Fractional Modelling of Fluid Flow and Transport Phenomena

Fractional-Order Modelling of Fluid Flow and Transport Phenomena focuses on mathematical and numerical aspects of fractional-order modeling in fluid flow and transport phenomena. It covers fundamental concepts, advancements, and practical applications, including modeling development, numerical solutions, and convergence analysis for both time and space fractional order models. Various types of flows are explored, such as single- and multi-phase flows in porous media, involving different fluid types like Newtonian, non-Newtonian, nanofluids, and ferrofluids. This book serves as a comprehensive reference on fractional-order modeling of fluid flow and transport phenomena, offering a single resource that is currently unavailable. Fractional-order modeling has gained traction in engineering and science, particularly in fluid dynamics and transport phenomena. However, its mathematical and numerical advancements have progressed relatively slowly compared to other aspects. Therefore, this book emphasizes the fractional-order modeling of fluid flow and transport phenomena to bridge this gap. Each chapter in the book delves into a specific topic closely related to the others, ensuring a cohesive and self-contained structure. Detailed explanations are provided to aid comprehension, supplemented by both mathematical and physical interpretations as necessary. The book incorporates the latest findings in the field. The intended audience for this book includes engineering researchers, graduate students, scientists, and industry professionals working in fluid dynamics, pure/applied mathematics, porous media, reservoir simulation, and numerical analysis.