The buildup of plaque on the walls of an artery may decrease itsdiameter from 1.

Question

The buildup of plaque on the walls of an artery may decrease itsdiameter from 1.1 cm to 0.89 cm. The speedof blood flow was 12 cm/s before reachingthe region of plaque buildup. (a) Find the speed of blood flow within theplaque region.
1 cm/s

(b) Find the pressure drop within the plaque region. (Assume thatblood has the same density as water.)
2 Pa (a) Find the speed of blood flow within theplaque region.
1 cm/s

(b) Find the pressure drop within the plaque region. (Assume thatblood has the same density as water.)
2 Pa

Explanation / Answer

a) From the equation of continuity             A1v1 = A2v2              v2=(d1/2/d2/2)2(v1)                  = (1.1cm/0.89cm)2(0.12m/s)                  = 0.1833 m/s b) The pressure difference is              P = (1/2)[v22-v12]                    = (1/2)(1000 kg/m3)[(0.1833m/s)2-(0.12 m/s)2] Simplifying we get the answer. b) The pressure difference is              P = (1/2)[v22-v12]                    = (1/2)(1000 kg/m3)[(0.1833m/s)2-(0.12 m/s)2] Simplifying we get the answer.

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