# Galileo Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Galileo number, abbreviated as Ga, a dimensionless number, is used in fluid dynamics to describe fluid film flow over walls.  It is a ratio of forces present in the flow of viscous fluids.  The Galileo Number is used in the momentum of heat transfer, viscous flow, thermal expansion.

## Galileo number formula

 $$\large{ Ga = \frac{ g \; l^3 \; \mu^2 } { \rho^2 } }$$

### Where:

$$\large{ Ga }$$ = Galileo number

$$\large{ l_c }$$ = characteristic length

$$\large{ \rho }$$  (Greek symbol rho) = density

$$\large{ g }$$ = gravitational acceleration

$$\large{ \mu }$$  (Greek symbol mu) = viscosity