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Fractal scaling and simulation of velocity components and turbulent shear stress in open channel flow

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  • Ziaei, Ali Naghi
  • Keshavarzi, Ali Reza
  • Homayoun, Emdad

Abstract

Fully developed turbulent flow indeed consists of a hierarchy of eddies or scales of various disorders. Due to the complexity of turbulence, the turbulent flow structure has not been completely understood. Thus, abundant empirical observations have been made about fractality in hydrodynamic turbulence. In this study, the fractal scaling of velocity components (u′,v′) and Reynolds shear stress (u′v′) for fully developed flow in an open channel were studied for Reynolds number in the range of 29,000–85,000.

Suggested Citation

  • Ziaei, Ali Naghi & Keshavarzi, Ali Reza & Homayoun, Emdad, 2005. "Fractal scaling and simulation of velocity components and turbulent shear stress in open channel flow," Chaos, Solitons & Fractals, Elsevier, vol. 24(4), pages 1031-1045.
    • Handle: RePEc:eee:chsofr:v:24:y:2005:i:4:p:1031-1045
    DOI: 10.1016/j.chaos.2004.09.054
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    Cited by:

    1. Keshavarzi, Ali Reza & Ziaei, Ali Naghi & Homayoun, Emdad & Shirvani, Amin, 2005. "Fractal-Markovian scaling of turbulent bursting process in open channel flow," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 307-318.
    2. He, Ji-Huan, 2006. "Application of E-infinity theory to turbulence," Chaos, Solitons & Fractals, Elsevier, vol. 30(2), pages 506-511.
    3. Keshavarzi, Alireza & Gheisi, Alireza, 2007. "Three-dimensional fractal scaling of bursting events and their transition probability near the bed of vortex chamber," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 342-357.
    4. Xie, H. & Zhou, H.W., 2008. "Application of fractal theory to top-coal caving," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 797-807.
    5. Chelsie Chia-Hsin Liu & Christina W. Tsai & Yu-Ying Huang, 2021. "Development of a Backward–Forward Stochastic Particle Tracking Model for Identification of Probable Sedimentation Sources in Open Channel Flow," Mathematics, MDPI, vol. 9(11), pages 1-35, May.
    6. Gheisi, Ali Reza & Keshavarzi, Ali Reza, 2008. "Quantifying flow structure in vortex chamber using fractal dimension," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 314-321.
    7. Das, Vikas Kumar & Debnath, Koustuv & Sivakumar, Bellie, 2022. "Does turbulence show fractal structure within a dynamic undercut of an alluvial riverbank?," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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