stagnation-flow-boundary-layerlisted
Install: claude install-skill ashfordeOU/aero-agent-skills
# Stagnation-flow boundary layer (aerodynamics/boundary-layer/stagnation-flow-boundary-layer)
The laminar boundary layer at a low-speed stagnation point or leading
edge (spinner tip, radome nose, wing or fin leading edge) is an
attachment-line flow: the inviscid surface speed rises linearly with arc
length s from the attachment point, u_e = a * s, and the layer obeys the
Hiemenz (2-D) or Homann (axisymmetric) exact similarity solution. This
leaf sizes that layer with a deterministic closed-form core: the
potential-flow stagnation velocity gradient a from the body radius and
freestream speed, the constant 99-percent laminar boundary-layer
thickness delta = 2.4 sqrt(nu / a) that does not grow along the
attachment region, the wall shear tau_w = mu u_inf sqrt(a / nu) fpp
with the classical similarity wall-shear constant fpp (1.2326 Hiemenz,
1.3119 Homann), and the skin-friction coefficient Cf = tau_w / (0.5 rho
u_inf^2), plus the swept-edge crossflow treatment for infinite yawed
cylinders. The full similarity ODEs are NOT integrated; only their
classical constants enter, so every function is pure stdlib, offline and
reproducible. This is the low-speed laminar momentum boundary layer
only: heat transfer is out of scope. It pairs with
boundary-layer-theory (smooth-surface layer sizing away from the
attachment line), boundary-layer-transition and boundary-layer-separation
(streamwise layer evolution), and aerodynamic-heating (stagnation
convective heating at high speed).
## Domain