“…If the governing equations are expressed in terms of these coordinates, they can be solved inversely to produce a curvilinear coordinate system which defines the flow. This approach has been used to solve extrusion flows (Clermont and De La Lande 1993, Greywall 1993, Greywall and Bolleddu 1996 and axisymmetric vortex flows in ducts (Keller 1996). Unfortunately, once a flow exhibits a swirl, one of the stream functions becomes multivalued and, so far, a successful strategy for dealing with this has not been found.…”