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An algebraic-Q4 turbulent eddy viscosity model: Boundary layer flow over a flat plate and flow in a pipe

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Abstract

An algebraic turbulent eddy viscosity model is proposed based on a length scale model coupled with the turbulent viscosity expression of the renormalization group theory of turbulence. The eddy viscosity is presented as a solution of a quartic equation. The new length scale model is based on boundary layer characteristics (displacement thickness, shape factor). The model is applied to transitional boundary layer flow over a flat plate and to flow in a smooth pipe. Predictions for the laminar-turbulent transition, and integral characteristics, such as the total skin friction coefficient, mean velocity profile across the boundary layer, and the friction coefficient in a pipe, are found to be in good agreement with experimental data.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Ben-Gurion University, 84105, Beersheva, Israel

    Alexander Yakhot & Omer Kedar

  2. Cambridge Hydrodynamics, Inc., P.O. Box 1403, 08542, Princeton, New Jersey

    Alexander Yakhot & Steven A. Orszag

  3. Applied and Computational Mathematics, Princeton University, 08544, Princeton, New Jersey

    Steven A. Orszag

Authors
  1. Alexander Yakhot
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  2. Omer Kedar
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  3. Steven A. Orszag
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Yakhot, A., Kedar, O. & Orszag, S.A. An algebraic-Q4 turbulent eddy viscosity model: Boundary layer flow over a flat plate and flow in a pipe. J Sci Comput 7, 229–239 (1992). https://doi.org/10.1007/BF01061329

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  • DOI: https://doi.org/10.1007/BF01061329

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