Suppose we have an infinite amount of a non viscous liquid (No boundary). Inside that liquid works a rotating impeller. Can the impeller agitate the liquid at all?
The question arise from thinking about "What is quantum about a super fluid?". I mean in a super fluid, the impeller does agitate the liquid, but that agitation depends in a quantized manner on the speed of the impeller. So the question is, if we suppose a non viscous fluid would behave with respect to classical fluid dynamics instead, would there be no agitation at all, or else a continuous agitation, that depends in a non quantized way on the speed of the impeller?
Maybe I should add, that with agitation I mean some transport of energy or momentum/velocity, creating a vortex or something in some distance to the impeller.