Flow Rate & Bernoulli: Solving Artery Blockage

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In summary, the question asks for the reduction factor of the radius of an artery when the flow rate is reduced to 10% of its normal value by a blood clot, and the average pressure difference has increased by 20%. Combining the given equation D=sqrt(4Q/piv) and Bernoulli's equation, we can find the answer by solving for the unknown radius factor.
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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.

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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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Welcome to PF!

Welcome to PF! :smile:

(have a pi: π :wink:)
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:
 

1. What is flow rate and how is it related to artery blockage?

Flow rate is the volume of fluid that flows through a given point in a specific amount of time. In the case of artery blockage, a decrease in flow rate can occur due to the narrowing of the artery, which can lead to reduced blood flow to vital organs and tissues.

2. How is Bernoulli's principle used to solve artery blockage?

Bernoulli's principle states that as the speed of a fluid increases, its pressure decreases. This principle is used to solve artery blockage by creating a pressure difference between the narrow area and the wider area of the artery. This pressure difference helps to push the blockage through the artery, restoring normal blood flow.

3. What factors affect flow rate in an artery?

The factors that affect flow rate in an artery include the size of the artery, the viscosity of the blood, and the pressure difference between the two ends of the artery. Any blockage or narrowing of the artery can also affect flow rate.

4. Can flow rate be measured and monitored in the human body?

Yes, flow rate can be measured and monitored in the human body through various techniques such as Doppler ultrasound, MRI, and catheterization. These methods allow medical professionals to assess the health of blood vessels and detect any abnormalities in flow rate.

5. How can artery blockage be prevented?

Artery blockage can be prevented by maintaining a healthy lifestyle, which includes regular exercise, a balanced diet, and avoiding smoking and excessive alcohol consumption. It is also important to manage any underlying health conditions such as high blood pressure and high cholesterol levels, as these can contribute to the development of artery blockage.

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