A1v1=a2v2? pressure and velocity are inversely proportional?

[Fizzizist]

If Bernoulli's equation P + 1/2ρv² + ρgh = constant, implying that pressure decreases as velocity increases, and the Venturi effect states that a₁v₁ = a₂v, what resolves this apparent contradiction? The velocity slows as the cross sectional area increases, but a narrower pipe would have greater pressure?

 

[Chestermiller]

I don't see any contradiction.

 

[Dale]

what resolves this apparent contradiction?

There is no contradiction to resolve.

The velocity slows as the cross sectional area increases, but a narrower pipe would have greater pressure?

You have this backwards. A larger pipe has greater pressure. That is why brain aneurysms are dangerous