Answer:
Womersley numbers : 22.25 , 5.96 , 3.72
Explanation:
Calculate the Womersley number if the heart rate = 70 bpm
<u>For the Human Aorta </u>
∝ = r ------ ( 1 )
r = radius = 15 mm = 0.015 m
w = 2πf = 2 * π * 70 = 439.82
p = density of blood = 1060 kg/m^3
u = 0.035 P = 3.5 cp = 3.5 * 10^-3 Ns/m^2
Back to equation ( 1 )
∝ = 0.015 * = ( 0.015 * √466209.2 / 0.21 ) = 22.35
<u> For Carotid artery </u>
r = 0.8 cm / 2 = 0.4 cm = 0.004 m
w = 2πf = 439.82
Womersley number = ( 0.004 * √466209.2 / 0.21 )
= 0.004 * 1489.981 = 5.96
<u>For Femoral artery</u>
r = 0.5 cm / 2 = 0.25 cm = 0.0025 m
Womersley number = 0.0025 * √466209.2 / 0.21 )
= 0.0025 * 1489.981 = 3.72
The flow is unsteady because of the varying Womersley numbers