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Nonlinear Process Modeling in Chemical and Particle Systems

  • Book

  • October 2026
  • Elsevier Science and Technology
  • ID: 6251141
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 CO? 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.

Table of Contents

1. Fundamentals of Particle Technology and Multiphase Flow
2. Granular Materials and Nonlinear Transport Dynamics
3. Reaction-Diffusion Kinetics in Catalytic Systems
4. Computational Fluid Dynamics (CFD) for Chemical Process Modeling
5. Advanced ODE/PDE Applications in Chemical Engineering
6. Predictive Analytics and Machine Learning in Reaction Engineering

Authors

Lakshmanan Rajendran Professor of Mathematics, Academy of Maritime Education and Training (Deemed to be University), Chennai, India. Dr. Lakshmanan Rajendran is a Professor of Mathematics at the Academy of Maritime Education and Training (Deemed to be University), Chennai, India. He earned his Ph.D. in Applied Mathematics in 1997 and works extensively in nonlinear differential equations, electrochemical modeling, and mathematical modeling of chemical and physical systems. Over his career, he has authored more than 400 SCI-indexed international papers, 250 national publications, and four academic books. He has completed six funded research projects and guided over 50 Ph.D. scholars. An active reviewer for leading international journals, Dr. Rajendran has also represented Indian research globally, with academic visits to Germany, Poland, and the UAE through INSA fellowships, contributing to international collaboration in applied mathematics. Usha Rani R. Associate Professor of Mathematics, Meenakshi College of Engineering, Chennai, India. Dr. R. Usha Rani is an Associate Professor of Mathematics at Meenakshi College of Engineering, Chennai. She earned her Ph.D. in Nonlinear Differential Equations from AMET University in 2022. Her research centers on analytical and numerical solutions of complex differential equations in chemical and environmental systems, including nonlinear reaction-diffusion processes, CO? sequestration, and biosensor modeling. She has published her findings in international peer-reviewed journals and actively engages in interdisciplinary research that connects mathematics with chemical and biological sciences. Dr. Usha Rani has contributed to the applied and computational aspects of several projects, focusing on asymptotic and semi-analytical methods for nonlinear systems in catalytic and porous media and multiphase transport problems. Her work also includes developing case studies, solving partial differential equations, preparing visual content, and applying computational tools to illustrate the practical relevance of mathematical modeling. Her interdisciplinary approach bridges theoretical mathematics with chemical engineering practice.