Total-head balance between two points in an incompressible flow - the classical Bernoulli equation for pump/pipe calculations.
Formula
$$ \frac{p_1}{\rho g} + \frac{v_1^2}{2g} + z_1 = \frac{p_2}{\rho g} + \frac{v_2^2}{2g} + z_2 + h_f $$
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| $p, v, z$ | Pressure, velocity, elevation | Pa, m/s, m | system points |
| $h_f$ | Friction loss between 1 → 2 | m | Darcy-Weisbach |
Sources
- Perry’s Handbook Ch. 6.