Travelling Taylor vortices between conical cylinders and a cone-cylinder co
mbination are described. The flow results from a rotating inner cone and an
outer shell at rest. Due to different centrifugal forces on the cone's sur
face one obtains a three-dimensional laminar basic flow and regions of subc
ritical and supercritical flows in the annulus. By some specific bifurcatio
n sequences a rich variety of flow patterns occurs. The generated Taylor vo
rtices can be steady or unsteady, toroidal or helical. Depending on differe
nt initial and boundary conditions, toroidal or helical vortices travel thr
ough a closed system. Furthermore, combinations of steady toroidal and unst
eady helical vortices are possible. The influence of the governing paramete
rs is discussed.