Authors :
Karam Dhafer Abdullah
Volume/Issue :
Volume 10 - 2025, Issue 7 - July
Google Scholar :
https://tinyurl.com/yzaj5a9u
DOI :
https://doi.org/10.38124/ijisrt/25jul428
Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.
Abstract :
This paper presents a numerical investigation into the application of fractional-order calculus to the modeling of
turbulent fluid flows using generalized Navier-Stokes equations. Traditional Navier-Stokes equations are extended to
incorporate Caputo fractional derivatives in the time domain, capturing memory effects inherent in turbulent flows. A simplified
1D time-fractional Burgers’ equation is used to demonstrate the method. The results showcase the impact of fractional order on
velocity field evolution, providing a foundational framework for advanced 2D and 3D extensions.
References :
- Podlubny, I. (1999). Fractional Differential Equations. Academic Press.
- Diethelm, K. (2010). The Analysis of Fractional Differential Equations. Springer.
- Miller, K. S., & Ross, B. (1993). An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley.
- Li, C., & Zeng, F. (2015). Numerical Methods for Fractional Calculus. CRC Press.
This paper presents a numerical investigation into the application of fractional-order calculus to the modeling of
turbulent fluid flows using generalized Navier-Stokes equations. Traditional Navier-Stokes equations are extended to
incorporate Caputo fractional derivatives in the time domain, capturing memory effects inherent in turbulent flows. A simplified
1D time-fractional Burgers’ equation is used to demonstrate the method. The results showcase the impact of fractional order on
velocity field evolution, providing a foundational framework for advanced 2D and 3D extensions.