Thickness of Boundary Layer Calculator

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✖Distance leading edge for boundary layer flow is known as the distance of the leading edge from the plate end.ⓘ Distance Leading Edge for Boundary Layer Flow [x]			+10% -10%
✖Reynolds Number for boundary layer flow is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.ⓘ Reynolds Number for Boundary Layer Flow [R_e]			+10% -10%

✖The Thickness of Boundary Layer is the distance normal to the wall to a point where the flow velocity has essentially reached the 'asymptotic' velocity.ⓘ Thickness of Boundary Layer [𝛿]

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Thickness of Boundary Layer

Formula

`"𝛿" = (5.48*"x")/(sqrt("R"_{"e"}))`

Example

`"0.015423m"=(5.48*"1.09m")/(sqrt("1.5E5"))`

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Thickness of Boundary Layer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Thickness of Boundary Layer = (5.48*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow))
𝛿 = (5.48*x)/(sqrt(R_e))
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Thickness of Boundary Layer - (Measured in Meter) - The Thickness of Boundary Layer is the distance normal to the wall to a point where the flow velocity has essentially reached the 'asymptotic' velocity.
Distance Leading Edge for Boundary Layer Flow - (Measured in Meter) - Distance leading edge for boundary layer flow is known as the distance of the leading edge from the plate end.
Reynolds Number for Boundary Layer Flow - Reynolds Number for boundary layer flow is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.

STEP 1: Convert Input(s) to Base Unit

Distance Leading Edge for Boundary Layer Flow: 1.09 Meter --> 1.09 Meter No Conversion Required
Reynolds Number for Boundary Layer Flow: 150000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝛿 = (5.48*x)/(sqrt(R_e)) --> (5.48*1.09)/(sqrt(150000))

Evaluating ... ...

𝛿 = 0.0154227360823774

STEP 3: Convert Result to Output's Unit

0.0154227360823774 Meter --> No Conversion Required

FINAL ANSWER

0.0154227360823774 ≈ 0.015423 Meter <-- Thickness of Boundary Layer

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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< 21 Boundary Layer Flow Calculators

Shear Stress at Boundary for Turbulent Boundary Layer over Flat Plate

Go Shear Stress for Boundary Layer Flow = 0.0225*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2*(Viscosity of Fluid for Boundary Layer Flow/(Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*Thickness of Boundary Layer))^(1/4)

Viscosity of Liquid for Drag Force on Plate

Go Viscosity of Fluid for Boundary Layer Flow = Drag Force on Boundary Layer Flow Plate/(0.73*Breadth of Plate for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow))

Width of Plate for Drag Force on Plate

Go Breadth of Plate for Boundary Layer Flow = Drag Force on Boundary Layer Flow Plate/(0.73*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow))

Drag Force on Plate

Go Drag Force on Boundary Layer Flow Plate = 0.73*Breadth of Plate for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*sqrt(Reynolds Number for Boundary Layer Flow)

Reynold Number for Drag Force on Plate

Go Reynolds Number for Boundary Layer Flow = (Drag Force on Boundary Layer Flow Plate/(0.73*Breadth of Plate for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow))^2

Area of Surface for Average Drag Coefficient

Go Area of Surface for Boundary Layer Flow = Drag Force on Boundary Layer Flow Plate/(1/2*Coefficient of Drag for Boundary Layer Flow*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2)

Average Coefficient of Drag for Drag Force

Go Coefficient of Drag for Boundary Layer Flow = Drag Force on Boundary Layer Flow Plate/(1/2*Fluid Density for Boundary Layer Flow*Area of Surface for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2)

Drag Force for Average Drag Coefficient

Go Drag Force on Boundary Layer Flow Plate = 1/2*Coefficient of Drag for Boundary Layer Flow*Fluid Density for Boundary Layer Flow*Area of Surface for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2

Velocity of Fluid for Reynold Number

Go Freestream Velocity for Boundary Layer Flow = (Reynolds Number for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow)/(Fluid Density for Boundary Layer Flow*Length of Plate for Boundary Layer Flow)

Length of Plate for Reynold Number

Go Length of Plate for Boundary Layer Flow = (Reynolds Number for Boundary Layer Flow*Viscosity of Fluid for Boundary Layer Flow)/(Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow)

Reynold Number at End of Plate

Go Reynolds Number for Boundary Layer Flow = (Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow*Length of Plate for Boundary Layer Flow)/Viscosity of Fluid for Boundary Layer Flow

Freestream Velocity for Local Drag Coefficient

Go Freestream Velocity for Boundary Layer Flow = sqrt(Shear Stress for Boundary Layer Flow/(1/2*Fluid Density for Boundary Layer Flow*Local Drag Coefficient for Boundary Layer))

Local Drag Coefficient for Shear Stress

Go Local Drag Coefficient for Boundary Layer = Shear Stress for Boundary Layer Flow/(1/2*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2)

Shear Stress for Local Drag Coefficient

Go Shear Stress for Boundary Layer Flow = 1/2*Local Drag Coefficient for Boundary Layer*Fluid Density for Boundary Layer Flow*Freestream Velocity for Boundary Layer Flow^2

Thickness of Boundary Layer for Blasius's Solution

Go Thickness of Boundary Layer = (4.91*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow))

Thickness of Boundary Layer

Go Thickness of Boundary Layer = (5.48*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow))

Distance from Leading Edge

Go Distance Leading Edge for Boundary Layer Flow = Thickness of Boundary Layer*(sqrt(Reynolds Number for Boundary Layer Flow))/5.48

Distance from Leading Edge for Blasius's Solution

Go Distance Leading Edge for Boundary Layer Flow = Thickness of Boundary Layer*sqrt(Reynolds Number for Boundary Layer Flow)/4.91

Coefficient of Drag for Blasius's Solution

Go Coefficient of Drag for Boundary Layer Flow = 1.328/(sqrt(Reynolds Number for Boundary Layer Flow))

Coefficient of Drag for Reynold Number

Go Coefficient of Drag for Boundary Layer Flow = 1.46/sqrt(Reynolds Number for Boundary Layer Flow)

Reynold Number for Drag Coefficient in Blasius's Solution

Go Reynolds Number for Boundary Layer Flow = (1.328/Coefficient of Drag for Boundary Layer Flow)^2

Thickness of Boundary Layer Formula

Thickness of Boundary Layer = (5.48*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow))
𝛿 = (5.48*x)/(sqrt(R_e))

What is Reynolds number in boundary layer flow?

The Reynolds number is the ratio of inertial forces to viscous forces within a fluid that is subjected to relative internal movement due to different fluid velocities. A region where these forces change behavior is known as a boundary layer, such as the bounding surface in the interior of a pipe.

What are the two types of flow associated with the boundary layer?

There are two different types of boundary layer flow: laminar and turbulent. The laminar boundary is a very smooth flow, while the turbulent boundary layer contains swirls or "eddies." The laminar flow creates less skin friction drag than the turbulent flow but is less stable.

How to Calculate Thickness of Boundary Layer?

Thickness of Boundary Layer calculator uses Thickness of Boundary Layer = (5.48*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow)) to calculate the Thickness of Boundary Layer, The Thickness of boundary layer formula is known while considering the ratio of the distance from the leading edge with a constant value to the Reynolds number at the end of the plate. Thickness of Boundary Layer is denoted by 𝛿 symbol.

How to calculate Thickness of Boundary Layer using this online calculator? To use this online calculator for Thickness of Boundary Layer, enter Distance Leading Edge for Boundary Layer Flow (x) & Reynolds Number for Boundary Layer Flow (R_e) and hit the calculate button. Here is how the Thickness of Boundary Layer calculation can be explained with given input values -> 0.015423 = (5.48*1.09)/(sqrt(150000)).

FAQ

What is Thickness of Boundary Layer?

The Thickness of boundary layer formula is known while considering the ratio of the distance from the leading edge with a constant value to the Reynolds number at the end of the plate and is represented as 𝛿 = (5.48*x)/(sqrt(R_e)) or Thickness of Boundary Layer = (5.48*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow)). Distance leading edge for boundary layer flow is known as the distance of the leading edge from the plate end & Reynolds Number for boundary layer flow is the ratio of inertial forces to viscous forces within a fluid which is subjected to relative internal movement due to different fluid velocities.

How to calculate Thickness of Boundary Layer?

The Thickness of boundary layer formula is known while considering the ratio of the distance from the leading edge with a constant value to the Reynolds number at the end of the plate is calculated using Thickness of Boundary Layer = (5.48*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow)). To calculate Thickness of Boundary Layer, you need Distance Leading Edge for Boundary Layer Flow (x) & Reynolds Number for Boundary Layer Flow (R_e). With our tool, you need to enter the respective value for Distance Leading Edge for Boundary Layer Flow & Reynolds Number for Boundary Layer Flow 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 Thickness of Boundary Layer?

In this formula, Thickness of Boundary Layer uses Distance Leading Edge for Boundary Layer Flow & Reynolds Number for Boundary Layer Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

Thickness of Boundary Layer = (4.91*Distance Leading Edge for Boundary Layer Flow)/(sqrt(Reynolds Number for Boundary Layer Flow))

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