Question

Consider a healthy artery, with blood flow velocity of 0.14m/s and density of ρ=1050kg/m3. Suppose that...

Consider a healthy artery, with blood flow velocity of 0.14m/s and density of ρ=1050kg/m3.
Suppose that plaque has narrowed an artery to one-fifth of its normal cross-sectional area (an
80% blockage). Treat the blood as a completely ideal fluid (no viscosity)
A) What will be the velocity of the blood through the blockage?
B) How much will the pressure in the blood change as it passes through the blockage?

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Homework Answers

Answer #1

(a)

Use continuity equation

A1v1 = A2v2

A1 * 0.14 = 1/5 * A1 * v2

0.14 = 1/5 * v2

v2 = 0.7 m/s

_____________

(b)

change in pressure at blockage site

P = - ( / 2) ( v22 - v12)

P = - (1050 / 2) ( 0.72 - 0.142)

P = - 247 Pa

this means there is dangerous drop in pressure and can lead to serious complications.

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