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Fractional Modeling of Fluid Flow and Transport Phenomena

Paperback Engels 2025 9780443265082
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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.

Specificaties

ISBN13:9780443265082
Taal:Engels
Bindwijze:Paperback

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Inhoudsopgave

1. Traditional modeling of fluid flow and transport phenomena<br>2. Fundamentals of fractional calculus<br>3. Fundamentals of fractional modeling of fluid flow<br>4. Analytical solutions of fractional PDEs<br>5. Numerical methods for solving fractional PDEs<br>6. Fractional-order models of fluid flow, heat and mass transfer<br>7. Fractional-order models of non-Newtonian fluids<br>8. Fractional-order models of nanofluids and ferrofluids<br>9. Fractional models of turbulent flows<br>10. Fractional-order derivatives for multiphase flow in porous media<br>11. Fractional models of magneto- and electrohydrodynamics<br>12. Fractional models in renewable energy systems

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        Fractional Modeling of Fluid Flow and Transport Phenomena