Abstract
The hydrodynamic flow generated between a biorthogonally stretched membrane and a steadily rotating flow is shown to be an exact self-similar solution to the three-dimensional Navier-Stokes equations. Identifying such exact solutions is significant because these solutions often give illuminating insight into more complex flows. Dual (and in some cases four) solutions are identified for a given ratio of stretching rates and far-field rotation rate, and the stability of these solutions is examined.
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