At a pressure of 120 mmHg, the volume flow rate of blood in an artery is 100 cm³/min. If the radius of this artery is decreased by stenosis to 70%, how much pressure would be required to maintain the original volume flow rate?
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For fixed viscosity η, length L and constant flow Q, the pressure drop ΔP is proportional to 1/r^4. Show more…
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Suppose a normal coronary artery has a volume flow rate of 100 cm/min when the person's average blood pressure is 120 mmHg. Hint: Use Poiseuille's Law. Calculate the flow rate if the internal radius of that artery was reduced to 75% of its normal value. If all blood vessels were similarly affected, what blood pressure alone would be required to restore the normal volume flow rate of 100 cm/min?
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