Question

(a) What is the largest average velocity of blood flow in an artery of radius 2 × 10–3 m if the flow must remain laminar?
(b) What is the corresponding flow rate? (Take viscosity of blood to be 2.084 × 10–3 Pa s).

Answer 1

Here,
Radius of artery (r) = 2 × 10^-3 m
diameter of artery ( D) = 2 × r
= 2 × 2 × 10^-3 m
density of whole blood ( d) = 1.06 × 10³ kg/m³
coefficient of viscosity of blood (n) = 2.084 × 10³ Pa-s

For laminar flow maximum value of Reynolds number ( Kr) = 2000

(a) largest average velocity ( critical velocity) = K × n/d.D
= 2000 × 2.084 × 10³/1.06 × 4 × 10^-3
= 0.983 m/s ≈ 0.98 m/s

(b) flow rate of blood = volume of blood flowing per second
= Area × largest average velocity
= πr² × V
= 3.14 × (2 × 10^-3)² × 0.98
= 1.24 × 10^-5 m³/s

Answer 2

Answer:

here is ur answer plz go through it