Bernoulli's Principle

For things that are steady, with constant density… we can use Bernoulli’s equation which is…
$\frac{v_1^2}{2}+\frac{p_1}{\rho }+g{z}_1=\frac{v_2^2}{2}+\frac{p_2}{\rho }+g{z}_2$ Where each side of the Bernoulli’s equation is a constant

Main Assumptions

1. Steady flow
2. Incompressible flow - acceptable if the flow mach number is < 0.3
3. Frictionless flow - solid walls introduce friction effects
4. Flow with a single streamline - different streamlines may have different Bernoulli constants based on flow conditions
5. No shaft work between points
6. No heat transfer between points