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# (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).

(a)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, Density of blood, ρ = 1.06 × 103 kg/m3 Reynolds’ number for laminar flow, NR = 2000 The largest average velocity of blood is...

(a)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,

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:

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

(b) Flow rate is given by the relation:

R = π r2

Therefore, the corresponding flow rate is.

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