In the condition known as atherosclerosis, a deposit or atheroma forms on the arteral wall and reduces the openin through which blood can flow. in the carotid artery in the neck, blood flows ten times faster through a partially blocked region than it does through an unobstructed region. determine the ratio of effective radii of the artery at the two places

Question

Biology

Asa Schultz

2 January, 22:04

In the condition known as atherosclerosis, a deposit or atheroma forms on the arteral wall and reduces the openin through which blood can flow. in the carotid artery in the neck, blood flows ten times faster through a partially blocked region than it does through an unobstructed region. determine the ratio of effective radii of the artery at the two places

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Rylan Hughes · Answer 1

Blood like most liquids, is incompressible, and the equation of continuity in the form of A1v1 = A2v2 can be applied. We also have to use the fact that the area of a circle is πr2 unobstructed volume flow rate (πrU2) vU = (πrO2) vO obstructed volume flow rate The ratio of radii then is given by: rU/rO = sqrt[vO/vU] = sqrt (3) = 1.7