This book explores modern fluid mechanics through mathematical modeling and advanced computational, covering complex topics like compressible flows and fluid-structure interactions. It integrates computational techniques, multiscale modeling, and AI applications, with a focus on industry-specific challenges in energy, manufacturing, and environmental sciences. This book spans fundamental fluid mechanics to cutting-edge simulations of complex fluid systems, providing insights into a wide range of fluid behaviors in engineering, biological, environmental, and industrial contexts. It addresses key challenges such as non-Newtonian fluids, compressible flows, multiphase systems, and fluid-structure. Contemporary research trends like AI-driven optimisation and sustainable energy solutions are also discussed.

• Covers basic principles to specialized topics such as compressible flows, multiphase systems, and fluid-structure interactions.
• Focuses on numerical methods, optimization, and computational fluid dynamics (CFD) tools to solve complex fluid dynamics problems.
• Discusses applications relevant to industries such as petroleum, manufacturing, and energy, including heat exchangers, porous media, and lubrication systems.
• Covers modern advancements like machine learning, AI optimization, and sustainable energy solutions.
• Applies fluid dynamics across biological, environmental, and industrial contexts, making the book relevant to engineers, environmental scientists, and healthcare professionals.

This book is a valuable resource for researchers, engineers, and students in fluid mechanics, computational fluid dynamics, and applied mathematics, providing both theoretical depth and practical solutions.