(a) What is the largest average velocity of blood flow in an artery of radius `2xx10^(-3)m` if the flow must remian laminar?
(b) What is the corresponding flow rate? Take viscosity of blood to be `2.084xx10^(-3)Pa-s`. Density of blood is `1.06xx10^(3)kg//m^(3)`.

Explanation

`r= 2 xx 10^(-3) m`
`D=4 xx 10^(-3) m`
For laminar flow, `N_(R)=200," taking "N_(R)=2000`
`v_(c) ("critical velocity")=(N_(R) eta)/(pD)`
`=(2000 xx 2.084 xx 10^(-3))/(1.06 xx 10^(3) xx 4 xx 10^(-3))`
`=0.983 ms^(-1)`.
Volume of blood flowing per second `=Av_(c)`
`=pir^(2) v_(c)`
`=3.14 xx (2 xx 10^(-3))^(2) xx 0.983`
`=1.23 xx 10^(-5) m^(3) s^(-1)`.