Physics Bernoulli Blood Flow Contradiction

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cafeverona

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I've looked up some threads on this topic, but I still can't get it.

If we consider blood to be an ideal fluid, then we can apply the logic of Bernoulli, which is A1v1 = A2v2. According to this equation, if your artery narrows (due to arteriosclerosis), then the blood flow velocity through the constriction should increase.

However, when I look at the equation I used in physiology --> Flow = deltaP/Resistance, we know that a decreased radius of the artery should lead to an increased Resistance (R is proportional to 1/r^4). And if the Resistance is increased, the blood flow rate should decrease.

Help!

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