What is the largest average velocity of blood flow in an artery of radius 2xx10^(-3)m if the flow must remain laminar > (b) What is the corresponding flow rate ? (Take vicosity of blood to be 2.084xx10^(-3)Pa s).

What is the largest average velocity of blood flow in an artery of rad

1.	What is the largest average velocity of blood flow in an artery of radius 2xx10^(-3)m if the flow must remain laminar > (b) What is the corresponding flow rate ? (Take vicosity of blood to be 2.084xx10^(-3)Pa s).
Answer» Solution :Density of blood `rho=1.06xx10^(3)KGM^(-3)` Radius of the artery `r=2xx10^(-3)` The COEFFICIENT of viscosity of blood, `eta=2.84xx10^(-3)`Pas For streamline flow `N_(R)=2000` (a) Suppose the largest AVERAGE velocity of blood is v, Reynold.s number `R_(e)=(RhovD)/(eta)` `thereforev=(R_(e)eta)/(rgoD)` `(2000xx2.084xx10^(-3))/(1.06xx10^(3)xx2xx2xx10^(-3))` `=983xx10^(-3)` `=0.983` `thereforev=0.98ms^(-1)` (b)Suppose flow ate of blood is V, `thereforeV=` arrea of cross section of artery `xx` velocity of blood `=pir^(2)xxv` `=3.14xx(2xx10^(-3))^(2)xx0.98` `=12.3xx10^(-6)` `=1.23xx10^(-5)m^(3)s^(-1)`