The results of an experimental investigation of the flow of a highly d
ilute cationic surfactant solution (tetradecyl trimethyl ammonium brom
ide with added sodium salicylate as counterion, equimolar 2.4 mM) arou
nd a rotating sphere are presented. The flow and the shear-induced pha
se transition are visualized by means of a Toepler Schlieren optics. T
he buildup of the shear-induced structures occurs only above a critica
l shear rate. Once this critical value is exceeded the shear-induced p
hase separation starts after a characteristic deformation with the she
ar rate reduced by the critical one. Further analysis of the obtained
data is performed on basis of an analytical calculation of the flow ar
ound a rotating sphere in a second order fluid (Thomas and Waiters, 19
64; Giesekus, 1965). From some characteristic features of the shear-in
duced structures as induction time and position the parameter describi
ng the elastic properties of the fluid is estimated.