Airfoil (NACA 4-Digit) Simulator Back

NACA Airfoil Simulator | Four-Digit Shapes and Lift

Vary camber, camber position, thickness and angle of attack for NACA four-digit airfoils. Explore section shape and lift trends using thin-airfoil theory and simplified models, not a CFD or wind-tunnel replacement.

Select NACA airfoil
Maximum camber M (%)
Camber position P (×10%)
Maximum thickness XX (%)
Flow conditions
Angle of Attack α (°)
°
Re (×10⁶)
×10⁶
Animation
Overlays
Preset
Analysis Results
Results
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Angle of Attack α (°)
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CL
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Cp_min (suction peak)
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Stagnation point x/c
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CD
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L/D
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α₀ (°)
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Stall Angle (°)
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CL,max
Airfoil
Cl
Lift coefficient Cl vs angle of attack α
Theory & Key Formulas
Pressure Coefficient Cp Distribution
Theory & Key Formulas
$$C_L = 2\pi\,(\alpha - \alpha_{L0}),\qquad C_p = 1-\left(\frac{V}{V_\infty}\right)^2$$

α: angle of attack αL0: zero-lift angle (due to camber) V: local flow velocity V∞: freestream velocity. Lift-curve slope = 2π/rad ≈ 0.11/°. Flow accelerates over the upper surface (V>V∞→Cp<0=suction), while V=0→Cp=1 at the stagnation point. The Kutta condition makes the flow leave the trailing edge smoothly and determines the circulation.

TRY THE SAME CONDITIONS

Worked example

Set maximum camber M=0, thickness XX=12% and angle α=5°. For the symmetric section, CL=2πα gives about 0.548 with α in radians. At α=0°, CL=0. Then set M=2 and P=4 to compare a cambered section.

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Model and scope

NACA 2412 means 2% maximum camber at 40% chord and 12% thickness. Lift starts from CL=2π(α−α0); an empirical decay models stall. The drag expression includes a CL² term with fixed AR=8 and e=0.85, so it is not measured two-dimensional section drag.

Questions and answers

What scale does the Reynolds number input use?

Millions: 3.0 means Re=3×10⁶. Re enters a simplified drag expression; the tool does not solve boundary-layer transition or separation.

Does thin-airfoil theory predict stall?

No. The displayed stall angle and post-stall curve are simplified assumptions added to the model. Do not use them as a real aircraft's operating limits.

Why can thickness change without changing lift?

Before modeled stall, thickness does not directly change the linear lift slope. It does affect shape, drag and the simplified stall model. Compare the relevant output and condition.

Are streamlines and Cp calculated by CFD?

No. The flow and pressure visualizations are simplified, not a numerical Navier–Stokes solution. Real design requires validation at matching Reynolds number, surface condition and angle.

Theory reference (not certification of this tool)

NASA: NACA airfoil sections

Explanation updated: 6 September 2026

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