Galileo Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

Galileo number, abbreviated as Ga, a dimensionless number, also called Galilei 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

\(\large{ Ga = \frac{ g \;  l^3 \;  \mu^2 } { \rho^2 } }\) 
Symbol English Metric
\(\large{ Ga }\) = Galileo number \(\large{dimensionless}\)
\(\large{ l_c }\) = characteristic length \(\large{ft}\) \(\large{m}\)
\(\large{ \rho }\)  (Greek symbol rho) = density \(\large{ \frac{lbm}{ft^3}}\) \(\large{ \frac{kg}{m^3}}\)
\(\large{ g }\) = gravitational acceleration \(\large{ \frac{ft}{sec^2}}\) \(\large{ \frac{m}{s^2}}\)
\(\large{ \mu }\)  (Greek symbol mu) = viscosity \(\large{\frac{lbf - sec}{ft^2}}\) \(\large{ Pa - s }\)

 

Galileo number calculator

 

 

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Tags: Force Equations Viscosity Equations Calculators