# Lift Coefficient

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

In aerodynamics, the lift coefficient, abbreviated as $$C_l$$, a dimensionless number, represents the lift generated by a lifting body to the fluid density around the body, the density of the fluid around the body, velocity of the fulid and an associated reference area.  The lifting body can be a foil or a complete foil-bearing body such as a fixed-wing aircraft.

## Lift Coefficient formula

 $$\large{ C_l = \frac { 2 \; L } { \rho \; v^2 \; A } }$$ (lift force)

### Where:

 Units English Metric $$\large{ C_l }$$ = lift coefficient $$\large{ dimensionless }$$ $$\large{ A }$$ = area of surface $$\large{ ft^2 }$$ $$\large{ m^2 }$$ $$\large{ \rho }$$  (Greek symbol rho) = density of fluid $$\large{\frac{lbm}{ft^3}}$$ $$\large{\frac{kg}{m^3}}$$ $$\large{ L }$$ = lift force $$\large{ lbf }$$ $$\large{N}$$ $$\large{ v }$$ = velocity $$\large{\frac{ft}{sec}}$$ $$\large{\frac{m}{sec}}$$