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- How to adjust bar to maintain the same helium flow rate from larger to smaller tubes

I’m not at all sure I’m posting this in the right forum. If not, please forgive me. Also, I have no background in physics. That said, here goes:

If 2bar of helium flowing through a 9.0mm inner diameter tube yields a flow rate of 15 liters per minute, what bar would one need to yield an identical flow rate through a 3.2mm inner diameter tube? Considering that the larger (9.0mm) tube is about 2.8 times larger than the smaller (3.2mm) one, would one just multiply 2bar by 2.8, which would equal about 9bar? I’m guessing not. So is there a formula one could use to determine what new bar one would need to yield an identical flow rate?

If 2bar of helium flowing through a 9.0mm inner diameter tube yields a flow rate of 15 liters per minute, what bar would one need to yield an identical flow rate through a 3.2mm inner diameter tube? Considering that the larger (9.0mm) tube is about 2.8 times larger than the smaller (3.2mm) one, would one just multiply 2bar by 2.8, which would equal about 9bar? I’m guessing not. So is there a formula one could use to determine what new bar one would need to yield an identical flow rate?