thin-airfoil-section-theorylisted
Install: claude install-skill ashfordeOU/aero-agent-skills
# Thin Airfoil Section Theory (aerodynamics/airfoil/thin-airfoil-section-theory)
Use when you must turn a thin airfoil's camber line into its analytic
section aerodynamics: the Glauert sine-series coefficients of the camber
slope, the zero-lift angle, the section lift curve and the quarter-chord
pitching moment. This leaf computes the closed-form thin-airfoil solution
in pure stdlib Python, with trapezoid quadrature used only for the Fourier
integrals over the theta transform. It pairs with
aerodynamics/airfoil/airfoil-geometry, which produces the mean camber line
ordinates and slope consumed here (both leaves can be cross-checked on the
same NACA 2412 camber line), and it supplies the analytic anchor that the
numerical and viscous section layers beneath it verify against. Section
coefficients are derived here from the camber line; the finite-wing slope
leaf aerodynamics/drag-polars/lift-curve-slope instead consumes alpha_zero
and the section slope as given inputs for its aspect-ratio and sweep
corrections, so it is the complement, not the duplicate.
## Domain quick reference
- Glauert theta transform: x = (1 - cos(theta))/2 maps the chord x in [0, 1]
onto theta in [0, pi], clustering stations at the leading edge where the
camber slope varies fastest. All integrals run over this theta grid.
- Camber slope input routes: NACA 4-digit mean line (m, p) with dz/dx =
(2m/p^2)(p - x) for x <= p and dz/dx = (2m/(1-p)^2)(p - x) for x >= p
(zero at x = p, matching the airfoi