Engineering Riddle – No. 5 (Fluid Mechanics) “Dimensionless”

I’m a fraction made of forces, comparing different strength
I have no final units, only characteristic length
I sample speed and weight and size, these are the things I measure
My subject as it ebbs and flows, changes shape forever
On top I show inertia, the power to keep things steady
Below I measure thickness, stickiness and eddy
In pipe or duct or channel, o’er wings be smooth, or rough
I’ll tell you dominant motive, whether sheering’s weak or tough
 
What am I?

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