The Bernoulli principle from the perspective of statistical mechanics

[mfduqued]

Hi community,

I have a question about the Bernoulli principle. From statistical mechanics the pressure in the ideal gas is independent of velocity.

But in the case of the flow of an ideal gas in a channel, the pressure depends on the velocity.

Where can I clarify this misunderstanding?

Thanks for your time, and any suggestion

 

[BvU]

From statistical mechanics the pressure in the ideal gas is independent of velocity.

Under what circumstances does SM derive this statement of independency ?