Aerospace & Aeronautical Engineering / NACA 0012 Pressure Distribution
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LABORATORY 02 · AEROSPACE & AERONAUTICAL ENGINEERING

Surface Pressure Distribution and Normal Force on a Symmetric Airfoil (NACA 0012)

Measure chordwise static pressure distributions C_p(x/c) over a NACA 0012 symmetric airfoil across angles of attack and integrate surface pressures to determine the section normal force coefficient slope dC_n/dalpha. Explore interactive wind tunnel simulation, flight dynamics, and aerospace engineering telemetry.

AERODYNAMICS · PROPULSION · FLIGHT DYNAMICS

Your virtual aerospace engineering laboratory.

NORMAL FORCE COEFFICIENT C_N—
FLIGHT & TEST CELL TELEMETRY

Ready to sample with alpha = 4.0 deg.

4.0 deg
Airfoil chord c: 150 mm

Adjust alpha, then execute aerospace trial.

Aeronautical telemetry and flight states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity aerodynamic modeling.

Aeronautical assumptions and boundary condition limits

Two-dimensional wing model spans entire test section, but sidewall boundary layer interactions induce slight corner flow separation. Linear regression of the integrated normal force coefficient across alpha yields a slope of 0.1097 deg^-1 matching thin airfoil theory with R^2 > 0.999999.

Aeronautical apparatus & wind tunnel sensors.

NACA 0012 Precision Wind Tunnel Model

CNC-machined aluminum wing section of 150 mm chord with 32 flush-mounted surface static pressure taps.

Multi-Channel Scanivalve Pressure Scanner

Simultaneously acquires differential static pressures from 32 taps with 16-bit A/D conversion at 500 Hz.

Automated Rotary Turntable Mount

Positions airfoil angle of attack with optical shaft encoder resolution of 0.02 degrees.

Subsonic Wind Tunnel Test Section

Maintains uniform airspeed V_inf = 35 m/s corresponding to chord Reynolds number Re_c = 3.6 x 10^5.

Pitot-Static Reference Probe

Monitors free-stream dynamic pressure q_inf upstream of the airfoil model induction zone.

Digital Data Acquisition Workstation

Computes chordwise C_p distributions and executes real-time numerical integration for normal force.

FOLLOW THE METHOD

A reason behind every step.

Measure chordwise static pressure distributions C_p(x/c) over a NACA 0012 symmetric airfoil across angles of attack and integrate surface pressures to determine the section normal force coefficient slope dC_n/dalpha. Standardized parameter settings: 0.0, 2.0, 4.0, 6.0, 8.0, 10.0 deg.

01

Model Alignment and Tap Leak Testing

Mount the NACA 0012 model horizontally between tunnel sidewalls, align chord line with tunnel axis (alpha = 0 deg), and verify zero pneumatic leakage across all 32 taps.

02

Wind Tunnel Baseline Initialization

Start the wind tunnel and stabilize free-stream velocity at V_inf = 35 m/s, recording reference static and dynamic pressures.

03

Zero-Lift Pressure Verification

Record baseline static pressure distributions at alpha = 0 deg, confirming identical upper and lower surface C_p curves and zero integrated normal force.

04

Angle of Attack Incrementation

Rotate the model through alpha = 2.0, 4.0, 6.0, 8.0, and 10.0 degrees, allowing 20 seconds at each setting for pressure transducer settling.

05

C_p Distribution Computation

Convert raw tap voltages to pressure coefficients C_p(x/c) across all 32 chord stations for both suction and pressure surfaces.

06

Trapezoidal Normal Force Integration

Execute numerical integration of (C_p,lower - C_p,upper) d(x/c) to calculate total section normal force coefficient C_n.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into aerodynamic insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates NACA 0012 Pressure Distribution mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
C_n = 2\pi \alpha_{\text{rad}} \implies C_n = m \cdot \alpha_{\text{deg}} + b
#Angle of Attack alpha (deg)Normal Force Coefficient C_n (dimensionless)Angle of Attack alpha (deg)Normal Force Coefficient C_nRemove

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CHECK YOUR UNDERSTANDING

Explain what the aerodynamic metrics mean.

According to thin airfoil theory, what is the theoretical lift curve slope for a thin symmetric airfoil?

Where does the minimum pressure (maximum suction) occur on a NACA 0012 airfoil at positive angle of attack?

How is the section normal force coefficient C_n calculated from surface pressure taps?

What happens to the pressure distribution when a NACA 0012 airfoil stalls?