How Do You Calculate Air Flow Velocity Between Two Tanks?

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SUMMARY

To calculate air flow velocity between two tanks, one at 1 bar atmospheric pressure and the other under vacuum, it is essential to consider the internal diameter of the connecting pipe, its length, and the temperature of the air. Initially, the flow will be choked due to the pressure difference, but as the pressures equalize, the flow will transition to an un-choked state. Bernoulli's principle is not applicable in this scenario due to the unsteady nature of the flow.

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This might be simple but I can't remember how to do it.

problem: we have 2 tanks. One filled with atmospheric air at 1 bar and the other is vacuum. The two tanks are connected by a rigid pipe which has a valve. I open the valve and air flows to the vacuum tank. How do I calculate the air velocity?

P.s: I don't think Bernoulli is valid here because the flow isn't steady I guess. Please state your assumptions clearly.

Thanks in advance
 
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Flow velocity depends on the thickness and length of the pipe, and on the temperature of the air.
 
Instead of 'thickness' of the pipe, the term 'internal diameter' would be more apt.
 
Also pay attention to the pressures. The flow is going to start off choked but will eventually un-choke as the pressures equalize.
 

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