Controllable flows of ideal fibre-reinforced fluids (Q1206696)

It is shown that ideal fibre-reinforced fluids can admit controllable flows which are inadmissible in isotropic fluids. Flows between concentric cylinders are examined. Such flows can be used to determine two of the viscometric functions for fibre-reinforced fluids. If the stress exhibits a linear dependence on the strain-rate tensor, then flows between rotating concentric cylinders are always controllable. They provide a convenient method for determining the relative sizes of the transverse and longitudinal viscosities.