# Borda-Carnot Equation

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

## Borda-Carnot Equation

Borda-Carnot equation is a empirical description of the mechanical loss energy losses of the fluid due to a sudden flow expansion.  It describes how the total head reduces due to the losses.

### Borda-Carnot formula

$$\Delta E = \epsilon \frac { 1 } { 2 } \rho \left({v_1-v_2}\right)^2$$

Where:

$$\Delta E$$ = fluid mechanical energy loss

$$\epsilon$$ (Greek symbol epsilon) = empirical loss coefficient

$$\rho$$ (Greek symbol rho) = fluid density

$$v_1$$ = mean flow velocity before expansion

$$v_2$$ = mean flow velocity after expansion