While Stokes flow past an infinite cylinder cannot be solved exactly, an approximate solution derived by Lamb Eric Weisstein's World of Biography is
where Re is the Reynolds number.
Stokes' paradox notes that for viscous flow around an infinite cylinder, Eric Weisstein's World of Math no solution to the low-Reynolds number Navier-Stokes equations can be found which satisfies the boundary conditions both at the surface and infinity.
Stokes Flow--Sphere, Stokes Paradox