The buildup of plaque on the walls of an artery may decrease its diameter from 1.1 cm to 0.85 cm . The speed of blood flow was 17 cm/s before reaching the region of plaque buildup.Find the speed of blood flow within the plaque region.Find the pressure drop within the plaque region.

Question
Asked Nov 13, 2019
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The buildup of plaque on the walls of an artery may decrease its diameter from 1.1 cm to 0.85 cm . The speed of blood flow was 17 cm/s before reaching the region of plaque buildup.

Find the speed of blood flow within the plaque region.

Find the pressure drop within the plaque region.

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Expert Answer

Step 1

Use the equation of continuity to solve for the speed of the blood flow within the plaque region.

Av A
A
12
A2
z(d,/2)*
(d,/2)
[2]
d
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Image Transcriptionclose

Av A A 12 A2 z(d,/2)* (d,/2) [2] d

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Step 2

Substitute the values in equation (2) to find the spe...

1.1cm
(17 cm/s)
1/2
0.85 cm
28.47 cm/s
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Image Transcriptionclose

1.1cm (17 cm/s) 1/2 0.85 cm 28.47 cm/s

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