................95 4.2.4 Mean Residence Time ........................................................................96 4.2.5 C Function ..........................................................................................96 4.2.6 Dimensionless Time ...........................................................................97 4.2.7 Variance..............................................................................................97 4.2.8 Experimental Determination of Residence Time Functions ..............97 4.2.9 RTD for a CSTR and PFR ................................................................101 4.2.10 RTD Intube Reactors with a Laminar Flow .....................................103 Contents vii 4.3 Segregation and Maximum Mixedness .........................................................106 4.3.1 Segregation Model ............................................................................107 4.3.2 Maximum Mixedness Model ...........................................................108 4.4 Tanks-in-Series Model ..................................................................................109 4.4.1 Residence Time Functions for the Tanks-in-Series Model ..............109 4.4.2 Tanks in Series as a Chemical Reactor ............................................112 4.4.3 Maximum Mixedness Tanks-in-Series Model .................................112 4.4.4 Segregated Tanks in Series ..............................................................113 4.4.5 Comparison of Tanks-in-Series Models ...........................................114 4.4.6 Existence of Micro- and Macrofluids ...............................................115 4.5 Axial Dispersion Model ................................................................................115 4.5.1 RTDs for the Axial Dispersion Model .............................................116 4.5.2 Axial Dispersion Model as a Chemical Reactor ..............................120 4.5.3 Estimation of the Axial Dispersion Coefficient ...............................122 4.6 Tube Reactor with a Laminar Flow ...............................................................125 4.6.1 Laminar Reactor Without Radial Diffusion ....................................125 4.6.2 Laminar Reactor with a Radial Diffusion: Axial Dispersion Model .............................................................................128 4.7 Mixing and Mass Transfer in Tank Reactors ................................................129 4.7.1 Selection of Stirring System .............................................................130 4.7.2 Power Input .......................................................................................131 4.7.3 Experimental Investigation of Mixing in Closed Tanks ..................133 4.8 Isothermal Reactor Dynamics .......................................................................134 4.8.1 Transient Plug Flow and Axial Dispersion Models .........................136 4.8.2 Transient Model for Continuous Stirred Tank Reactor ....................137 4.8.2.1 Solution of Balance Equations in Time Frame .................138 4.9 Nonisothermal Reactor Dynamics ................................................................140 4.9.1 Energy Balance for an Infinitesimal Volume Element for Plug Flow, Continuous Stirred Tank, and Batch Reactors .......................140 4.9.2 Dispersion of Heat in Tubular Reactors ...........................................144 4.9.3 Heat as a Tracer ................................................................................149 References ................................................................................................................150 Chapter 5 Catalytic Two-Phase Reactors ..................................................................................151 5.1 Reactors for Heterogeneous Catalytic Gas- and Liquid-Phase Reactions.....152 5.2 Packed Bed ....................................................................................................165 5.2.1 Mass Balances for the One-Dimensional Model .............................167 5.2.2 Effectiveness Factor .........................................................................169 5.2.2.1 Chemical Reaction and Diffusion inside a Catalyst Particle ..............................................................................169 5.2.2.2 Spherical Particle ..............................................................174 5.2.2.3 Slab ...................................................................................177 5.2.2.4 Asymptotic Effectiveness Factors for Arbitrary Kinetics ......179 5.2.2.5 Nonisothermal Conditions ................................................184 5.2.3 Energy Balances for the One-Dimensional Model ..........................188 5.2.4 Mass and Energy Balances for the Two-Dimensional Model ..........192 5.2.5 Pressure Drop in Packed Beds .........................................................198 5.3 Fluidized Bed ................................................................................................200 5.3.1 Mass Balances According to Ideal Models ......................................202 viii Contents 5.3.2 Kunii–Levenspiel Model for Fluidized Beds ...................................204 5.3.2.1 Kunii–Levenspiel Parameters ...........................................207 5.4 Parameters for Packed Bed and Fluidized Bed Reactors ..............................211 5.5 Evaluation of Mass Transfer Effects in Heterogeneous Catalysis .................213 5.5.1 General Tests for Mass Transfer and Catalyst Activity ....................214 5.5.2 Test for External Mass Transfer Resistance .....................................215 5.5.3 Criteria for Internal Mass Transfer Resistance ................................216 References ................................................................................................................220 Chapter 6 Catalytic Three-Phase Reactors ...............................................................................223 6.1 Reactors Used for Catalytic Three-Phase Reactions .....................................223 6.2 Mass Balances For Three-Phase Reactors ....................................................232 6.2.1 Mass Transfer and Chemical Reaction .............................................233 6.2.2 Three-Phase Reactors with a Plug Flow ..........................................235 6.2.3 Three-Phase Reactor with Complete Backmixing ...........................237 6.2.4 Semibatch and Batch Reactors (BRs) ...............................................238 6.2.5 Parameters in Mass Balance Equations ...........................................239 6.3 Energy Balances for Three-Phase Reactors ..................................................240 6.3.1 Three-Phase PFR .............................................................................240 6.3.2 Tank Reactor with Complete Backmixing .......................................241 6.3.3 Batch Reactor ...................................................................................242 6.3.4 Analytical and Numerical Solutions of Balance Equations for Three-Phase Reactors .......................................................................243 6.3.4.1 Sulfur Dioxide Oxidation .................................................243 6.3.4.2 Hydrogenation of Aromatics .............................................244 6.3.4.3 Carbonyl Group Hydrogenation .......................................246 References ................................................................................................................248 Chapter 7 Gas–Liquid Reactors ................................................................................................249 7.1 Reactors for Noncatalytic and Homogeneously Catalyzed Reactions ..........249 7.2 Mass Balances for Ideal Gas–Liquid Reactors .............................................256 7.2.1 Plug Flow Column Reactor ..............................................................258 7.2.2 Tank Reactor with Complete Backmixing .......................................261 7.2.3 Batch Reactor ...................................................................................262 7.2.4 Fluxes in Gas and Liquid Films .......................................................263 7.2.4.1 Very Slow Reactions .........................................................266 7.2.4.2 Slow Reactions ..................................................................268 7.2.4.3 Reactions with a Finite Velocity .......................................269 7.2.5 Fluxes in Reactor Mass Balances .....................................................281 7.2.6 Design of Absorption Columns ........................................................283 7.2.7 Gas and Liquid Film Coefficients, Diffusion Coefficients, and Gas–Liquid Equilibria ......................................................................286 7.3 Energy Balances for Gas–Liquid Reactors ...................................................287 7.3.1 Plug Flow Column Reactor ..............................................................288 7.3.2 Tank Reactor with Complete Backmixing .......................................289 7.3.3 Batch Reactor ...................................................................................290 7.3.4 Coupling of Mass and Energy Balances ..........................................291 7.3.5 Numerical Solution of Gas–Liquid Reactor Balances .....................291 References ................................................................................................................293 Contents ix Chapter 8 Reactors for Reactive Solids .....................................................................................295 8.1 Reactors for Processes with Reactive Solids .................................................295 8.2 Models for Reactive Solid Particles ...............................................................298 8.2.1 Definitions ........................................................................................298 8.2.2 Product Layer Model ........................................................................301 8.2.2.1 First-Order Reactions .......................................................305 8.2.2.2 General Reaction Kinetics: Diffusion Resistance as the Rate-Determining Step ...............................................307 8.2.3 Shrinking Particle Model .................................................................307 8.2.3.1 First-Order Reactions .......................................................308 8.2.3.2 Arbitrary Reaction Kinetics: Diffusion Resistance in the Gas Film as the Rate-Determining Step .....................311 8.3 Mass Balances for Reactors Containing a Solid Reactive Phase ..................311 8.3.1 Batch Reactor ...................................................................................311 8.3.1.1 Particles with a Porous Product Layer ..............................312 8.3.1.2 Shrinking Particles ...........................................................314 8.3.2 Semibatch Reactor ............................................................................316 8.3.2.1 Particle with a Porous Product Layer ...............................316 8.3.2.2 Shrinking Particle .............................................................317 8.3.3 Packed Bed .......................................................................................317 8.4 Models for Nonideal Solid Surfaces ..............................................................318 8.4.1 Product Layer Model for Nonideal Particles ....................................319 8.4.1.1 Diffusion through the Product Layer ................................320 8.4.1.2 Events at the Reaction Surface .........................................323 8.4.2 Shrinking Particle Model .................................................................324 8.4.2.1 Interaction of Chemical Reaction and Diffusion ..............324 8.4.3 Analytical Solution of the Models for Some Specific Kinetics .......325 8.4.3.1 Product Layer Model ........................................................325 8.4.3.2 Shrinking Particle Model .................................................326 8.4.3.3 Summary ..........................................................................326 8.4.4 Mass Transfer Parameters ................................................................326 8.4.4.1 Diffusion Coefficients .......................................................326 8.4.4.2 Fluid–Solid Mass Transfer Coefficients ...........................327 8.4.5 Reaction Area and Reaction Order with Respect to the Solid Component .......................................................................................328 8.4.6 Batch Reactor Modeling ...................................................................330 References ................................................................................................................334 Chapter 9 Toward New Reactor and Reaction Engineering .....................................................335 9.1 How to Approach the Modeling of Novel Reactor Concepts? ......................335 9.2 Reactor Structures and Operation Modes .....................................................336 9.2.1 Reactors with Catalyst Packings ......................................................337 9.2.1.1 Mass Balances for the Gas and Liquid Bulk Phases ........338 9.2.1.2 Interfacial Transport .........................................................339 9.2.1.3 Mass Balances for the Catalyst Particles ..........................340 9.2.1.4 Numerical Solution of the Column Reactor Model ..........341 9.2.1.5 Concluding Summary .......................................................342 9.2.2 Monolith Reactors ............................................................................343 9.2.2.1 Flow Distribution from CFD Calculations .......................344

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