Mathematics, 12.03.2020 16:16 zmoore8015
The velocity v of blood that flows in a blood vessel with radius R and length l at a distance r from the central axis is
v(r)= P/4ηI(R^2- r^2))
where P is the pressure difference between the ends of the vessel and η is the viscosity of the blood. Find the average velocity (with respect to r) over the interval 0 ≤ r ≤ R. Compare the average velocity with the maximum velocity.
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