## Y Plus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Y Plus = (First Layer Height*Friction Velocity For Airfoil)/Kinematic Viscosity
Y+ = (y*Uf)/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*Uf)/ν --> (0.01*3.4)/0.00060714285
Evaluating ... ...
Y+ = 56.0000006588235
STEP 3: Convert Result to Output's Unit
56.0000006588235 --> No Conversion Required
56.0000006588235 56 <-- 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
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
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
Reynolds Number = (Density of Fluid*Flow Velocity*Chord Length of Airfoil)/Dynamic Viscosity
Wall Shear Stress for Airfoil
Wall Shear Stress For Airfoil = 0.5*Skin Friction Coefficient*Flow Velocity^2*Density of Air
Y Plus
Y Plus = (First Layer Height*Friction Velocity For Airfoil)/Kinematic Viscosity
Friction Velocity for Airfoil
Friction Velocity For Airfoil = (Wall Shear Stress For Airfoil/Density of Air)^0.5
Skin Friction Coefficient
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*Uf)/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 (Uf) & 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*Uf)/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 (Uf) & 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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