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Y Plus Formula

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Y Plus is a non-dimensional distance. It is often used to describe how coarse or fine a mesh is for a particular flow pattern. Check FAQs

Y + = \frac{y \cdot U f}{ν}

Y⁺ - Y Plus?y - First Layer Height?U_f - Friction Velocity For Airfoil?ν - Kinematic Viscosity?

Y Plus Example

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With units

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Here is how the Y Plus equation looks like with Values.

Here is how the Y Plus equation looks like with Units.

Here is how the Y Plus equation looks like.

56 = \frac{0.01 \cdot 3.4}{6.0714}

56 = \frac{0.01m \cdot 3.4m/s}{6.0714St}

56 = \frac{0.01 \cdot 3.4}{6.0714}

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Y Plus Solution

Follow our step by step solution on how to calculate Y Plus?

FIRST Step Consider the formula

Y + = \frac{y \cdot U f}{ν}

Next Step Substitute values of Variables

∴

Y + = \frac{0.01m \cdot 3.4m/s}{6.0714St}

Next Step Convert Units

∴

Y + = \frac{0.01m \cdot 3.4m/s}{0.0006m²/s}

Next Step Prepare to Evaluate

∴

Y + = \frac{0.01 \cdot 3.4}{0.0006}

Next Step Evaluate

∴

Y + = 56.0000006588235

LAST Step Rounding Answer

∴

Y + = 56

Y Plus Formula Elements

Variables

Y Plus

Y Plus is a non-dimensional distance. It is often used to describe how coarse or fine a mesh is for a particular flow pattern.

Symbol: Y⁺

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Y Plus

First Layer Height

The First Layer Height determines the thickness of the first layer of boundary layer.

Symbol: y

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find First Layer Height

Friction Velocity For Airfoil

The Friction Velocity For Airfoil characterizes the shear at the boundary.

Symbol: U_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Friction Velocity For Airfoil

Kinematic Viscosity

Kinematic Viscosity is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: ν

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity

Other formulas in Computational Fluid Dyanmics category

Go Drag on Airfoil

D = N \cdot \sin (α °) + A \cdot \cos (α °)

Go Friction Velocity for Airfoil

U f = {(\frac{T w}{ρ})}^{0.5}

Go Lift on Airfoil

L = N \cdot \cos (α °) - A \cdot \sin (α °)

Go Reynolds Number for Airfoil

Re = \frac{ρ f \cdot V flow \cdot c}{μ}

How to Evaluate Y Plus?

Y Plus evaluator uses Y Plus = (First Layer Height*Friction Velocity For Airfoil)/Kinematic Viscosity to evaluate the Y Plus, The Y plus defined as a non-dimensional distance. It is often used to describe how coarse or fine a mesh is for a particular flow pattern. Y Plus is denoted by Y⁺ symbol.

How to evaluate Y Plus using this online evaluator? To use this online evaluator for Y Plus, enter First Layer Height (y), Friction Velocity For Airfoil (U_f) & Kinematic Viscosity (ν) and hit the calculate button.

FAQs on Y Plus

What is the formula to find Y Plus?

The formula of Y Plus is expressed as Y Plus = (First Layer Height*Friction Velocity For Airfoil)/Kinematic Viscosity. Here is an example- 56 = (0.01*3.4)/0.00060714285.

How to calculate Y Plus?

With First Layer Height (y), Friction Velocity For Airfoil (U_f) & Kinematic Viscosity (ν) we can find Y Plus using the formula - Y Plus = (First Layer Height*Friction Velocity For Airfoil)/Kinematic Viscosity.

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