Y Plus Calculator

✖The First Layer Height determines the thickness of the first layer of boundary layer.ⓘ First layer height [y]			+10% -10%
✖The Friction Velocity for Airfoil characterizes the shear at the boundary.ⓘ Friction Velocity for Airfoil [U_*]			+10% -10%
✖Kinematic viscosity is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.ⓘ Kinematic Viscosity [ν]			+10% -10%

✖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.ⓘ Y Plus [Y⁺]

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Formula

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Y Plus

Formula

`"Y"^{"+"} = ("y"*"U"_{"*"})/"ν"`

Example

`"46.89655"=("0.01m"*"3.40m/s")/"7.25St"`

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Y Plus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Y Plus = (First layer height*Friction Velocity for Airfoil)/Kinematic Viscosity
Y⁺ = (y*U_*)/ν
This formula uses 4 Variables

Variables Used

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.
First layer height - (Measured in Meter) - The First Layer Height determines the thickness of the first layer of boundary layer.
Friction Velocity for Airfoil - (Measured in Meter per Second) - The Friction Velocity for Airfoil characterizes the shear at the boundary.
Kinematic Viscosity - (Measured in Square Meter per Second) - Kinematic viscosity is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

STEP 1: Convert Input(s) to Base Unit

First layer height: 0.01 Meter --> 0.01 Meter No Conversion Required
Friction Velocity for Airfoil: 3.4 Meter per Second --> 3.4 Meter per Second No Conversion Required
Kinematic Viscosity: 7.25 Stokes --> 0.000725 Square Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y⁺ = (y*U_*)/ν --> (0.01*3.4)/0.000725

Evaluating ... ...

Y⁺ = 46.8965517241379

STEP 3: Convert Result to Output's Unit

46.8965517241379 --> No Conversion Required

FINAL ANSWER

46.8965517241379 ≈ 46.89655 <-- Y Plus

(Calculation completed in 00.004 seconds)

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Credits

Created by Vishal Anand

Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur

Vishal Anand has created this Calculator and 7 more calculators!

Verified by Ojas Kulkarni

Sardar Patel College of Engineering (SPCE), Mumbai

Ojas Kulkarni has verified this Calculator and 8 more calculators!

< 7 Computational Fluid Dyanmics Calculators

Drag on Airfoil

Go Drag on Airfoil = Normal Force on Airfoil*sin(Angle of Attack of Airfoil)+Axial Force on airfoil*cos(Angle of Attack of Airfoil)

Lift on Airfoil

Go Lift on Airfoil = Normal Force on Airfoil*cos(Angle of Attack of Airfoil)-Axial Force on airfoil*sin(Angle of Attack of Airfoil)

Reynolds Number for Airfoil

Go Reynolds Number = (Density of Fluid*Flow Velocity*Chord Length of Airfoil)/Dynamic Viscosity

Wall Shear Stress for Airfoil

Go Wall Shear Stress for Airfoil = 0.5*Skin friction coefficient*Flow Velocity^2*Density of Air

Y Plus

Go Y Plus = (First layer height*Friction Velocity for Airfoil)/Kinematic Viscosity

Friction Velocity for Airfoil

Go Friction Velocity for Airfoil = (Wall Shear Stress for Airfoil/Density of Air)^0.5

Skin Friction Coefficient

Go Skin friction coefficient = (2*log10(Reynolds Number)-0.65)^(-2.30)

Y Plus Formula

Y Plus = (First layer height*Friction Velocity for Airfoil)/Kinematic Viscosity
Y⁺ = (y*U_*)/ν

What are the effects of different Y+ values?

If Y+ <1, the first grid cell is located within the laminar sublayer.
If Y+ > 30, the first grid cell is located within the viscous sublayer.
If 1< Y+< 30, the first grid cell is located within the viscous sublayer but not too close to the surface wall.

How to Calculate Y Plus?

Y Plus calculator uses Y Plus = (First layer height*Friction Velocity for Airfoil)/Kinematic Viscosity to calculate 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 calculate Y Plus using this online calculator? To use this online calculator for Y Plus, enter First layer height (y), Friction Velocity for Airfoil (U_*) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Y Plus calculation can be explained with given input values -> 46.89655 = (0.01*3.4)/0.000725.

FAQ

What is 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 and is represented as Y⁺ = (y*U_*)/ν or Y Plus = (First layer height*Friction Velocity for Airfoil)/Kinematic Viscosity. The First Layer Height determines the thickness of the first layer of boundary layer, The Friction Velocity for Airfoil characterizes the shear at the boundary & Kinematic viscosity is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

How to calculate 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 is calculated using Y Plus = (First layer height*Friction Velocity for Airfoil)/Kinematic Viscosity. To calculate Y Plus, you need First layer height (y), Friction Velocity for Airfoil (U_*) & Kinematic Viscosity (ν). With our tool, you need to enter the respective value for First layer height, Friction Velocity for Airfoil & Kinematic Viscosity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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