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    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.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:18 pm ad1c9bdddf
    https://brainmass.com/math/basic-calculus/average-maximum-velocity-flow-blood-38982

    Solution Preview

    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, ...

    Solution Summary

    Average and Maximum Velocity of the Flow of Blood are investigated.

    $2.49

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