Question

What is the corresponding flow rate? (Take viscosity of blood to be 2.084 x 10⁻³ Pa s).

Answer 1

Radius of the artery, r = 2 × 10–3 m

Diameter of the artery, d = 2 × 2 × 10–3 m = 4 × 10– 3 m

Viscosity of blood, η = 2.084 X 10-3 Pa s

Density of blood, ρ = 1.06 × 103 kg/m3

Reynolds’ number for laminar flow, NR = 2000

The largest average velocity of blood is given by the relation:

Varg = NRη / ρd

= 2000 × 2.084 × 10-3 / (1.06 × 103 × 4 × 10-3)

= 0.983 m/s

Therefore, the largest average velocity of blood is 0.983 m/s.

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