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Clark-Y Airfoil Aerodynamic Lift Slope Calculator

The Clark-Y airfoil is one of the most widely used general aviation and model aircraft profiles, famous for its flat lower surface that simplifies construction and gentle stall characteristics.

Angle between chord line and freestream relative wind.

Wing aspect ratio b² / S (typically 5 to 10 for light aircraft).

Theoretical 2D section lift slope (typically 2π ≈ 6.283 per radian).

Calculated Result
0.617

Lift Coefficient (C_L)

3D Lift Curve Slope (a)

4.529 /rad

Zero-Lift Angle (α₀)

-3.8°

Effective Angle of Attack

7.8°

Calculation Breakdown

  1. 3D Helmbold Slope: a = a₀ / [√(1 + (a₀/π·AR)²) + a₀/π·AR]4.529 /rad
  2. C_L = a · (α - α₀)0.617

What Is the Clark-Y Airfoil Aerodynamic Lift Slope Calculator?

The Clark-Y airfoil has an experimental zero-lift angle of attack of -3.8 degrees due to its positive camber.

Finite wingtip vortex downwash reduces the effective 3D lift slope compared to theoretical infinite 2D airfoil sections.

How Does the Clark-Y Airfoil Aerodynamic Lift Slope Calculator Work?

Applies Helmbold formulation to adjust 2D section lift slope a0 for finite wing aspect ratio AR.

Converts effective angle of attack (alpha - alpha0) to radians.

Evaluates overall 3D wing lift coefficient CL.

Clark-Y Airfoil Aerodynamic Lift Slope Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

a = \frac{a_0}{\sqrt{1 + \left(\frac{a_0}{\pi \cdot \text{AR}}\right)^2} + \frac{a_0}{\pi \cdot \text{AR}}}, \quad C_L = a (\alpha - \alpha_0), \quad \alpha_0 \approx -3.8^\circ

Helmbold finite aspect ratio 3D lift slope transformation with Clark-Y zero-lift offset.

How to Use the Clark-Y Airfoil Aerodynamic Lift Slope Calculator

  1. Enter geometric angle of attack in degrees.
  2. Enter wing aspect ratio (span^2 / wing area).
  3. Optionally adjust section 2D lift slope a0.

Step-by-Step Example Calculation

Light UAV Wing Cruise Aerodynamics

Input Values:

angle促AttackDeg:4
wingAspectRatioAR:6
thinAirfoil2dSlopePerRad:6.283
Worked Steps: Cruising flight on an aspect ratio 6 rectangular wing using Clark-Y airfoil.

Understanding Your Result

At 0 degrees angle of attack, the Clark-Y still produces substantial positive lift (CL ~ 0.38).

Higher aspect ratios increase the lift slope, producing more lift per degree of pitch.

Factors That Affect the Result

  • Aspect ratio: Low aspect ratio wings suffer severe downwash, flattening the lift curve.
  • Stall angle: Clark-Y exhibits gentle trailing-edge stall onset around 14° to 16° angle of attack.

When Should You Use This Calculator?

  • Sizing wings for general aviation airplanes, gliders, radio-controlled planes, and propeller blades.
  • Estimating cruise pitch attitude and trim settings.

Assumptions & Limitations

  • Valid in linear attached flow regime below the stall angle (alpha < 12°).
  • Assumes subsonic incompressible flight (Mach < 0.3).

Frequently Asked Questions

Calculation Accuracy & Reference Note

Calibrated against historic NACA Technical Report 586 wind tunnel measurements.

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