Average and Maximum Velocity : Flow of Blood
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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/4(eta)l)(R^2-r^2)
where P is the pressure difference between the ends of the vessel and (eta) 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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Solution Summary
Average and Maximum Velocity of the Flow of Blood are investigated.
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The average over a domain [a,b] for a function f(x) is absolute value of (f(b) - f(a))/(b-a)
Then irrespective of the parameters for the blood velocity we have v(r) = K(R^2-r^2)
v(R) = 0, ...
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