Some simple solutions are presented to the unsteady Stokes flow equati
ons which describe the development of the slow viscous flow due to a l
ine rotlet. Four different geometries are considered, with the rotlet
(a) in front of a plane wall, (b) inside a circular cylinder, (c) outs
ide a circular cylinder, (d) between two parallel walls; also, the dev
elopment is considered (i) after the impulsive introduction of a poten
tial vortex, and (ii) after the impulsive introduction of a line sourc
e of angular momentum. Separation occurs in all these situations, and
one is able to trace the movement of the separation points, and the fo
rmation of eddies, for different times. A number of distinctive physic
al phenomena are detected.