Question

if change in blood pressure between the brain and the feet is 1.88×10^4 pa .what will be the volume flow rate from head to feet of yhe 6feet person if his radius is 23cm​

Answer 1

Answer: $3765.66 \frac{m^{3}}{s}$

Explanation:

We can solve this problem using the Poiseuille equation:

$Q=\frac{\pi r^{4}\Delta P}{8\eta L}$

Where:

$Q$  is the Volume flow rate

$r=23 cm \frac{1 m}{100 cm}=0.23 m$  is the effective radius

$L=6 ft \frac{0.3048 m}{1 ft}=1.8288 m$  is the length

$\Delta P=1.88(10)^{4} Pa$  is the difference in pressure

$\eta=3(10)^{-3} Pa.s$ is the viscosity of blood

Solving:

$Q=\frac{\pi (0.23 m)^{4}(1.88(10)^{4} Pa)}{8(3(10)^{-3} Pa.s)(1.8288 m)}$

$Q=3765.66 \frac{m^{3}}{s}$