Reynold Number at End of Plate Calculator

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✖Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid.ⓘ Fluid Density for Boundary Layer Flow [ρ_f]			+10% -10%
✖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.ⓘ Freestream Velocity for Boundary Layer Flow [V_∞]			+10% -10%
✖Length of plate for boundary layer flow is the measurement or extent of plate from end to end.ⓘ Length of Plate for Boundary Layer Flow [L]			+10% -10%
✖Viscosity of Fluid for boundary layer flow is a measure of fluid's resistance to deformation at a given rate.ⓘ Viscosity of Fluid for Boundary Layer Flow [μ]			+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.ⓘ Reynold Number at End of Plate [R_e]

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Formula

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Reynold Number at End of Plate

Formula

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

Example

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

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Reynold Number at End of Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
R_e = (ρ_f*V_∞*L)/μ
This formula uses 5 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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
Length of Plate for Boundary Layer Flow: 1.12 Meter --> 1.12 Meter No Conversion Required
Viscosity of Fluid for Boundary Layer Flow: 0.001 Newton Second per Square Meter --> 0.001 Pascal Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_e = (ρ_f*V_∞*L)/μ --> (890*0.15*1.12)/0.001

Evaluating ... ...

R_e = 149520

STEP 3: Convert Result to Output's Unit

149520 --> No Conversion Required

FINAL ANSWER

149520 <-- Reynolds Number 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

Reynold Number at End of Plate Formula

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 Reynold Number at End of Plate?

Reynold Number at End of Plate calculator uses 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 to calculate the Reynolds Number for Boundary Layer Flow, The Reynold number at end of plate formula is known while considering ratio of density, velocity of fluid, and length of plate to viscosity of fluid. Reynolds Number for Boundary Layer Flow is denoted by R_e symbol.

How to calculate Reynold Number at End of Plate using this online calculator? To use this online calculator for Reynold Number at End of Plate, enter Fluid Density for Boundary Layer Flow (ρ_f), Freestream Velocity for Boundary Layer Flow (V_∞), Length of Plate for Boundary Layer Flow (L) & Viscosity of Fluid for Boundary Layer Flow (μ) and hit the calculate button. Here is how the Reynold Number at End of Plate calculation can be explained with given input values -> 149520 = (890*0.15*1.12)/0.001.

FAQ

What is Reynold Number at End of Plate?

The Reynold number at end of plate formula is known while considering ratio of density, velocity of fluid, and length of plate to viscosity of fluid and is represented as R_e = (ρ_f*V_∞*L)/μ or 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. 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, Length of plate for boundary layer flow is the measurement or extent of plate from end to end & Viscosity of Fluid for boundary layer flow is a measure of fluid's resistance to deformation at a given rate.

How to calculate Reynold Number at End of Plate?

The Reynold number at end of plate formula is known while considering ratio of density, velocity of fluid, and length of plate to viscosity of fluid is calculated using 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. To calculate Reynold Number at End of Plate, you need Fluid Density for Boundary Layer Flow (ρ_f), Freestream Velocity for Boundary Layer Flow (V_∞), Length of Plate for Boundary Layer Flow (L) & Viscosity of Fluid for Boundary Layer Flow (μ). With our tool, you need to enter the respective value for 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 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 Reynolds Number for Boundary Layer Flow?

In this formula, Reynolds Number for Boundary Layer Flow uses 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. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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