I have done some work with sizing mixers, and the formula has quite a few variables.
You may be able to come up with a number, but I doubt it would be very accurate. Type of mixer, vessel shape, impeller speed will all have an effect.
Probably the most accurate way would be to test with two or three products of a know viscosity and interpolate a aproximation from there.
It will also depend on whether the product is Newtonian, Thixotropic, or Dilatent (if they get thinner, thicker or stay the same due to the mixing affect)
If you are using the same product, and just working on something as simple as adding water to a mix until it reaches a set-point you may have some success.