Question

ΔP = 1.88 x 10^4 Pa. Use this answer to estimate the volume flow rate of blood from the head to the feet of a six-foot-tall person assuming an effective radius of 23cm

Answer 1

Answer:
`3765.66 (m^(3))/(s)`

Step-by-step explanation:

We can solve this problem using the Poiseuille equation:

`Q=(\pi r^(4)\Delta P)/(8\eta L)`

Where:

`Q` is the Volume flow rate

`r=23 cm (1 m)/(100 cm)=0.23 m` is the effective radius

`L=6 ft (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=(\pi (0.23 m)^(4)(1.88(10)^(4) Pa))/(8(3(10)^(-3) Pa.s)(1.8288 m))`

`Q=3765.66 (m^(3))/(s)`