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CFD y⁺ Wall-Distance Calculator — result sheet
Calculate dimensionless wall distance y⁺ from first-cell distance, friction velocity, and kinematic viscosity.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: y⁺ = yuτ/ν; viscous length scale = ν/uτ.
y⁺ is a dimensionless wall coordinate used to relate a near-wall mesh distance to viscous scales. This calculator makes the wall distance, friction velocity, and kinematic viscosity explicit and offers an indicative region label without choosing a turbulence model for the visitor.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Wall-normal distance to first cell center — m; minimum 1.0E-12; maximum 1000000
- Friction velocity uτ — m/s; minimum 1.0E-12; maximum 1000000
- Kinematic viscosity ν — m²/s; minimum 1.0E-12; maximum 1000000
Worked example
| Input | Value |
|---|---|
| Wall-normal distance to first cell center | 0.001 |
| Friction velocity uτ | 0.05 |
| Kinematic viscosity ν | 1.5E-5 |
The dimensionless wall distance is y⁺ = 3.3333 and the viscous length scale is 0.3 mm.
Assumptions and limits
- Wall distance, friction velocity, and kinematic viscosity use consistent SI units and represent the same wall location.
- Friction velocity is supplied rather than inferred from a wall shear-stress or turbulence correlation.
- The regional labels are approximate guidance only; solver, geometry, Reynolds number, roughness, and wall-treatment requirements must be checked separately.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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