A principle for [[Fluid]] Dynamics that relates pressure, speed, and height. >[!info] Incompressible Fluid >$\huge >\frac{v^2}{2} + gz + \frac{P}{\rho} = \text{const.} >$ > >$\huge \frac{1}{2} \rho {{\Delta v}^2}{} + g \rho \Delta z + {\Delta P}{} = 0 $ > >Where: >- $v$ = [[Fluid]] flow at that [[../Math/Point|Point]]. >- $g$ = [[Acceleration]] due to [[Gravity]] >- $z$ is the elevation of the point above a reference plane ($+z$ is in the opposite direction of $g$) >- $P$ is the [[Static Pressure]] at the point >- $\rho$ is the density of the fluid at all points in the flui.