Stokes Paradox & Oseen Correction

In 2D Stokes flow (Re→0), there is no solution for flow past a cylinder — Stokes paradox. The Oseen correction adds convective inertia, regularizing the far field. Visualize streamlines around a cylinder as Re varies.

Reynolds Number Re Re = 0.50 Cylinder Radius r = 35

ψ_Oseen = U[r sinθ − (2/Re)(1−cosθ)(1−e^(−Re·r(1+cosθ)/2))/r]