Abstract
In this note I discuss some consequences of the balance of inertia and normal stresses in nearly steady slow motions. I argue that the fluid's elasticity cannot be determined from its extensional viscosity. A formula is given for the extensional viscosity at quadratic order in the stretch rate and show that one and the same intensity factor for the extensional viscosity arises universally as the intensity factor for the non-Newtonian contribution to the vorticity. It is argues that the appearance of intense vortices and relatively large extensional viscosities are linked in nearly steady slow flow.
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