mangler-axisymmetric-transformlisted

# Mangler Axisymmetric-Body Transform (aerodynamics/boundary-layer/mangler-axisymmetric-transform) Use when you must map the steady laminar incompressible boundary layer on a slender axisymmetric body of revolution or a sharp cone into an equivalent 2-D flow with the Mangler transformation (Mangler, 1948, in the form Schlichting Boundary-Layer Theory, boundary layers on bodies of revolution, and White Viscous Fluid Flow present it). This leaf implements the geometry mapping: the transformed running length xi = integral (r0/L)^2 dx, the transformed normal coordinate ybar = (r0/L)*y, the power-law body closed forms, and the sharp-cone closed-form ratios at equal running length, in pure Python stdlib, closed form, no iteration. On a sharp cone the transformed flow is the Blasius zero-pressure-gradient layer, so the mapping closes: wall shear and skin friction are sqrt(3) times the flat-plate values at the same running length, and the 99-percent, displacement and momentum thicknesses are 1/sqrt(3) times the flat-plate values, the thinner higher-shear cone layer. It consumes the flat-plate baseline values as arguments from the sibling boundary-layer-theory correlations and outputs only the cone-scaled values and the transform coordinates: it owns no skin-friction or thickness correlation, no stagnation-point layer, no compressible flow and no heat transfer, which stay with the sibling leaves listed below. Laminar incompressible steady flow only, constant nu; the cone edge velocit