The maximum flow rate from the heart is about 0.5 L/sat maximum exrtion. The aor

Question

The maximum flow rate from the heart is about 0.5 L/sat maximum exrtion. The aorta has a diameter of 2.1 cm and the flow is governed by Poiseuille's Law. Assume the viscosity of blood is =2.5x10-3 kg/ms and the blood density is 1060 kg/m3. (1 Litre = 1 x10-3 m3).

a) Calculate the average velocity of the flow.

b) Calculate the maximum velocity at the center of the vessel.

c) Calculate the pressure gradient (P/L) along the vessel.

d) Calculate the Reynolds number at maximum blood flow in the aorta.

Explanation / Answer

Average Velocity V = (4*Q)/(Pie*D^2) = ( 4* 0.5*10^-3) / 3.141* 2.1^2 = 1.448 106-4 m/s

Maximum Velocity = 2* V = 2. 887* 10^-4 m/s

DeltaP/L = (128*Viscosity*Q)/ (Pie*D^4) = 261.87 Pa/m

Reynold number = Row*V* D/ Dynamical viscocity = 1.15*10^-3

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