ShipCalculators.com

Bernoulli - Head Balance

Contents

Live calculator

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

SymbolMeaningUnitSource
$p, v, z$Pressure, velocity, elevationPa, m/s, msystem points
$h_f$Friction loss between 1 → 2mDarcy-Weisbach

Sources

  • Perry’s Handbook Ch. 6.