Flow separation in a viscous parabolic shear past a cylinder

Low Reynolds number parabolic shear flow past a circular cylinder, placed asymetrically with its centre at a distance $\text{k}$ from the shear axis, is investigated employing matching technique. The analysis of flow separation indicates coalescion of wakes with increasing $\text{k}$. The drag is governed by a parameter λ which changes sign depending on the magnitude of $\text{k}$, while the torque is proportional to $\text{k}$. The case of a rotating cylinder including free rotation is also discussed.