# Lift Coefficient

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

## Lift Coefficient

Lift coefficient ( $$C_l$$ ) (dimensionless number) is the lift generated by a lifting body to the fluid density around the body.

### Lift Coefficient formula

$$C_l = \frac {L} { \frac {1}{2} \rho v^2 A} = \frac {2L} { \rho v^2 A} = \frac {L} { Q A}$$          $$lift \; coefficient \;=\; \frac { lift \; force} { dynamic \; pressure \;\;x\;\; area}$$

$$C_l = \frac { 2 L } { \rho v^2 A }$$          $$lift \; coefficient \;=\; \frac { 2 \;\;x\;\; lift \; force } { fluid \; density \;\;x\;\; velocity^2 \;\;x\;\; area }$$

Where:

$$C_l$$ = lift coefficient

$$L$$ = lift force

$$v$$ = velocity

$$\rho$$ = fluid density

$$A$$ = area

$$Q$$ = dynamic pressure