A1v1=a2v2? pressure and velocity are inversely proportional?

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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?
 

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  • #3
Dale
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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
 

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