Distance from leading edge in boundary layer flow 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(Re))/5.48
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, 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(Re))/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 Meter <-- Distance leading edge for boundary layer flow
(Calculation completed in 00.017 seconds)

Credits

Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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Amrita School of Engineering (ASE), Vallikavu
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10+ Boundary Layer Flow Calculators

Viscosity of Liquid for Drag Force on Plate in Boundary Layer Flow

Viscosity of Liquid for Drag Force on Plate in Boundary Layer Flow

Formula
`"μ" = "F"_{"D"}/(0.73*"b"*"V"_{"∞"}*sqrt("R"_{"e"}))`

Example
`"0.000956N*s/m²"="0.03N"/(0.73*"0.74m"*"0.15m/s"*sqrt("1.5E5"))`

Calculator
LaTeX
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 in Boundary Layer Flow

Width of Plate for Drag Force on Plate in Boundary Layer Flow

Formula
`"b" = "F"_{"D"}/(0.73*"μ"*"V"_{"∞"}*sqrt("R"_{"e"}))`

Example
`"0.707394m"="0.03N"/(0.73*"0.001N*s/m²"*"0.15m/s"*sqrt("1.5E5"))`

Calculator
LaTeX
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 in Boundary Layer Flow

Drag Force on Plate in Boundary Layer Flow

Formula
`"F"_{"D"} = 0.73*"b"*"μ"*"V"_{"∞"}*sqrt("R"_{"e"})`

Example
`"0.031383N"=0.73*"0.74m"*"0.001N*s/m²"*"0.15m/s"*sqrt("1.5E5")`

Calculator
LaTeX
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 in Boundary Layer Flow

Reynold number for Drag Force on Plate in Boundary Layer Flow

Formula
`"R"_{"e"} = ("F"_{"D"}/(0.73*"b"*"μ"*"V"_{"∞"}))^2`

Example
`"137072.7"=("0.03N"/(0.73*"0.74m"*"0.001N*s/m²"*"0.15m/s"))^2`

Calculator
LaTeX
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
Velocity of fluid for Reynold number in Laminar Boundary Layer Flow

Velocity of fluid for Reynold number in Laminar Boundary Layer Flow

Formula
`"V"_{"∞"} = ("R"_{"e"}*"μ")/("ρ"_{"Fluid"}*"L")`

Example
`"0.150482m/s"=("1.5E5"*"0.001N*s/m²")/("890kg/m³"*"1.12m")`

Calculator
LaTeX
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 in Laminar Boundary Layer Flow

Length of Plate for Reynold number in Laminar Boundary Layer Flow

Formula
`"L" = ("R"_{"e"}*"μ")/("ρ"_{"Fluid"}*"V"_{"∞"})`

Example
`"1.123596m"=("1.5E5"*"0.001N*s/m²")/("890kg/m³"*"0.15m/s")`

Calculator
LaTeX
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

Reynold number at end of plate

Formula
`"R"_{"e"} = ("ρ"_{"Fluid"}*"V"_{"∞"}*"L")/"μ"`

Example
`"149520"=("890kg/m³"*"0.15m/s"*"1.12m")/"0.001N*s/m²"`

Calculator
LaTeX
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
Thickness of boundary layer in boundary layer flow

Thickness of boundary layer in boundary layer flow

Formula
`"𝛿" = (5.48*"x")/(sqrt("R"_{"e"}))`

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

Calculator
LaTeX
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 in boundary layer flow

Distance from leading edge in boundary layer flow

Formula
`"x" = "𝛿"*(sqrt("R"_{"e"}))/5.48`

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

Calculator
LaTeX
Go Distance leading edge for boundary layer flow = Thickness of Boundary Layer*(sqrt(Reynolds Number for boundary layer flow))/5.48
Coefficient of Drag for Reynold number in Laminar Boundary Layer Flow

Coefficient of Drag for Reynold number in Laminar Boundary Layer Flow

Formula
`"C"_{"D"} = 1.46/sqrt("R"_{"e"})`

Example
`"0.00377"=1.46/sqrt("1.5E5")`

Calculator
LaTeX
Go Coefficient of drag for boundary layer flow = 1.46/sqrt(Reynolds Number for boundary layer flow)

Distance from leading edge in boundary layer flow Formula

Distance leading edge for boundary layer flow = Thickness of Boundary Layer*(sqrt(Reynolds Number for boundary layer flow))/5.48
x = 𝛿*(sqrt(Re))/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 in boundary layer flow?

Distance from leading edge in boundary layer flow 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 in boundary layer flow formula 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 in boundary layer flow using this online calculator? To use this online calculator for Distance from leading edge in boundary layer flow, enter Thickness of Boundary Layer (𝛿) & Reynolds Number for boundary layer flow (Re) and hit the calculate button. Here is how the Distance from leading edge in boundary layer flow calculation can be explained with given input values -> 0.989448 = 0.014*(sqrt(150000))/5.48.

FAQ

What is Distance from leading edge in boundary layer flow?
The Distance from leading edge in boundary layer flow formula 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(Re))/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 in boundary layer flow?
The Distance from leading edge in boundary layer flow formula 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 in boundary layer flow, you need Thickness of Boundary Layer (𝛿) & Reynolds Number for boundary layer flow (Re). 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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