Flow Rate
How does a blockage affect the expected flow rate?

Using the hagen-poiseuille equation fror expected blood flow, how would a blockage of halving the cross sectional area of the vessel effect the expected flow rate?

Q = (/_\P x pi x r^4) / (8 x viscosity x length of vessel)

is it as simple as halving the radius?

Yes, but take ½ the area, not ½ the radius. Since for a circle, area = πr², the radius would be √2 / 2 times the initial radius.

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Physics II A1- Volume Flow Rate Part I