Galilei number

In fluid dynamics, the Galilei number (Ga), sometimes also referred to as Galileo number (see discussion), is a dimensionless number named after Italian scientist Galileo Galilei (1564-1642).

It may be regarded as proportional to gravity forces divided by viscous forces. The Galilei number is used in viscous flow and thermal expansion calculations, for example to describe fluid film flow over walls. These flows apply to condensers or chemical columns.

$\mathrm {Ga} =\mathrm {Re} ^{2}\,\mathrm {Ri} ={\frac {g\,L^{3}}{\nu ^{2}}}$

• g: gravitational acceleration, (SI units: m/s²)
• L: characteristic length, (SI units: m)
• ν: characteristic kinematic viscosity, (SI units: m²/s)
• Re: the Reynolds number
• Ri: the Richardson number

See also

• Archimedes number

References

• VDI-Wärmeatlas; 5., extended Edition; VDI Verlag Düsseldorf; 1988; page Bc 1 (German)
• W. Wagner; Wärmeübertragung; 5., revised Edition; Vogel Fachbuch; 1998; page 119 (German)

External links

• Website referring to the Galileo number with calculator
• Table of dimensionless numbers (German)
• Table of dimensionless numbers (German)