I Who first developed the Rossby number and how was it derived?

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The Rossby number, named after Carl-Gustaf Arvid Rossby, is a dimensionless quantity used in fluid mechanics, particularly in atmospheric and oceanographic sciences. It was derived to describe the influence of Earth's rotation on fluid motion. Rossby and his collaborators at MIT developed the concept through observations of wave patterns in the atmosphere and ocean. Their work included figures and early papers that illustrated the relationship between inertial and Coriolis forces in fluid dynamics. Understanding the Rossby number is crucial for analyzing large-scale motions in geophysical fluids.
meteo student
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Hoping to get an intuitive idea of the derivation behind the Rossby number that isused in fluid mechanics(atmospheric and oceanographic sciences). I know what it is and how it is used but I want to know Rossby hit upon the idea of the number that is named after him.

https://en.wikipedia.org/wiki/Rossby_number
 
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http://birner.atmos.colostate.edu/courses/rossby.pdf
Carl-Gustaf Arvid Rossby
The pdf has a couple figures showing how he first saw his waves and a portion of an early paper where he and MIT collaborators set down the concept.
 
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