Bernoulli's equation is only valid if the following assumptions are true:
- system is at [[steady state]]
- fluid is [[incompressible]]
- fluid is Newtonian
$\frac{v^2}{2}+gz+\frac{p}{\rho}$ = constant at all points in a fluid
where:
$v$ = speed of fluid flow
$g$ = acceleration of gravity
$z$ = elevation in the direction opposite to gravity
$p$ = fluid pressure
$\rho$ = density (constant at all points, bc fluid is incompressible)
![[Untitled 23.jpg]]
![[VenturiFlow.jpg]]
Bernoulli's equation can be derived from the [[Conservation of Energy]] or from [[Newton's Second Law]]
$\rho gz$ is the [[fluid static pressure]]