Authors : Karam Dhafer Abdullah

Volume/Issue : Volume 10 - 2025, Issue 7 - July

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Google Scholar : https://tinyurl.com/yzaj5a9u

DOI : https://doi.org/10.38124/ijisrt/25jul428

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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.

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4. Li, C., & Zeng, F. (2015). Numerical Methods for Fractional Calculus. CRC Press.