lift-curve-slopelisted
Install: claude install-skill ashfordeOU/aero-agent-skills
# Lift Curve Slope Estimation (aerodynamics/drag-polars/lift-curve-slope)
Use when the task is wing lift curve slope estimation from section
data: thin-airfoil theory for the section slope, lifting-line theory
for the finite wing, simple sweep theory, the Prandtl-Glauert Mach
correction, and lift coefficient from angle of attack.
## Domain quick reference
- Section slope: thin-airfoil theory gives a0 = 2 * pi per radian for
a flat plate or thin uncambered section; use a measured or computed
value when one is available. Camber shifts the zero-lift angle, it
does not change the thin-airfoil slope.
- Finite wing (lifting-line theory, span efficiency e):
a = a0 / (1 + a0 / (pi * e * AR)). With a0 = 2 * pi and e = 1
(elliptic loading) this reduces to a = a0 * AR / (AR + 2).
- Sweep (simple sweep theory): a_swept = a * cos(sweep), sweep in
degrees, documented range 0 <= sweep < 90 where cos(sweep) > 0.
- Mach (Prandtl-Glauert): a_mach = a / sqrt(1 - M^2), documented
range 0 <= M < 0.7. The correction is a subsonic small-disturbance
result and becomes invalid as transonic effects appear above 0.7.
- Combined order: section slope, then finite wing, then sweep, then
Mach. Each step consumes the slope produced by the previous step.
- Lift coefficient: C_L = a * (alpha - alpha_zero), alpha and
alpha_zero in degrees, a per radian. The optional stall guard flags
angles whose linear prediction exceeds the stall limit.
- Validation anchor: NACA Report 824 (public do