Distance from Leading Edge Calculator

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Boundary Layer Flow

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Turbulent Flow

✖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]			+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%

✖Distance leading edge for boundary layer flow is known as the distance of the leading edge from the plate end.ⓘ Distance from Leading Edge [x]

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Formula

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Distance from Leading Edge

Formula

`"x" = "𝛿"*(sqrt("R"_{"e"}))/5.48`

Example

`"0.989448m"="0.014m"*(sqrt("1.5E5"))/5.48`

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Distance from Leading Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

Thickness of Boundary Layer: 0.014 Meter --> 0.014 Meter No Conversion Required
Reynolds Number for Boundary Layer Flow: 150000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = 𝛿*(sqrt(R_e))/5.48 --> 0.014*(sqrt(150000))/5.48

Evaluating ... ...

x = 0.989448300125982

STEP 3: Convert Result to Output's Unit

0.989448300125982 Meter --> No Conversion Required

FINAL ANSWER

0.989448300125982 ≈ 0.989448 Meter <-- Distance Leading Edge for Boundary Layer Flow

(Calculation completed in 00.004 seconds)

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Created by Maiarutselvan V

PSG College of Technology (PSGCT), Coimbatore

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Amrita School of Engineering (ASE), Vallikavu

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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

Distance from Leading Edge Formula

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

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 Distance from Leading Edge?

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

How to calculate Distance from Leading Edge using this online calculator? To use this online calculator for Distance from Leading Edge, enter Thickness of Boundary Layer (𝛿) & Reynolds Number for Boundary Layer Flow (R_e) and hit the calculate button. Here is how the Distance from Leading Edge calculation can be explained with given input values -> 0.989448 = 0.014*(sqrt(150000))/5.48.

FAQ

What is Distance from Leading Edge?

The Distance from leading edge is known while considering the terms thickness of the boundary layer and the Reynolds number at the end of the plate to a constant value and is represented as x = 𝛿*(sqrt(R_e))/5.48 or Distance Leading Edge for Boundary Layer Flow = Thickness of Boundary Layer*(sqrt(Reynolds Number for Boundary Layer Flow))/5.48. 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 & 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 Distance from Leading Edge?

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

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

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

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