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What is the relationship between gap size (tolerance, clearance) and net force genera

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Old   November 20, 2017, 09:08
Default What is the relationship between gap size (tolerance, clearance) and net force genera
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Foad
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Hello everyone,

I have also asked this question here in SO.

Assuming that we have a pneumatic cylinder-piston with arbitrary but known surface area A, a known clarence c, and a known length L. What is the best model to describe the total steady state force applied on the piston considering the leakage? (the force required to keep the piston in place)



What I'm looking for is an equation in the form of F=f\left(P_1,A, L, c\right). In extreme cases:

- if $c\rightarrow 0$ then F=P_1A is just hydrostatic pressure
- if c is big then F\approx \frac{1}{2}\rho\nu^2C_DA is just air drag


I can calculate leakage from empirical or theoretical models but I don't know how to proceed from there.
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clearance, leakage, pneumatic, tolerances


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