Flow Rate & Bernoulli: Solving Artery Blockage

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Homework Statement



When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate in the artery has been reduced to 10% of its normal value by a blood clot and the average pressure difference has increased by 20% by what factor has the clot reduced the radius of the artery.

Homework Equations





The Attempt at a Solution


Totally lost on how to start this one, I kind of think that the following equation has something to do with it, bu not sure

D=sqrt(4Q/piv) where v= velocity Q = volumetric flow rate
 
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slksrkhrr said:
When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate in the artery has been reduced to 10% of its normal value by a blood clot and the average pressure difference has increased by 20% by what factor has the clot reduced the radius of the artery.
…
D=sqrt(4Q/piv) where v= velocity Q = volumetric flow rate

ok, now combine that with Bernoulli's equation …

what do you get? :smile:
 

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