Fractional Modeling of Fluid Flow and Transport Phenomena
Series: Advances in Nonlinear Dynamical Systems and Robotics (ANDC);
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Product details:
- Publisher Elsevier Science
- Date of Publication 4 February 2025
- ISBN 9780443265082
- Binding Paperback
- No. of pages316 pages
- Size 229x152 mm
- Weight 520 g
- Language English 635
Categories
Long 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.
Table of Contents:
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
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