cases:case011

# Airfoil Boundary Layer and Wake

Flows around two different airfoil models: a conventional one at zero incidence and a supercritical one at an angle of attack of 4o, in the same flow conditions. 2D flows at low Mach number.

#### Geometry of the Computational Domain

The two wing shapes are shown in figure 1.

Chord of both airfoils: $C = 24$ in. $\approx 610$ mm.

Fig. 1: Airfoil geometries

Features of the two models:

 Model A Model B 10%-thick conventional 14%-thick advanced supercritical 10.18o 10.05o 0o 4o 0.6 0.018

The coordinates of the airfoil surfaces are stored in the files model_a_cor.dat and model_b_cor.dat. There appear to be errors in a few of the data points provided in these files, which if used would lead to kinks in the airfoil geometries. If computing these cases it might be best to disregard such points, or smooth over them.

#### Flow Characteristics

The variations of the total and the static pressures are less than 1% in the flow direction along the wind tunnel.

The boundary layers are made turbulent for both models:

• on the upper surface, using a wire of diameter 1.3 mm located at $x/C=0.16$
• on the lower surface, using a wire of diameter 0.5 mm located at $x/C=0.05$

The experimental results indicate that the flow around the conventional airfoil is a minor perturbation of a symmetric flat-plate flow with small wake curvature and weak viscous-inviscid interaction. The flow around the supercritical airfoil is in considerable contrast, with strong streamwise pressure gradients, non-negligible normal pressure gradients and large surface and streamline curvatures of the trailing-edge flow. In this case, the near-wake is strongly curved and intense mixing occurs between the retarded boundary layer of the upper-surface and the strongly accelerated one of the lower-surface.

#### Flow Parameters

• Air at standard conditions.
• Reference freestream velocity: $U_{ref} = 30.5$ m/s.
• Reynolds number based on the chord length: $Re_C = 1.2\times 10^6$.
##### Inflow Conditions

The upstream flow is reported to be at a constant velocity $U_{ref} = 30.5$ m/s, with a freestream turbulence level of 0.02%.

• Surface pressure measurements using a standard static pressure probe. The pressure coefficient is defined as $C_p = (p - p_{ref})/(0.5\rho U_{ref}^2)$ where $p_{ref}$ is the undisturbed freestream pressure far upstream from the airfoil.
• Total pressure measurements using a flattened tube both in the boundary layer and in the immediate vicinity of the trailing edge. A circular tube is used for the rest of the wake.
• Shear stress measurements using L-shaped Preston tubes.
• Velocity measurements using a hot-wire.

#### Measurement Errors

 $\delta(C_p)$ $\pm 0.03$ $\delta(\text{second order moments})$ 5% of the maximum value

Sample plots of selected quantities are available.

The following measurements are provided for the two models.

• Velocity measurements: Profiles at selected locations across the upper and the lower side boundary layers and across the wake of:
• First order moments: $U/U_{ref}$, $V/U_{ref}$
• Second order moments: $\overline{u^2}/U_{ref}^2$, $\overline{v^2}/U_{ref}^2$, $\overline{uv}/U_{ref}^2$
• Third order moments (at some locations): $\overline{uuu}/U_{ref}^3$, $\overline{vvv}/U_{ref}^3$, $\overline{uuv}/U_{ref}^3$, $\overline{uvv}/U_{ref}^3$
• Pressure measurements
• Distribution of the wall pressure and friction coefficients around the two models.
• Contour maps of the pressure coefficient around the trailing edge.

Data is stored in the following files:

Model A Model B
Airfoil coordinates model_a_cor.dat model_b_cor.dat
Surface pressure data model_a_sfd.dat model_b_sfd.dat
Hot wire data model_a_hwd.dat model_b_hwd.dat
Pitot tube data model_a_ptd.dat model_b_ptd.dat
Station data model_a_std.dat model_b_std.dat
1. Nakayama, A. (1985). Characteristics of the flow around conventional and supercritical airfoils. J. Fluid Mech., Vol. 160, pp. 155-179.

Indexed data:

case011 (dbcase, flow_around_body, free_flow)
case011
titleAirfoil Boundary Layer and Wake
authorNakayama
year1983
typeEXP
flow_tag2d, wake, streamlined_body