Fractional Modeling of Fluid Flow and Transport Phenomena
Published on 4. February 2025
Book
Paperback/Softback
316 pages
978-0-443-26508-2 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 228 mm
Width: 155 mm
Thickness: 16 mm
Weight
508 gr
ISBN-13
978-0-443-26508-2 (9780443265082)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Mohamed F. El-Amin
Fractional Modeling of Fluid Flow and Transport Phenomena
E-Book
01/2025
Elsevier
€194.99
Available for download
Person
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.
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.
Content
1. Traditional modeling of fluid flow and transport phenomena
2. 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
2. 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