If I make no mistake, dynamic viscosity $\eta$ is measured in $ \rm kg /(s\, m) $. And volume is measured in $\rm m^3$.
The product of the two has the same units of Planck's quantum of action $\hbar$, namely $ \rm kg\, m^2 /s $. Does this mean that there is a uncertainty relation between volume and viscosity?
I have not found anything of the kind in the literature; however, usually, two quantities whose product has the units of $\hbar$ follow a uncertainty relation, such as position and momentum, phase and angular momentum, or energy and time.
So the question is: is there a relation of the type
$$ \Delta \eta \, \Delta V \geq \hbar \ \ ?$$
This is a question about the measurement precision of physical observables: can the simultaneous measurement of the viscosity and the volume of a fluid have measurement errors that are independent of each other and can be a small as desired?
If no such relation existed, then the right hand would be zero, and then it seems that it should be possible to circumvent the usual uncertainty relation between momentum and position.