How Do You Calculate Air Flow Velocity Between Two Tanks?

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To calculate air flow velocity between two tanks, consider the internal diameter and length of the connecting pipe, as well as the temperature of the air. The initial flow will be choked due to the pressure difference, starting from atmospheric pressure at 1 bar to a vacuum. As the pressures equalize, the flow will transition to an un-choked state. Bernoulli's principle may not apply due to the unsteady flow conditions. Accurate calculations require clear assumptions regarding these variables.
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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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