Plaque in an artery: the buildup of plaque on the walls of an artery may decrease its diameter from 0.98 cm to 0.75 cm. if the speed of the blood (rhoblood = 1060 kg/m3 ) flow was 10 cm/s before reaching the region of the plaque buildup, find the speed of the blood flow in the plaque region. assume both regions have a roughly circular cross-section

To solve this problem it is necessary to apply the concept related to continuity equations and fluid pressure changes.

Where

= Cross-sectional Area at each section

= Velocity at each section

Rearranging to find the value of the velocity at section 2 is

The velocity at the end is 17.07cm/s

Finally the pressure change can be expressed as:

Replacing we have,

Therefore the total change at pressure is 10.14Pa