SOLUTION: The pulmonary artery, which pumps blood from the heart to the lungs, has an inner radius of 1.34 mm and is 5.0 cm long. If the pressure drop between the heart and lungs is 420.0 Pa

Question 1129716: The pulmonary artery, which pumps blood from the heart to the lungs, has an inner radius of 1.34 mm and is 5.0 cm long. If the pressure drop between the heart and lungs is 420.0 Pa, what is the volume flow rate of blood in the pulmonary artery? Give your answer in cm3/s. The viscosity of blood at 37�C is 2.1 x 10-3 Pa s.
Answer by ikleyn(52763) (Show Source): You can put this solution on YOUR website!
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It was just solved under this link

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1129641.html

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1129641.html

For your convenience, I place this solution here again.

Use the Hagen-Poiseuille equation


    Q = 


in standard fluid-kinetics notation

  ΔP is the pressure difference between the two ends,
  L is the length of pipe,
  μ is the dynamic viscosity,
  Q is the volumetric flow rate,
  R is the pipe radius.


In your case  Q =  =  m^3/s = 5.06 cm^3/s.


Answer.  5 cubic centimeters per second, approximately.

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On the Hagen-Poiseuille equation, see these links

http://fluid.itcmp.pwr.wroc.pl/~znmp/dydaktyka/fundam_FM/Lecture13.pdf

https://en.wikipedia.org/wiki/Hagen%E2%80%93Poiseuille_equation

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