Pneumatic flow formula

I'm looking for a pneumatic formula in order to have the flow. I found many formula, but only for hydraulic :

$\mathrm{\Delta}P={R}_{p}Q$ where ${R}_{p}$ is the resistance, $Q$ the flow, and $\mathrm{\Delta}P$ the pressure potential:

${R}_{p}=\frac{8\eta L}{\pi {R}^{4}}$

with $\eta =$ dynamic viscosity of the liquid ; $L=$ Length of the pipe ; $R=$ radius of the pipe

I don't know if I can use them, since I'm in pneumatic ! After doing research on the internet, I found some other variables like : sonic conductance, critical pressure coefficient, but no formula...

I think that I have all the information in order the calculate the flow : Pipe length = 1m ; Pipe diameter = 10mm ; $\mathrm{\Delta}P=$ 2 bars

Thanks !

I'm looking for a pneumatic formula in order to have the flow. I found many formula, but only for hydraulic :

$\mathrm{\Delta}P={R}_{p}Q$ where ${R}_{p}$ is the resistance, $Q$ the flow, and $\mathrm{\Delta}P$ the pressure potential:

${R}_{p}=\frac{8\eta L}{\pi {R}^{4}}$

with $\eta =$ dynamic viscosity of the liquid ; $L=$ Length of the pipe ; $R=$ radius of the pipe

I don't know if I can use them, since I'm in pneumatic ! After doing research on the internet, I found some other variables like : sonic conductance, critical pressure coefficient, but no formula...

I think that I have all the information in order the calculate the flow : Pipe length = 1m ; Pipe diameter = 10mm ; $\mathrm{\Delta}P=$ 2 bars

Thanks !