Attainable Region Theory

Preface xi Acknowledgments xiii Prior Knowledge xiv How this book is Structured xv Software and Companion Website xvii Nomenclature xix SECTION I BASIC THEORY 1 1 Introduction 3 1.1 Introduction 3 1.2 Motivation 3 1.3 Reactor Network Synthesis 8 1.4 Solving the Reactor Network Synthesis Problem 12 1.5 Chapter Review 16 References 17 2 Concentration and Mixing 19 2.1 Introduction 19 2.2 Concentration Vectors and Dimension 23 2.3 Mixing 28 2.4 Chapter Review 47 References 47 3 The Attainable Region 49 3.1 Introduction 49 3.2 A Mixing and Reaction Game 49 3.3 The AR 57 3.4 Elementary Properties of the AR 58 3.5 Chapter Review 61 References 61 4 Reaction 63 4.1 Introduction 63 4.2 Reaction Rates and Stoichiometry 63 4.3 Reaction from a Geometric Viewpoint 66 4.4 Three Fundamental Continuous Reactor Types 73 4.5 Summary 102 4.6 Mixing Temperatures 102 4.7 Additional Properties of the AR 105 4.8 Chapter Review 106 References 107 5 Two-Dimensional Constructions 109 5.1 Introduction 109 5.2 A Framework for Tackling AR Problems 109 5.3 Two-Dimensional Van De Vusse Kinetics 110 5.4 Multiple CSTR Steady States and ISOLAS 125 5.5 Constructions in Residence Time Space 131 5.6 Chapter Review 141 References 141 SECTION II EXTENDED TOPICS 143 6 Higher Dimensional AR Theory 145 6.1 Introduction 145 6.2 Dimension and Stoichiometry 146 6.3 The Three Fundamental Reactor Types Used in AR Theory 159 6.4 Critical DSRs and CSTRs 166 6.5 Chapter Review 189 References 190 7 Applications of AR Theory 191 7.1 Introduction 191 7.2 Higher Dimensional Constructions 191 7.3 Nonisothermal Constructions and Reactor Type Constraints 205 7.4 AR Theory for Batch Reactors 222 7.5 Chapter Review 232 References 233 8 AR Construction Algorithms 235 8.1 Introduction 235 8.2 Preliminaries 235 8.3 Overview of AR Construction Methods 246 8.4 Inside-out Construction Methods 248 8.5 Outside-in Construction Methods 262 8.6 Superstructure Methods 270 8.7 Chapter Review 279 References 279 9 Attainable Regions for Variable Density Systems 281 9.1 Introduction 281 9.2 Common Conversions to Mass Fraction Space 281 9.3 Examples 293 9.4 Chapter Review 298 References 299 10 Final Remarks Further Reading and Future Directions 301 10.1 Introduction 301 10.2 Chapter Summaries and Final Remarks 301 10.3 Further Reading 304 10.4 Future Directions 305 References 307 Appendix A Fundamental Reactor Types 309 A.1 The Plug Flow Reactor 309 A.2 The Continuous-Flow Stirred Tank Reactor 309 A.3 The Differential Sidestream Reactor 310 Appendix B Mathematical Topics 311 B.1 Set Notation 311 B.2 Aspects of Linear Algebra 311 B.3 The Complement Principle 313 References 315 Appendix C Companion Software and Website 317 C.1 Introduction 317 C.2 Obtaining Python and Jupyter 318 Index 321