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Turbulence in Fluid Dynamics: Theoretical Models and Scaling Laws

Nandana Corresponding Author

Department of Physics, Rajagiri College of Social Sciences, Kochi, Kerala, India

JournalPIJST
Volume / Issue2 / 6
Pages8–17
Published30 Jun 2025
Paper IDPIJST26J25002
Views / Downloads1 / 1

Article summary

Abstract

- Turbulence, a persistent enigma in classical physics, characterizes chaotic and nonlinear fluid motion across a wide range of natural and engineered systems. Despite significant theoretical and computational advances, a unified framework for understanding turbulence remains elusive. This paper presents a conceptual analysis of turbulence in fluid dynamics, focusing on major theoretical models and scaling laws that have shaped the discipline. From Kolmogorov’s inertial-range hypotheses to modern simulations such as DNS and LES, the study outlines how dimensional analysis, self-similarity, and multifractal models contribute to the scaling behavior of turbulent flows. It further explores the energy cascade mechanism and the implications of turbulence in real-world contexts such as meteorology, aerospace engineering, and astrophysics. By comparing various turbulence modeling strategies and highlighting their strengths and limitations, the paper offers insight into ongoing challenges and future directions in turbulence research. This work aims to provide a non-mathematical yet comprehensive understanding of turbulence for physicists and interdisciplinary researchers.

Keywords

TurbulenceFluid DynamicsScaling LawsEnergy CascadeDimensional AnalysisSelf-SimilarityNonlinear SystemsMultifractal Models

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How to cite this article

Nandana (2025). Turbulence in Fluid Dynamics: Theoretical Models and Scaling Laws. Procedure International Journal of Science and Technology, 2(6), 8–17. https://doi.org/10.62796/pijst.2025v2i6002

Nandana. “Turbulence in Fluid Dynamics: Theoretical Models and Scaling Laws.” Procedure International Journal of Science and Technology, vol. 2, no. 6, 2025, pp. 8–17. https://doi.org/10.62796/pijst.2025v2i6002

Nandana. “Turbulence in Fluid Dynamics: Theoretical Models and Scaling Laws.” Procedure International Journal of Science and Technology 2, no. 6 (2025): 8–17. https://doi.org/10.62796/pijst.2025v2i6002

Nandana (2025) ‘Turbulence in Fluid Dynamics: Theoretical Models and Scaling Laws’, Procedure International Journal of Science and Technology, 2(6), pp. 8–17. Available at: https://doi.org/10.62796/pijst.2025v2i6002.

Nandana, “Turbulence in Fluid Dynamics: Theoretical Models and Scaling Laws,” Procedure International Journal of Science and Technology, vol. 2, no. 6, pp. 8–17, 2025. https://doi.org/10.62796/pijst.2025v2i6002.

Nandana. Turbulence in Fluid Dynamics: Theoretical Models and Scaling Laws. Procedure International Journal of Science and Technology. 2025;2(6):8–17. https://doi.org/10.62796/pijst.2025v2i6002.

Nandana. Turbulence in Fluid Dynamics: Theoretical Models and Scaling Laws. Procedure International Journal of Science and Technology 2025, 2 (6), 8–17. https://doi.org/10.62796/pijst.2025v2i6002.

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Published30 Jun 2025
DOI assigned30 Jun 2025
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Copyright © 2025 Author(s). This work is published by Procedure International Journal of Science and Technology under the Creative Commons Attribution-NonCommercial 4.0 International. Authors retain copyright and grant the journal the right of first publication.

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References

Showing first 3 of 10 references.

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  3. Khossousi, A. (1987). A theoretical investigation of an averaged-structure eddy viscosity model applied to turbulent shear flows. CORE. Source

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