Freestream Velocity for Local Drag Coefficient Calculator

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✖Shear stress for boundary layer flow is force tending to cause deformation of the fluid by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress for Boundary Layer Flow [𝜏]			+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%
✖The Local Drag Coefficient for Boundary Layer Flow is a ratio of wall shear stress at any distance x from the leading edge to dynamic pressure.ⓘ Local Drag Coefficient for Boundary Layer [CD^*]			+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 Local Drag Coefficient [V_∞]

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Freestream Velocity for Local Drag Coefficient

Formula

`"V"_{"∞"} = sqrt("𝜏"/(1/2*"ρ"_{"f"}*"CD"^{"*"}))`

Example

`"0.151021m/s"=sqrt("0.068N/m²"/(1/2*"890kg/m³"*"0.0067"))`

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Freestream Velocity for Local Drag Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
V_∞ = sqrt(𝜏/(1/2*ρ_f*CD^*))
This formula uses 1 Functions, 4 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

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.
Shear Stress for Boundary Layer Flow - (Measured in Pascal) - Shear stress for boundary layer flow is force tending to cause deformation of the fluid by slippage along a plane or planes parallel to the imposed stress.
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.
Local Drag Coefficient for Boundary Layer - The Local Drag Coefficient for Boundary Layer Flow is a ratio of wall shear stress at any distance x from the leading edge to dynamic pressure.

STEP 1: Convert Input(s) to Base Unit

Shear Stress for Boundary Layer Flow: 0.068 Newton per Square Meter --> 0.068 Pascal (Check conversion here)
Fluid Density for Boundary Layer Flow: 890 Kilogram per Cubic Meter --> 890 Kilogram per Cubic Meter No Conversion Required
Local Drag Coefficient for Boundary Layer: 0.0067 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_∞ = sqrt(𝜏/(1/2*ρ_f*CD^*)) --> sqrt(0.068/(1/2*890*0.0067))

Evaluating ... ...

V_∞ = 0.151020898407563

STEP 3: Convert Result to Output's Unit

0.151020898407563 Meter per Second --> No Conversion Required

FINAL ANSWER

0.151020898407563 ≈ 0.151021 Meter per Second <-- Freestream Velocity 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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Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

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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

Freestream Velocity for Local Drag Coefficient Formula

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 drag is created in boundary layer?

In most situations, it is inevitable that the boundary layer becomes detached from a solid body. This boundary layer separation results in a large increase in the drag on the body.

How to Calculate Freestream Velocity for Local Drag Coefficient?

Freestream Velocity for Local Drag Coefficient calculator uses 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)) to calculate the Freestream Velocity for Boundary Layer Flow, The Freestream velocity for local drag coefficient is known while considering the square root of shear stress to half the density of the fluid, and the local coefficient of drag. Freestream Velocity for Boundary Layer Flow is denoted by V_∞ symbol.

How to calculate Freestream Velocity for Local Drag Coefficient using this online calculator? To use this online calculator for Freestream Velocity for Local Drag Coefficient, enter Shear Stress for Boundary Layer Flow (𝜏), Fluid Density for Boundary Layer Flow (ρ_f) & Local Drag Coefficient for Boundary Layer (CD^*) and hit the calculate button. Here is how the Freestream Velocity for Local Drag Coefficient calculation can be explained with given input values -> 0.151021 = sqrt(0.068/(1/2*890*0.0067)).

FAQ

What is Freestream Velocity for Local Drag Coefficient?

The Freestream velocity for local drag coefficient is known while considering the square root of shear stress to half the density of the fluid, and the local coefficient of drag and is represented as V_∞ = sqrt(𝜏/(1/2*ρ_f*CD^*)) or 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)). Shear stress for boundary layer flow is force tending to cause deformation of the fluid by slippage along a plane or planes parallel to the imposed stress, Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid & The Local Drag Coefficient for Boundary Layer Flow is a ratio of wall shear stress at any distance x from the leading edge to dynamic pressure.

How to calculate Freestream Velocity for Local Drag Coefficient?

The Freestream velocity for local drag coefficient is known while considering the square root of shear stress to half the density of the fluid, and the local coefficient of drag is calculated using 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)). To calculate Freestream Velocity for Local Drag Coefficient, you need Shear Stress for Boundary Layer Flow (𝜏), Fluid Density for Boundary Layer Flow (ρ_f) & Local Drag Coefficient for Boundary Layer (CD^*). With our tool, you need to enter the respective value for Shear Stress for Boundary Layer Flow, Fluid Density for Boundary Layer Flow & Local Drag Coefficient for Boundary Layer 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 Shear Stress for Boundary Layer Flow, Fluid Density for Boundary Layer Flow & Local Drag Coefficient for Boundary Layer. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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