Amajor artery with a 1.6 cm2 cross-sectional area branches into 18 smaller arteries, each with an average cross-sectional area of 0.7 cm2. by what factor is the average velocity of the blood reduced when it passes into these branches?

To solve this problem it is necessary to apply the continuity equations for which it is defined that the proportion of Area in the initial section is equal to the final section. In other words,

Where,

Cross sectional area at each section

Velocities of fluid at each section

The total area of the branch is eighteen times of area of smaller artery. The average cross-sectional area of each artery is

Therefore the Cross-sectional area at the end is

Applying the previous equation we have then

The ratio of the velocities then is

Therefore the factor by which the velocity of blood will reduce when it enters the smaller arteries is 0.1349

spectral lines lyman is one set