On the generation of the mean velocity profile for turbulent boundary layers with pressure gradient under equilibrium conditions.

Aldo Rona (1) , Manuele Monti (1) , Christophe Airiau (2)

1 University of Leicester
2 IMFT - Institut de mécanique des fluides de Toulouse

The generation of a fully turbulent boundary layer profile is investigated using analytical and numerical methods over the Reynolds number range 422 ≤ Reθ ≤ 31,000. The numerical method uses a new mixing length blending function. The predictions are validated against reference wind tunnel measurements under zero streamwise pressure gradient. The methods are then tested for low and moderate adverse pressure gradients. Comparison against experiment and DNS data show a good predictive ability under zero pressure gradient and moderate adverse pressure gradient, with both methods providing a complete velocity profile through the viscous sub-layer down to the wall. These methods are useful computational fluid dynamic tools for generating an equilibrium thick turbulent boundary layer at the computational domain inflow.

Mots clés: Turbulenct boundary layer; Computational fluid dynamic; CFD

Domaines: Mécanique des fluides [physics.class-ph]

Aldo Rona, Manuele Monti, Christophe Airiau. On the generation of the mean velocity profile for turbulent boundary layers with pressure gradient under equilibrium conditions.. Aeronautical Journal -New Series-, 2012, 116 (1180), pp.569-598. ⟨10.1017/S0001924000007089⟩. ⟨hal-03527977⟩