The human circulation system has approximately 1 × 109 capillary vessels. each vessel has a diameter of about 8 μm .assuming the cardiac output is 5 l/min, determine the average speed, in centimeters per second, of blood flow through each capillary vessel.

To solve this exercise we must apply the concept of Flow as the measure given to determine the volume of a liquid flowing per unit of time, and that can be calculated through velocity and Area, mathematically this can be determined as

Q = Discharge of Flow

A = Cross sectional Area

Velocity

The area of the cross section of the capillary tube is

The total Area by this formula:

Where,

Stands for area of capillary

n = Stands for number of blood vessels

Finally replacing at our first equation,

Therefore the average speed, in centimeters per second, of blood flow through each capillary vessel is 1.66cm^3/s

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