Analytical Functions¶

Built-in truth functions for pipeline validation — zero CFD required.

cl_flat_plate¶

from prandtl.analytical import cl_flat_plate
Y = cl_flat_plate({"alpha": 5.0, "camber": 0.04})
# → {"CL": 0.632}

Thin airfoil theory: CL = 2π(α + 2camber), α in degrees.

Parameter	Unit	Range
`alpha`	degrees	[-20, 20]
`camber`	fraction	[0, 0.15]

from prandtl.analytical import cd_cylinder
Y = cd_cylinder({"Re": 1000.0})
# → {"CD": 2.0}

Laminar cylinder drag: CD = 24/Re + 6/(1+√Re) + 0.4

Parameter	Unit	Range
`Re`	—	[0.1, 1e5]

from prandtl.analytical import thrust_propeller
Y = thrust_propeller({"rpm": 5000.0, "pitch": 0.3, "diameter": 0.5})
# → {"T": 12.5}

Momentum theory thrust: T = ρ·n²·D⁴·C_T(pitch/D)