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Ekman Number Equation and Calculator

Fluids Flow Design and Engineering
Hydraulic & Pneumatic Design Engineering
Pressure Vessel Engineering

Ekman Number Equation and Calculator

The Ekman number (Ek) is a dimensionless number used in fluid dynamics to describe the ratio of viscous forces to Coriolis forces. It is frequently used in describing geophysical phenomena in the oceans and atmosphere in order to characterise the ratio of viscous forces to the Coriolis forces arising from planetary rotation. It is named after the Swedish oceanographer Vagn Walfrid Ekman.

When the Ekman number is small, disturbances are able to propagate before decaying owing to low frictional effects. The Ekman number also describes the order of magnitude for the thickness of an Ekman layer, a boundary layer in which viscous diffusion is balanced by Coriolis effects, rather than the usual convective inertia.

Eq. 1
Ek = v / [ 2 · D² · ω sin( δ ) ]

Where:

D = Characteristic Length Scale (m)
v = Kinematic Eddy Viscosity (m²/s)
ω = Angular Velocity of Plenatory Motion (1/s)
δ = Latitude (radians)
Ek = Ekman Number (dimensionless)

Source:

1. Wikipedia

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