Answe the following question:-

(a) What is the largest average velocity of blood flow in an artery of radius 2×10–3m if the flow must remain lanimar? 

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

Asked by Pragya Singh | 1 year ago |  168

1 Answer

Solution :-

Radius of the vein, r = 2 × 10-3 m

Diameter of the vein, d = 2 × 1 × 10-3 m = 2 × 10-3 m

Viscosity of blood ,η = 2.08 x 10-3 m

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

(a) We know, Reynolds’ number for laminar flow, NR = 2000

Therefore, greatest  average velocity of blood is:

VAVG\( \dfrac{ N_{ R }\eta }{ \rho d }\)

\( \dfrac{ 2000 \times 2.084 \times 10^{-3} }{ 1.06 \times 10^{ 3 } \times 4 \times 10^{ -3 }}\)

= 0.983m/s

(b) And, flow rate R = VAVG π r2 

= 0.983 x 3.14 x ( 10-3)2

= 1.235 x 10-6 m3/s

Answered by Abhisek | 1 year ago

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