Velocity of Fluid for Reynold Number Calculator

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✖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%
✖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%
✖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%
✖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%

✖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.ⓘ Velocity of Fluid for Reynold Number [V_∞]

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Velocity of Fluid for Reynold Number

Formula

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

Example

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

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Velocity of Fluid for Reynold Number Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Length of Plate for Boundary Layer Flow: 1.12 Meter --> 1.12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = (R_e*μ)/(ρ_f*L) --> (150000*0.001)/(890*1.12)

Evaluating ... ...

V_∞ = 0.150481540930979

STEP 3: Convert Result to Output's Unit

0.150481540930979 Meter per Second --> No Conversion Required

FINAL ANSWER

0.150481540930979 ≈ 0.150482 Meter per Second <-- Freestream Velocity for Boundary Layer Flow

(Calculation completed in 00.004 seconds)

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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

Velocity of Fluid for Reynold Number 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 Velocity of Fluid for Reynold Number?

Velocity of Fluid for Reynold Number calculator uses 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) to calculate the Freestream Velocity for Boundary Layer Flow, The Velocity of fluid for Reynold number formula is known while considering the ratio of Reynolds number and the viscosity of the fluid to the density of the liquid and the length of the plate. Freestream Velocity for Boundary Layer Flow is denoted by V_∞ symbol.

How to calculate Velocity of Fluid for Reynold Number using this online calculator? To use this online calculator for Velocity of Fluid for Reynold Number, enter Reynolds Number for Boundary Layer Flow (R_e), Viscosity of Fluid for Boundary Layer Flow (μ), Fluid Density for Boundary Layer Flow (ρ_f) & Length of Plate for Boundary Layer Flow (L) and hit the calculate button. Here is how the Velocity of Fluid for Reynold Number calculation can be explained with given input values -> 0.150482 = (150000*0.001)/(890*1.12).

FAQ

What is Velocity of Fluid for Reynold Number?

The Velocity of fluid for Reynold number formula is known while considering the ratio of Reynolds number and the viscosity of the fluid to the density of the liquid and the length of the plate and is represented as V_∞ = (R_e*μ)/(ρ_f*L) or 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). 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 & Length of plate for boundary layer flow is the measurement or extent of plate from end to end.

How to calculate Velocity of Fluid for Reynold Number?

The Velocity of fluid for Reynold number formula is known while considering the ratio of Reynolds number and the viscosity of the fluid to the density of the liquid and the length of the plate is calculated using 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). To calculate Velocity of Fluid for Reynold Number, you need Reynolds Number for Boundary Layer Flow (R_e), Viscosity of Fluid for Boundary Layer Flow (μ), Fluid Density for Boundary Layer Flow (ρ_f) & Length of Plate for Boundary Layer Flow (L). 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 & Length of Plate 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 Freestream Velocity for Boundary Layer Flow?

In this formula, Freestream Velocity for Boundary Layer Flow uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

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))

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