The influence of rotation in slow viscous flows

We investigate the secondary streaming motion due to the slow rotation of an axisymmetric body in a rotating viscous fluid. We find in general that for all such bodies the velocities tend to zero at a distance $\text{0(E}{}^{\mathrm{<mtext>1</mtext><mtext>2</mtext>}}\text{)}$ from the body, where E is the (large) Ekman number. Four specific geometries are considered: sphere, spheroid, spherical cap and the double sphere; in all except the first case a small Rossby number has been assumed. The resultant translational force on the spherical cap, where there is no fore-aft symmetry, has been calculated. Further, separated flow in the last two cases can be displayed.