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 0.77 cm. The speedof blood flow was 17 cm/s before reachingthe region of plaque buildup. (a) Find the speed of blood flow within theplaque region.
cm/s

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

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

Explanation / Answer

  From equation of continuity      A1 v1 = A2 v2    v2 = ( A1 v1) / A2 = (0.552*17) / ( 0.385) 2 = 34.69cm/s       From Bernoulli's      P1 + 1/2 v12 = P2+ 1/2 v22   P1 - P2 = 1/2 ( v22 - v12 ) =  1/2103 ( 0.3469 2 -0.172 ) = 45.72 N/m2   

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