Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1998-04-14
Nonlinear Sciences
Chaotic Dynamics
4 pages, 4 figs, revtex
Scientific paper
10.1103/PhysRevLett.81.5338
We propose the viscous Camassa-Holm equations as a closure approximation for the Reynolds-averaged equations of the incompressible Navier-Stokes fluid. This approximation is tested on turbulent channel flows with steady mean. Analytical solutions for the mean velocity and the Reynolds shear stress across the entire channel are obtained, showing good agreement with experimental measurements and direct numerical simulations. As Reynolds number varies, these analytical mean velocity profiles form a family of curves whose envelopes are shown to have either power law, or logarithmic behavior, depending on the choice of drag law.
Chen Shiyi
Foias Ciprian
Holm Darryl D.
Olson Eric
Titi Edriss S.
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