Creeping Flow Past a Sphere

Oseen's Improvement

Oseen's creeping flow equation includes an approximate inertia term. That is he simplified the Navier-Stokes equation by assuming a constant axial velocity in the inertia term. i.e.,

The so-called Oseen equation then is given as 

Oseen then solved Equation (30) together with the continuity equation given by

He found the following correction for the drag coefficient: