Fractional Modeling of Fluid Flow and Transport Phenomena (Advances in Nonlinear Dynamical Systems and Robotics (ANDC)) - Softcover

El-Amin, Mohamed F.

Softcover

ISBN 10: 0443265089 ISBN 13: 9780443265082

Publisher: Academic Press, 2025

Synopsis

Fractional Modeling of Fluid Flow and Transport Phenomena focuses on mathematical and numerical aspects of fractional-order modeling in fluid flow and transport phenomena. The book covers fundamental concepts, advancements, and practical applications, including modeling developments, 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.

• Covers advancements in fractional-order fluid flow problems
• Serves as a comprehensive reference on fractional-order modeling of fluid flow and transport phenomena
• Demonstrates the topic with different aspects, including modeling, mathematical, computational, and physical commentary

About this title

About the Author

Dr. Mohamed F. El-Amin is a Full Professor of Applied Mathematics and Computational Sciences at Effat University, Saudi Arabia. He is also a Visiting Professor at King Abdullah University of Science and Technology, Saudi Arabia, and is a Full Professor at Aswan University, Egypt. As a mathematician, he has over 25 years of research experience in the field of computational sciences, applied mathematics, transport in porous media, heat/mass transfer, fluid dynamics, turbulence, reservoir simulation, and other aspects of complex systems. After obtaining his PhD in 2001, he held research positions in several universities including South Valley University (Egypt), Stuttgart University (Germany), Kyushu University (Japan), and KAUST. Dr. El-Amin is the editor of several journal special issues and the editor of books including Numerical Modeling of Nanoparticle Transport in Porous Media: MATLAB/Python Approach, Elsevier.

Dr. El-Amin's key areas of research are computational mathematics and fluid flow modeling, with applications in several areas - including but not limited to reservoir simulation, transport phenomena, nanofluids flow, multiphase flow, transport in porous media, heat and mass transfer, hydrogen energy, boundary layer flow, magnetohydrodynamics, and non-Newtonian fluids.

From the Back Cover

Fractional Modeling 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.

Edition details

• Publisher: Academic Press
• Publication date: 2025
• ISBN 10: 0443265089
• ISBN 13: 9780443265082
• Binding: Paperback
• Language: English
• Number of pages: 316