Explore BrainMass

# Average and Maximum Velocity : Flow of Blood

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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 &#8804; r &#8804; R. Compare the average velocity with the maximum velocity.

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