Y plus Solution

STEP 0: Pre-Calculation Summary
Formula Used
Y Plus = First layer height*Density of air*Friction Velocity for Airfoil/Kinematic viscosity
Y+ = y*ρ*U*/ν
This formula uses 5 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.
Density of air - (Measured in Kilogram per Cubic Meter) - Density of air taken at standard conditions.
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) - The kinematic viscosity is an atmospheric variable 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
Density of air: 1.2 Kilogram per Cubic Meter --> 1.2 Kilogram per Cubic 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*ρ*U*/ν --> 0.01*1.2*3.4/0.000725
Evaluating ... ...
Y+ = 56.2758620689655
STEP 3: Convert Result to Output's Unit
56.2758620689655 --> No Conversion Required
FINAL ANSWER
56.2758620689655 <-- Y Plus
(Calculation completed in 00.029 seconds)

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 CFD- 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) Go
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) Go
Reynolds Number for airfoil
Reynolds Number = (Density of Fluid*Flow Velocity*Chord Length of Airfoil)/Dynamic Viscosity Go
Y plus
Y Plus = First layer height*Density of air*Friction Velocity for Airfoil/Kinematic viscosity Go
Wall Shear Stress for airfoil
Wall Shear Stress for Airfoil = 0.5*Skin friction coefficient*Flow Velocity*Density of air Go
Friction Velocity for airfoil
Friction Velocity for Airfoil = (Wall Shear Stress for Airfoil/Density of air)^0.5 Go
Skin friction coefficient
Skin friction coefficient = (2*log10(Reynolds Number)-0.65)^(-2.30) Go

Y plus Formula

Y Plus = First layer height*Density of air*Friction Velocity for Airfoil/Kinematic viscosity
Y+ = y*ρ*U*/ν

How to Calculate Y plus?

Y plus calculator uses Y Plus = First layer height*Density of air*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), Density of air (ρ), 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 -> 56.27586 = 0.01*1.2*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*ρ*U*/ν or Y Plus = First layer height*Density of air*Friction Velocity for Airfoil/Kinematic viscosity. The First Layer Height determines the thickness of the first layer of boundary layer, Density of air taken at standard conditions, The Friction Velocity for Airfoil characterizes the shear at the boundary & The kinematic viscosity is an atmospheric variable 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*Density of air*Friction Velocity for Airfoil/Kinematic viscosity. To calculate Y plus, you need First layer height (y), Density of air (ρ), Friction Velocity for Airfoil (U*) & Kinematic viscosity (ν). With our tool, you need to enter the respective value for First layer height, Density of air, 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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