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:

where f is the Coriolis parameter, L a characteristic length, and UT a characteristic thermal wind. The characteristic thermal wind is
where g is the acceleration of gravity, ε the coefficient of thermal expansion, Δrθ/Δr a characteristic radial temperature gradient, and δ depth of the fluid.
Compare Rossby number;
see thermal instability.

Copyright 2022 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.