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TRANSPORT PHYSICS / DIMENSIONLESS RATIO

Ekman Number Rotating Viscosity Calculator

Compare viscous diffusion with Coriolis scale using kinematic viscosity, angular speed, and length squared.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

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METHOD / WORKED EXAMPLE

Interpret Ekman Number Rotating Viscosity with its scale choices visible

Compare viscous diffusion with Coriolis scale using kinematic viscosity, angular speed, and length squared. The ratio becomes dimensionless only when every property uses coherent units and one physical state.

WORKED DEFAULT

Check the calculation with the default inputs

For 1e-6 m^2/s, 1 rad/s, and 0.01 m, the displayed convention gives Ek = 0.005.

  1. Prepare coherent termsSquare length
  2. Apply the ratioForm rotational denominator
  3. Review physical meaningDivide viscosity

READ THE RESULT

Interpret the output in context

The ratio compares viscosity with rotational influence; it does not calculate boundary-layer thickness or prove steady balance.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Viscosity and rotation describe one fluid state and frame.
  • The displayed definition uses two times angular speed.

Geometry, latitude convention, stratification, turbulence, boundaries, transients, and Ekman-layer assumptions require separate review.

COMMON QUESTIONS

Ekman Number Rotating Viscosity Calculator FAQs

Which inputs must match for Ekman Number Rotating Viscosity Calculator?

Use one coherent SI unit system, physical state, geometry, and documented characteristic scale across every input. Viscosity and rotation describe one fluid state and frame. The displayed definition uses two times angular speed. Confirm whether each property belongs to the fluid, solid, interface, particle, or transported quantity named by the formula. Mixed conventions can produce a plausible number whose physical meaning is wrong.

What does Ekman Number Rotating Viscosity reveal and conceal?

The ratio compares viscosity with rotational influence; it does not calculate boundary-layer thickness or prove steady balance. A dimensionless group compares selected mechanisms under a stated model; it does not prove a regime, transition, instability, similarity, or safe design. Geometry, boundary conditions, property variation, measurement uncertainty, and the validity range of downstream correlations still require separate review.

Can Ekman Number Rotating Viscosity Calculator replace engineering analysis?

No. This educational calculator performs displayed arithmetic on supplied SI values; it is not simulation, experimental validation, a correlation selector, material data, or engineering approval. Geometry, latitude convention, stratification, turbulence, boundaries, transients, and Ekman-layer assumptions require separate review. Retain source values, units, property temperatures, geometry definitions, and uncertainty, then obtain qualified review before using the result for design or safety decisions.

RELATED TOOLS

Continue the calculation

Use boundary

Calculation path

Square characteristic length, multiply by twice angular speed, then divide kinematic viscosity by that scale.

Calculation path

Ek = nu / (2 Omega L^2).