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TRANSPORT PHYSICS / DIMENSIONLESS RATIO

Dean Number Curved Flow Calculator

Combine a supplied Reynolds number with hydraulic diameter and bend curvature to describe an idealized curved-flow scale.

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

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METHOD / WORKED EXAMPLE

Interpret Dean Number Curved Flow with its scale choices visible

Combine a supplied Reynolds number with hydraulic diameter and bend curvature to describe an idealized curved-flow scale. 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 Re = 1000, 0.02 m hydraulic diameter, and 0.2 m curvature radius, the geometry factor is about 0.2236 and De is about 223.607.

  1. Prepare coherent termsForm diameter-to-curvature ratio
  2. Apply the ratioTake its square root
  3. Review physical meaningMultiply by Reynolds number

READ THE RESULT

Interpret the output in context

The result combines inertia with curvature scale; it does not prove secondary-flow onset or pressure loss.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Reynolds number and diameter use the same flow convention.
  • Curvature radius is measured to the passage centerline.

Cross-section shape, bend angle, roughness, developing flow, transition criteria, and empirical pressure loss require separate review.

COMMON QUESTIONS

Dean Number Curved Flow Calculator FAQs

Which inputs must match for Dean Number Curved Flow Calculator?

Use one coherent SI unit system, physical state, geometry, and documented characteristic scale across every input. Reynolds number and diameter use the same flow convention. Curvature radius is measured to the passage centerline. 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 Dean Number Curved Flow reveal and conceal?

The result combines inertia with curvature scale; it does not prove secondary-flow onset or pressure loss. 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 Dean Number Curved Flow 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. Cross-section shape, bend angle, roughness, developing flow, transition criteria, and empirical pressure loss 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

Divide hydraulic diameter by twice the centerline curvature radius, take the square root, then multiply by Reynolds number.

Calculation path

De = Re sqrt(Dh / (2 Rc)).