(Answered)-Ekman (Ek) and Rossby (Ro) numbers are of importance in rotating - (2025 Updated Original AI-Free Solution

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Ekman (Ek) and Rossby (Ro) numbers are of importance in rotating flows.^{^[1]}Ekman number is a measure of the ratio between frictional (viscous) and Coriolis (fictional) forces on a fluid element; Rossby number correspondingly between inertial and Coriolis forces. Define these two numbers if ? is a characteristic angular rate of rotation (characteristic velocity U; length L).

Coriolis acceleration: 2? ?V .

[1] Ekman and Rossby were Swedes; Vagn Walfrid Ekman (1874?1954) professor at Lund University 1910?1939.