Answer to Question #98859 in Physics for Janay

Question

A small artery has a length of 1.1x10 m and a radius
of 2.5x 10 m . If the pressure drop across the artery is
1.3.kPa, what is the flow rate through the artery? (Assume
that the temperature is 37°C.)

Answer 1

$$\eta = 2.1\cdot 10^{-3} \frac{Ns}{m^2}$$

Hagen–Poiseuille equation:

$$\Delta p =\frac{ 8\eta LQ}{\pi R^4}$$

$$(1.3\cdot 10^{3}) =\frac{ 8(2.1\cdot 10^{-3})(1.1\cdot 10^{-3})Q}{\pi (2.5\cdot 10^{-5})^4}$$

$$Q=8.7\cdot 10^{-11}\frac{m^3}{s}$$