# Galileo Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

## Galileo Number

Galileo number ( $$Ga$$ ) (dimensionless number) (also known as Galilei number) is a ratio of forces present in the flow of viscous fluids.  It is used in the momentum of heat transfer, viscous flow, thermal expansion.

### Galilei Number FORMULA

$$Ga = \frac{ g \; \dot \;\; l^3 \; \dot \;\; \mu^2 } { \rho^2 }$$          $$Galileo \; number \;=\; \frac{ gravitational \; acceleration \;\;x\;\; characteristic \; length^3 \;\;x\;\; viscosity^2 } { density^2 }$$

Where:

$$Ga$$ = Galileo number

$$g$$ = gravitational acceleration

$$l$$ = characteristic length

$$\mu$$ (Greek symbol mu) = viscosity

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