Answer to Question #134776 in Physics for Victory

Question

Determine the pressure drop along a venue of the length L and the radius R, if the viscosity of blood is n and the speed of blood at the central layer of the v enule is Vo

Answer 1

According to Poiseuille’s law:

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

The flow can be roughly expressed in terms of the speed of blood at the central layer:

$$Q=\pi R^2v_0$$

Therefore, the pressure drop is

$$\Delta p=\frac{8\eta Lv_0}{R^2}$$