Nonlinear Process Modeling in Chemical and Particle Systems delivers a comprehensive guide to the analysis and application of nonlinear models in chemical engineering. Addressing the growing demand for simulation-driven design, process optimization, and sustainable innovation, the book integrates nonlinear ordinary and partial differential equations with real-world chemical and particle system applications. Readers are introduced to fundamental principles of nonlinear transport, reaction kinetics, and multiphase systems, followed by advanced treatments of particle dynamics, electrochemical processes, and environmental modeling. Each chapter combines theoretical underpinnings with detailed methods, computational strategies, and case studies, ranging from catalytic reactor dynamics to biosensor design and CO₂ capture technologies.
The inclusion of both semi-analytical and numerical approaches, alongside predictive analytics and machine learning, ensures that the book speaks equally to mathematical rigor and industrial relevance. Written for graduate students, researchers, and practicing engineers, this resource provides the skills to model, analyze, and optimize nonlinear processes across a range of chemical engineering applications. Its balance of theory, methods, and applied insights makes it an indispensable reference for advancing research, teaching, and professional practice in the field.
1. 3.1 Introduction to nonlinear behaviour in engineering kinetics - p. 81 2. 3.2 Example for linear and nonlinear reaction kinetics - p. 83 3. 3.3 Rate equations and rate laws - p. 86 4. 3.4 Units of the rate constant - p. 91 5. 3.5 Differential and integrated rate laws - p. 91 6. 3.6 Determination of rate constant - p. 93 7. 3.7 Types of chemical reactions - p. 94 8. 3.8 Conclusion - p. 121 9. References - p. 121 10. 4. Nonlinear transport and particle process systems - p. 125 11. Abstract - p. 125 12. 4.1 Nonlinear transport phenomena in catalytic systems - p. 125 13. 4.2 Multiphase transport phenomena - p. 133 14. 4.3 Nonlinear convection–diffusion–reaction models - p. 137 15. 4.4 Population balance equations in aggregation, nucleation, growth, and breakage - p. 142 16. 4.5 Crystallisation and aerosol dynamics - p. 149 17. 4.6 Fluidised bed systems - p. 155 18. 4.7 Coupled transport and particle kinetics - p. 161 19. 4.8 Reacting flows with complex kinetics - p. 163 20. 4.9 Application - p. 164 21. 4.10 Challenges and future trends - p. 165 22. 4.11 Conclusion - p. 167 23. References - p. 168 24. 5. Analytical and computational approaches in nonlinear chemical systems - p. 177 25. 6. Advanced applications of nonlinear modeling in chemical engineering - p. 223 26. Index - p. 261
Nonlinear Process Modeling in Chemical and Particle Systems delivers a comprehensive guide to the analysis and application of nonlinear models in chemical engineering. Addressing the growing demand for simulation-driven design, process optimization, and sustainable innovation, the book integrates nonlinear ordinary and partial differential equations with real-world chemical and particle system applications. Readers are introduced to fundamental principles of nonlinear transport, reaction kinetics, and multiphase systems, followed by advanced treatments of particle dynamics, electrochemical processes, and environmental modeling. Each chapter combines theoretical underpinnings with detailed methods, computational strategies, and case studies, ranging from catalytic reactor dynamics to biosensor design and CO₂ capture technologies.
The inclusion of both semi-analytical and numerical approaches, alongside predictive analytics and machine learning, ensures that the book speaks equally to mathematical rigor and industrial relevance. Written for graduate students, researchers, and practicing engineers, this resource provides the skills to model, analyze, and optimize nonlinear processes across a range of chemical engineering applications. Its balance of theory, methods, and applied insights makes it an indispensable reference for advancing research, teaching, and professional practice in the field.
1. 3.1 Introduction to nonlinear behaviour in engineering kinetics - p. 81 2. 3.2 Example for linear and nonlinear reaction kinetics - p. 83 3. 3.3 Rate equations and rate laws - p. 86 4. 3.4 Units of the rate constant - p. 91 5. 3.5 Differential and integrated rate laws - p. 91 6. 3.6 Determination of rate constant - p. 93 7. 3.7 Types of chemical reactions - p. 94 8. 3.8 Conclusion - p. 121 9. References - p. 121 10. 4. Nonlinear transport and particle process systems - p. 125 11. Abstract - p. 125 12. 4.1 Nonlinear transport phenomena in catalytic systems - p. 125 13. 4.2 Multiphase transport phenomena - p. 133 14. 4.3 Nonlinear convection–diffusion–reaction models - p. 137 15. 4.4 Population balance equations in aggregation, nucleation, growth, and breakage - p. 142 16. 4.5 Crystallisation and aerosol dynamics - p. 149 17. 4.6 Fluidised bed systems - p. 155 18. 4.7 Coupled transport and particle kinetics - p. 161 19. 4.8 Reacting flows with complex kinetics - p. 163 20. 4.9 Application - p. 164 21. 4.10 Challenges and future trends - p. 165 22. 4.11 Conclusion - p. 167 23. References - p. 168 24. 5. Analytical and computational approaches in nonlinear chemical systems - p. 177 25. 6. Advanced applications of nonlinear modeling in chemical engineering - p. 223 26. Index - p. 261
