unsteady-laminar-stokes-layerslisted
Install: claude install-skill ashfordeOU/aero-agent-skills
# Unsteady Laminar Stokes Layers (aerodynamics/boundary-layer/unsteady-laminar-stokes-layers)
Use when you must compute the exact unsteady laminar Stokes layer of
an infinite flat plate in a quiescent half-space: the closed-form
solutions of the one-dimensional vorticity diffusion equation
u_t = nu * u_yy for a plate impulsively started at t = 0 (Stokes first
problem, the Rayleigh layer) and for a plate oscillating in its own
plane (Stokes second problem). The time-dependent layer is the
unsteady member of the exact-viscous family whose steady members are
already in the tree: the Blasius flat-plate boundary layer
(boundary-layer-theory) and the shear-driven Couette gap
(compressible-couette-flow). The aeroelasticity leaves cover only
inviscid indicial airfoil response, so no existing leaf owns
time-dependent laminar shear layers over a plate. Fully closed form,
pure stdlib, no iteration. It does not do steady boundary layers,
regime classification, Couette gap flow or inviscid oscillating-airfoil
aerodynamics; incompressible constant-property laminar flow only, with
uniform nu.
## Domain quick reference
- Diffusion balance: u_t = nu * u_yy over the half-space y >= 0 above
a plate at y = 0 in fluid at rest. Module constants: NU_AIR =
1.46e-5 m2/s, RHO_AIR = 1.225 kg/m3, DELTA99_COEF = 3.6428
(2 * 1.8214, where erfc(1.8214) = 0.01). Dynamic viscosity is always
derived mu = rho * nu, never an input.
- Stokes first problem (impulsive start, Rayleigh layer): the plate