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CFD Boundary Layer First Cell Height & Y-Plus (y+) Calculator

Easily calculate and compute cfd boundary layer first cell height & y-plus (y+) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
11.2 um

First Cell Height Delta y (y_1)

First Cell Height Delta y (y_1)

11.2 um

First Cell Height Microns

11.203071935092748

First Cell Height Mm

0.011203071935092748

Friction Velocity Mps

1.318880240141858

Wall Shear Stress Pa

2.13082023259989

11.2 — um

Calculation Breakdown

  1. Applied FormulaCalculates the required near-wall first mesh cell height (Delta y_1 in micrometers or mm) for desired target dimensionless wall distance (y+) in boundary layer CFD simulations (RANS, LES, DES).y_1 = \frac{y^+ \mu}{\rho u_\tau}, \quad u_\tau = \sqrt{\frac{\tau_w}{\rho}}, \quad C_f = 0.058 Re_x^{-0.2}, \quad \tau_w = \frac{1}{2} C_f \rho U_\infty^2

CFD Y-Plus (y+) Wall Distance Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.85.68.411First Cell Height Delta y (y_1)

What Is the CFD Boundary Layer First Cell Height & Y-Plus (y+) Calculator?

The CFD Boundary Layer First Cell Height & Y-Plus (y+) Calculator computes results using established domain formulas, verified conversion factors, and user-entered parameters.

How Does the CFD Boundary Layer First Cell Height & Y-Plus (y+) Calculator Work?

Calculates the required near-wall first mesh cell height (Delta y_1 in micrometers or mm) for desired target dimensionless wall distance (y+) in boundary layer CFD simulations (RANS, LES, DES).

CFD Boundary Layer First Cell Height & Y-Plus (y+) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

y1=y+μρuτ,uτ=τwρ,Cf=0.058Rex−0.2,τw=12CfρU∞2y_1 = \frac{y^+ \mu}{\rho u_\tau}, \quad u_\tau = \sqrt{\frac{\tau_w}{\rho}}, \quad C_f = 0.058 Re_x^{-0.2}, \quad \tau_w = \frac{1}{2} C_f \rho U_\infty^2

Calculates the required near-wall first mesh cell height (Delta y_1 in micrometers or mm) for desired target dimensionless wall distance (y+) in boundary layer CFD simulations (RANS, LES, DES).

How to Use the CFD Boundary Layer First Cell Height & Y-Plus (y+) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

CFD Boundary Layer First Cell Height & Y-Plus (y+) Calculator Example

Input Values:

freeStreamVelocityMps:35
fluidDensityKgM3:1.225
dynamicViscosityPaS:0.0000181
characteristicLengthM:1.5
targetYPlus:1
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required um.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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