Computational and Mathematical Techniques for Heat Transfer and Fluid Dynamics offers an in-depth exploration of modern modeling, simulation, and optimization strategies for solving complex problems in thermal and fluid systems. This edited volume presents a diverse collection of chapters that blend classical theories with advanced computational methods and emerging technologies to address a wide spectrum of thermal-fluid phenomena. Covering foundational concepts as well as cutting-edge research, the book introduces readers to the fundamental principles of heat transfer and fluid mechanics, followed by in-depth discussions on non-Newtonian fluid models, nanofluid and hybrid nanofluid behaviors, magnetic and chemical interactions, and micropolar and porous media flows. A distinctive feature of this volume is the integration of advanced numerical techniques—including similarity transformations, finite difference solvers, special functions, and fractional calculus—with optimization strategies and machine learning tools. Special emphasis is placed on biomedical flows, multiphase systems, and the application of artificial intelligence in modeling and prediction. Readers will also find case studies related to energy systems, polymer processing, and chemical reactors, making this book highly relevant to both academic researchers and industry professionals. This book:Introduces essential concepts of heat transfer and fluid dynamics using practical modeling approachesExplores nanofluid, hybrid nanofluid, and non-Newtonian fluid flow problems under multiple physical effectsIntegrates modern computational tools such as MATLAB® solvers, statistical optimization, and machine learning modelsDiscusses the application of fractional calculus and exact analytical techniques for complex flow and thermal scenarios and presents real-world applications in microfluidics, biomedical systems, renewable energy, and advanced cooling technologiesOffers detailed insights into optimization and control strategies for enhancing thermal-fluid system performanceThis book is an essential resource for graduate students, researchers, engineers, and professionals in mechanical, chemical, aerospace, and applied mathematics fields who seek to deepen their understanding of computational heat transfer and fluid dynamics in both traditional and emerging applications.