The trachea in humans has a diameter of about 1.9 cm and at certain times the bl
ID: 1452129 • Letter: T
Question
The trachea in humans has a diameter of about 1.9 cm and at certain times the blood speed through it is about 60 cm/s. The density of whole blood is 1050 kg/m3, and its coefficient of viscosity is 2.7 10-3 N s/m2. What is the Reynolds number for blood flow through the trachea? The aorta in humans has a diameter of about 1.9 cm and at certain times the blood speed through it is about 60 cm/s. The density of whole blood is 1050 kg/m3, and its coefficient the trachea branches into approximately 1000 bronchioles, what the Re in the bronchioles
Explanation / Answer
a)
diameter, d=1.9cm
blood speed, v=60 cm/sec
density of blood, rho=1050 kg/m^3
coefficient of viscosity n = 2.7*10-3 N s/m2
use,
Reynolds number, R=rho*v*D/n
R=(1050*0.6*1.9*10^-2)/(2.7*10^-3)
R=4433.33
b)
diameter, d=1.9cm
blood speed, v=60 cm/sec
density of blood, rho=1050 kg/m^3
coefficient of trachea, n = 1000 bronchioles
use,
Reynolds number, R=rho*v*D/n
R=(1050*0.6*1.9*10^-2)/(1000)
R=11.97*10^-3
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