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_f]			+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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Y Plus Solution

STEP 0: Pre-Calculation Summary

Formula Used

Y Plus = (First Layer Height*Friction Velocity For Airfoil)/Kinematic Viscosity
Y⁺ = (y*U_f)/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: 6.0714285 Stokes --> 0.00060714285 Square Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Y⁺ = (y*U_f)/ν --> (0.01*3.4)/0.00060714285

Evaluating ... ...

Y⁺ = 56.0000006588235

STEP 3: Convert Result to Output's Unit

56.0000006588235 --> No Conversion Required

FINAL ANSWER

56.0000006588235 ≈ 56 <-- Y Plus

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Fluid Mechanics » Computational Fluid Dyanmics » Y Plus

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!

< Computational Fluid Dyanmics Calculators

Drag on Airfoil

LaTeX 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

LaTeX 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

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

Friction Velocity for Airfoil

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

Y Plus Formula

LaTeX Go

Y Plus = (First Layer Height*Friction Velocity For Airfoil)/Kinematic Viscosity
Y⁺ = (y*U_f)/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_f) & Kinematic Viscosity (ν) and hit the calculate button. Here is how the Y Plus calculation can be explained with given input values -> 56 = (0.01*3.4)/0.00060714285.

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_f)/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_f) & 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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