John,
The device you are looking for is called a viscometer, and there are several different designs. For the paint sprayer you mention, that device works because the paint is relatively thick and is sprayed by mechanical means, not air pressure.
For airbrushing, paint reduction (in viscosity) is much greater. Additionally, the effect of surface tension is correspondingly greater, and that of gravity less, for the small quantities of paint involved.
If you made a simple oriface viscometer (The paint runs through a hole in a container of known size and is timed.) the amount of paint is so small that either it would run out before you could start the timer, or the oriface would have to be so small that it might not run out at all due to surface tension.
That's why airbrushing is as much art as technology. With surprisingly little practice, your eye and brain can learn to judge the viscosity well enough in less time than it would take to make and calibrate a suitable viscometer.