blood from the rest of the body enters the right atrium of the heart through the

Question

blood from the rest of the body enters the right atrium of the heart through the superior and inferior vena cava. the blood velocity in the superior vena cava with diameter of 20 mm is 15 cm/s . blood then flows out of the right atrium into the right ventricle of the heart at a volumetric flow rate of 300 L/hr. determine the radius of the inferior vena cava if the blood velocity there is 7 cm/s. assume that both vena cava are cylinders. describe the system types in reference to the flowing blood (open vs closed, reacting vs non reacting, and steady state vs dynamic) ( please show all steps)

Explanation / Answer

Using

equation of continuty

A1*V1 = 300 L/hr =300 *10^-3 m^3 /(3600*S) = 8.33*10^-5 m^3/sec

pi*r^2*v1 = 8.33*10^-5

3.142*r^2*0.07 = 8.33*10^-5

r = 0.01946 m = 1.946 cm

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