stokes-creeping-flow-draglisted
Install: claude install-skill ashfordeOU/aero-agent-skills
# Stokes Creeping-Flow Drag (aerodynamics/boundary-layer/stokes-creeping-flow-drag)
Use when you must compute the steady creeping (Stokes, 1851) flow of a
viscous fluid past a sphere at Reynolds number well below one: the
slow-motion solution of the full Navier-Stokes equations with the
inertia terms dropped, in the form Schlichting Boundary-Layer Theory
section 4 presents it. This leaf implements the Stokes streamfunction
and the velocity field about the sphere, the surface pressure and wall
shear, the total drag F = 6*pi*mu*a*U with its exact one-third
pressure (form) to two-thirds friction split, the drag coefficient
Cd = 24/Re_D, the Oseen first-order drag correction and the terminal
settling velocity, in pure Python stdlib, closed form, no iteration.
It is the steady low-Reynolds-number member of the exact-viscous
family, complementing the time-dependent plate Stokes layers of
unsteady-laminar-stokes-layers, and it anchors low-Reynolds-number
body-drag estimates for particle drift and droplet settling checks.
It does not do time-dependent plate Stokes layers, high-Mach
compressible sphere drag, flat-plate boundary layers or parachute
descent balances: incompressible constant-property laminar flow only,
uniform mu and nu, Reynolds numbers in the creeping range.
## Domain quick reference
Spherical polar coordinates (r, theta) with theta measured from the
downstream pole: the uniform stream U runs along +z toward theta = 0
and the windward stagnation point sits at theta