If the radius of the outflow tube is 1 cm and the LVAD pump generates a pressure of 45 mm Hg, what is the velocity of blood through the outflow tube if peripheral resistance is 1 mm Hg⋅s⋅mL-1?

Answer: v = 14 cm/s

Explanation:

Using the formula Blood Flow = Change in pressure/Resistance

Mathematically represented as Q = P/R

where P = 44 mmHg, R = 1 mmHg·s/ml

Q = (44/1) ml/s

Q = 44 ml/s or 44 cm^3/s

Using the formula Velocity = blood flow/cross sectional area

Mathematically represented as v = Q/A

where r = 1 cm, A = π·r^2 = π x 1 x 1 = 3.142 cm^2

1 ml = 1 cm^3, this implies that Q = 44 ml/s = 44 cm^3/s

v = (44 / π) cm/s

v = 14 cm/s

I hope this is clear?