Length of Plate for Reynold number in Laminar Boundary Layer Flow Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
L = (Re*μ)/(ρFluid*V)
This formula uses 5 Variables
Variables Used
Length of plate for boundary layer flow - (Measured in Meter) - Length of plate for boundary layer flow is the measurement or extent of plate from end to 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.
Viscosity of Fluid for boundary layer flow - (Measured in Pascal Second) - Viscosity of Fluid for boundary layer flow is a measure of fluid's resistance to deformation at a given rate.
Fluid density for boundary layer flow - (Measured in Kilogram per Cubic Meter) - Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid.
Freestream velocity for boundary layer flow - (Measured in Meter per Second) - Freestream velocity for boundary layer flow is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down the fluid.
STEP 1: Convert Input(s) to Base Unit
Reynolds Number for boundary layer flow: 150000 --> No Conversion Required
Viscosity of Fluid for boundary layer flow: 0.001 Newton Second per Square Meter --> 0.001 Pascal Second (Check conversion here)
Fluid density for boundary layer flow: 890 Kilogram per Cubic Meter --> 890 Kilogram per Cubic Meter No Conversion Required
Freestream velocity for boundary layer flow: 0.15 Meter per Second --> 0.15 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
L = (Re*μ)/(ρFluid*V) --> (150000*0.001)/(890*0.15)
Evaluating ... ...
L = 1.12359550561798
STEP 3: Convert Result to Output's Unit
1.12359550561798 Meter --> No Conversion Required
FINAL ANSWER
1.12359550561798 Meter <-- Length of plate for boundary layer flow
(Calculation completed in 00.016 seconds)

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Created by Maiarutselvan V
PSG College of Technology (PSGCT), Coimbatore
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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)

Length of Plate for Reynold number in Laminar Boundary Layer Flow Formula

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)
L = (Re*μ)/(ρFluid*V)

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 is boundary layer flow?

A boundary layer flow is defined to be the region of a larger flow field that is next to the surface and has significant effects on wall frictional forces. Since the region of interest is near the surface and the surface is assumed to be impervious to the flow then the velocity is nearly parallel to the surface.

How to Calculate Length of Plate for Reynold number in Laminar Boundary Layer Flow?

Length of Plate for Reynold number in Laminar Boundary Layer Flow calculator uses 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) to calculate the Length of plate for boundary layer flow, The Length of plate for Reynold number in laminar boundary layer flow formula is known while considering the ratio of Reynolds number and the viscosity of the fluid to the density of the liquid and the velocity of the fluid. Length of plate for boundary layer flow is denoted by L symbol.

How to calculate Length of Plate for Reynold number in Laminar Boundary Layer Flow using this online calculator? To use this online calculator for Length of Plate for Reynold number in Laminar Boundary Layer Flow, enter Reynolds Number for boundary layer flow (Re), Viscosity of Fluid for boundary layer flow (μ), Fluid density for boundary layer flow Fluid) & Freestream velocity for boundary layer flow (V) and hit the calculate button. Here is how the Length of Plate for Reynold number in Laminar Boundary Layer Flow calculation can be explained with given input values -> 1.123596 = (150000*0.001)/(890*0.15).

FAQ

What is Length of Plate for Reynold number in Laminar Boundary Layer Flow?
The Length of plate for Reynold number in laminar boundary layer flow formula is known while considering the ratio of Reynolds number and the viscosity of the fluid to the density of the liquid and the velocity of the fluid and is represented as L = (Re*μ)/(ρFluid*V) or 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). 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, Viscosity of Fluid for boundary layer flow is a measure of fluid's resistance to deformation at a given rate, Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid & Freestream velocity for boundary layer flow is the velocity of fluid far upstream of a body, that is before the body has a chance to deflect, slow down the fluid.
How to calculate Length of Plate for Reynold number in Laminar Boundary Layer Flow?
The Length of plate for Reynold number in laminar boundary layer flow formula is known while considering the ratio of Reynolds number and the viscosity of the fluid to the density of the liquid and the velocity of the fluid is calculated using 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). To calculate Length of Plate for Reynold number in Laminar Boundary Layer Flow, you need Reynolds Number for boundary layer flow (Re), Viscosity of Fluid for boundary layer flow (μ), Fluid density for boundary layer flow Fluid) & Freestream velocity for boundary layer flow (V). With our tool, you need to enter the respective value for 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 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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