Velocity of the blood that flows in a vessel with radius and length at a distance fom the central axis is

.

Where, is pressure difference between the ends of the vessel and

is the viscocity of the blood .

Find the average velocity over the interval .

Average value of the function on is defined as .

Here .

Average velocity of is

.

Average value of the velocity is .

Consider .

Differntiate on each side with respect to .

Determine the maximum velocity by equating to zero.

.

Velocity reached its maximum, when .

Therefore, maximum velocity is

Compare the average velocity with maximum velocity.

and .

Hence the average velocity is of the maximum velocity.

Average value of the velocity is .

Average velocity is of the maximum velocity.