# Grashof number

The Grashof number is a dimensionless parameter which, unlike the Rayleigh number, contains information of a mechanical nature only. It contrasts the exclusive effects of viscosity with the floating force:

$Gr=\dfrac{F_g}{(F_v)^2}$

once the motion is triggered (Ra > 1708) to understand if the motion is laminar or turbulent (in natural convection) the Grashof number is evaluated; if (Gr > $$10^9$$) the motion is laminar, if instead (Gr < $$10^9$$) the motion is turbulent.

In natural convection:

$Gr=\dfrac{\rho^2g\beta\Delta TL^3}{\mu^2}$