An algebraic-Q4 turbulent eddy viscosity model: Boundary layer flow over a flat plate and flow in a pipe |
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| Authors: | Alexander Yakhot Omer Kedar Steven A. Orszag |
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| Affiliation: | (1) Department of Mechanical Engineering, Ben-Gurion University, 84105 Beersheva, Israel;(2) Cambridge Hydrodynamics, Inc., P.O. Box 1403, 08542 Princeton, New Jersey;(3) Applied and Computational Mathematics, Princeton University, 08544 Princeton, New Jersey |
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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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| Keywords: | Eddy viscosity turbulent flow boundary layer pipe flow renormalization group |
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