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.
Table of Contents
1. Traditional modeling of fluid flow and transport phenomena2. Fundamentals of fractional calculus
3. Fundamentals of fractional modeling of fluid flow
4. Analytical solutions of fractional PDEs
5. Numerical methods for solving fractional PDEs
6. Fractional-order models of fluid flow, heat and mass transfer
7. Fractional-order models of non-Newtonian fluids
8. Fractional-order models of nanofluids and ferrofluids
9. Fractional models of turbulent flows
10. Fractional-order derivatives for multiphase flow in porous media
11. Fractional models of magneto- and electrohydrodynamics
12. Fractional models in renewable energy systems
Authors
Mohamed F. El-Amin Effat University, Jeddah, Saudi Arabia.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.
