# Thermal rossby number

From Glossary of Meteorology

## thermal Rossby number

The nondimensional ratio of the inertial force due to the thermal wind and the Coriolis force in the flow of a fluid heated from below:

*f*is the Coriolis parameter,

*L*a characteristic length, and

*U*

_{T}a characteristic thermal wind. The characteristic thermal wind is

*g*is the acceleration of gravity, ε the coefficient of thermal expansion, Δ

_{r}θ/Δ

*r*a characteristic radial temperature gradient, and δ depth of the fluid.

*Compare*Rossby number;

*see*thermal instability.