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Multizone shell model for turbulent wall bounded flows.

Victor S L'vov1, Anna Pomyalov, Vasil Tiberkevich

  • 1Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 20, 2003
PubMed
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A new multizone shell (MZS) model describes wall-bounded turbulence by approximating flow space inhomogeneity. This model captures key turbulence characteristics, including the evolution of the mean velocity profile towards a logarithmic profile.

Area of Science:

  • Fluid Dynamics
  • Turbulence Modeling
  • Computational Fluid Dynamics

Background:

  • Wall-bounded flows exhibit complex spatial inhomogeneity.
  • Existing models often struggle to capture the full range of turbulent scales and near-wall structures.
  • Understanding turbulence near boundaries is crucial for various engineering applications.

Purpose of the Study:

  • To introduce a novel multizone shell (MZS) model for wall-bounded flows.
  • To account for spatial inhomogeneity using a piecewise approximation.
  • To accurately describe turbulent fluctuations and near-wall coherent structures.

Main Methods:

  • Subdividing the flow cross-sectional area into 'j' zones with decreasing area towards the wall.
  • Assuming space homogeneity within each zone, described by shell velocities.

Related Experiment Videos

  • Introducing complex variables to represent near-wall coherent structures and their amplitudes.
  • Formulating MZS equations that preserve conservation laws and symmetries.

    • Main Results:

    • The MZS model qualitatively describes the evolution of the mean velocity profile.
    • It demonstrates the transition from laminar to a universal logarithmic profile with increasing Reynolds number.
    • The model accounts for nonlinearity and dimensional reasoning inherent in the Navier-Stokes equation.

    Conclusions:

    • The MZS model provides a robust framework for analyzing wall-bounded turbulence.
    • It successfully captures essential features of turbulent flows near boundaries.
    • The model's ability to preserve fundamental physical principles enhances its validity.