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Indian Institute of Technology Kharagpur (IIT KGP), Kharagpur
Vishal Anand has created this Calculator and 10+ more calculators!
Sardar Patel College of Engineering (SPCE), Mumbai
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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*D*U*/ν
This formula uses 4 Variables
Variables Used
First layer height - The First Layer Height determines the thickness of the first layer of boundary layer. (Measured in Meter)
Density of air - Density of air taken at standard conditions. (Measured in Kilogram per Meter³)
Friction Velocity for airfoil - The friction velocity for airfoil, and it characterizes the shear at the boundary. (Measured in Meter per Second)
Kinematic viscosity - The kinematic viscosity is an atmospheric variable defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid. (Measured in Stokes)
STEP 1: Convert Input(s) to Base Unit
First layer height: 0.01 Meter --> 0.01 Meter No Conversion Required
Density of air: 2 Kilogram per Meter³ --> 2 Kilogram per Meter³ No Conversion Required
Friction Velocity for airfoil: 1 Meter per Second --> 1 Meter per Second No Conversion Required
Kinematic viscosity: 7.25 Stokes --> 0.000725 Meter² per Second (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Y+ = y*D*U*/ν --> 0.01*2*1/0.000725
Evaluating ... ...
Y+ = 27.5862068965517
STEP 3: Convert Result to Output's Unit
27.5862068965517 --> No Conversion Required
FINAL ANSWER
27.5862068965517 <-- Y Plus
(Calculation completed in 00.015 seconds)
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7 CFD Calculators

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
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
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 = 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*D*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 (D), 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 -> 27.58621 = 0.01*2*1/0.000725.

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*D*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, and it 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 (D), 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.
How many ways are there to calculate Y Plus?
In this formula, Y Plus uses First layer height, Density of air, Friction Velocity for airfoil & Kinematic viscosity. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • reynolds_number = (Density of fluid*Flow Velocity*Chord Length of Airfoil)/Dynamic viscosity
  • skin_friction_coefficient = (2*log10(Reynolds Number)-0.65)^(-2.30)
  • wall_shear_stress = 0.5*Skin friction coefficient*Flow Velocity*Density of air
  • Friction_Velocity_for_airfoil = (Wall Shear Stress for airfoil/Density of air)^0.5
  • Y_plus = First layer height*Density of air*Friction Velocity for airfoil/Kinematic viscosity
  • Lift_on_airfoil = Normal Force on airfoil*cos(Angle of Attack of airfoil)-Axial Force on airfoil*sin(Angle of Attack of airfoil)
  • Drag_on_airfoil = Normal Force on airfoil*sin(Angle of Attack of airfoil)+Axial Force on airfoil*cos(Angle of Attack of airfoil)
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