Poiseuille Flow

#Physics

$\displaystyle v_{z}(r)=\frac{R^{2}}{4\eta} \frac{\Delta P}{L}\left( 1-\frac{r^{2}}{R^{2}} \right)$

• The flow velocity in the direction of the tube
• $\displaystyle R$ is the radius of the tube
• $\displaystyle \eta$ is the viscosity
• $\displaystyle \Delta P$ is the pressure gradient
• $\displaystyle L$ is the length of the tube