Originally Posted by
icecyc1
I'll admit, for a moment your interpretation of the formula confused me. But where you are in error is the interpretation of the variables. In short: P= density of the fluid, V= Velocity of the fluid, D= Diameter of the hole, U= viscosity.
The key is thinking with the FLUID in mind. As you change the diameter of the hole, let's say to smaller holes, and assuming the same velocity of the piston in the shock, the same amount of fluid must pass through a smaller opening... making the fluid velocity FASTER, causing the Re number to increase when the diameter gets smaller.
If you like, I can post a picture of the formulas used to prove the above statement (I actually wrote it all down so I could convince myself I wasn't thinking crazy). But if you want to skip the steps in between, the final answer for the Reynolds number (assuming everything is constant except the hole diameter) is:
Re = (P*Vp*Dp^2)/(u*n*Dh)
Where P=density, Vp=Velocity of piston, Dp=Diameter of piston, u=viscosity, n=# of holes... And Dh is hole diameter.
With only the Hole diameter as a variable, it's in the denominator, so as it decreases, the Re number increases.
Ah this adds more confusion actually hehe. I think google led me to the wrong or different formula.
http://ocw.mit.edu/courses/mechanica...bulentFlow.pdf
This formula shows D (hole diameter) as the numerator.
The formula you shared has the D (hole diameter) as the denominator, so we would get opposite results depending on which formula is correct.
I did more digging and I see both examples so I'm not sure which is the right one to apply for our application.