Question

A small blood vessel near the skin surface has a radius of 10 μm, a length...

A small blood vessel near the skin surface has a radius of 10 μm, a length of 1 μm and the pressure drop along the blood vessel is 2.50 Pa. The viscosity of blood is 0.0027 Pa.s.
i. What is the volume flow rate of blood through this blood vessel? What is the velocity of blood flow? [6 marks]
ii. Vasodilation causes the radius of this blood vessel to increase to 12 μm, while leaving the pressure drop along the vessel unchanged? What is the volume flow rate through this blood vessel now? What is the velocity of blood flow?

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