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Freestream Velocity for Local Drag Coefficient Formula

GoVelocity of Fluid for Reynold Number Formula

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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. Check FAQs

V ∞ = \sqrt{\frac{𝜏}{\frac{1}{2} \cdot ρ f \cdot CD *}}

V_∞ - Freestream Velocity for Boundary Layer Flow?𝜏 - Shear Stress for Boundary Layer Flow?ρ_f - Fluid Density for Boundary Layer Flow?CD^* - Local Drag Coefficient for Boundary Layer?

Freestream Velocity for Local Drag Coefficient Example

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Here is how the Freestream Velocity for Local Drag Coefficient equation looks like with Values.

Here is how the Freestream Velocity for Local Drag Coefficient equation looks like with Units.

Here is how the Freestream Velocity for Local Drag Coefficient equation looks like.

0.151 = \sqrt{\frac{0.068}{\frac{1}{2} \cdot 890 \cdot 0.0067}}

0.151m/s = \sqrt{\frac{0.068N/m²}{\frac{1}{2} \cdot 890kg/m³ \cdot 0.0067}}

0.151 = \sqrt{\frac{0.068}{\frac{1}{2} \cdot 890 \cdot 0.0067}}

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Freestream Velocity for Local Drag Coefficient Solution

Follow our step by step solution on how to calculate Freestream Velocity for Local Drag Coefficient?

FIRST Step Consider the formula

V ∞ = \sqrt{\frac{𝜏}{\frac{1}{2} \cdot ρ f \cdot CD *}}

Next Step Substitute values of Variables

∴

V ∞ = \sqrt{\frac{0.068N/m²}{\frac{1}{2} \cdot 890kg/m³ \cdot 0.0067}}

Next Step Convert Units

∴

V ∞ = \sqrt{\frac{0.068Pa}{\frac{1}{2} \cdot 890kg/m³ \cdot 0.0067}}

Next Step Prepare to Evaluate

∴

V ∞ = \sqrt{\frac{0.068}{\frac{1}{2} \cdot 890 \cdot 0.0067}}

Next Step Evaluate

∴

V ∞ = 0.151020898407563m/s

LAST Step Rounding Answer

∴

V ∞ = 0.151m/s

Freestream Velocity for Local Drag Coefficient Formula Elements

Variables

Functions

Freestream Velocity for Boundary Layer Flow

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.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Freestream Velocity for Boundary Layer Flow

Shear Stress for Boundary Layer Flow

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.

Symbol: 𝜏

Measurement: StressUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Shear Stress for Boundary Layer Flow

Fluid Density for Boundary Layer Flow

Fluid density for boundary layer flow is defined as the mass of fluid per unit volume of the fluid.

Symbol: ρ_f

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Fluid Density for Boundary Layer Flow

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.

Symbol: CD^*

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Local Drag Coefficient for Boundary Layer

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.

Syntax: sqrt(Number)

Other Formulas to find Freestream Velocity for Boundary Layer Flow

Go Velocity of Fluid for Reynold Number

V ∞ = \frac{R e \cdot μ}{ρ f \cdot L}

Other formulas in Boundary Layer Flow category

Go Reynold Number at End of Plate

R e = \frac{ρ f \cdot V ∞ \cdot L}{μ}

Go Length of Plate for Reynold Number

L = \frac{R e \cdot μ}{ρ f \cdot V ∞}

Go Thickness of Boundary Layer

𝛿 = \frac{5.48 \cdot x}{\sqrt{R e}}

Go Distance from Leading Edge

x = 𝛿 \cdot \frac{\sqrt{R e}}{5.48}

How to Evaluate Freestream Velocity for Local Drag Coefficient?

Freestream Velocity for Local Drag Coefficient evaluator 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 evaluate 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 evaluate Freestream Velocity for Local Drag Coefficient using this online evaluator? To use this online evaluator 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.

FAQs on Freestream Velocity for Local Drag Coefficient

What is the formula to find Freestream Velocity for Local Drag Coefficient?

The formula of Freestream Velocity for Local Drag Coefficient is expressed as 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)). Here is an example- 0.151021 = sqrt(0.068/(1/2*890*0.0067)).

How to calculate Freestream Velocity for Local Drag Coefficient?

With Shear Stress for Boundary Layer Flow (𝜏), Fluid Density for Boundary Layer Flow (ρ_f) & Local Drag Coefficient for Boundary Layer (CD^*) we can find Freestream Velocity for Local Drag Coefficient using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Freestream Velocity for Boundary Layer Flow?

Here are the different ways to Calculate Freestream Velocity for Boundary Layer Flow-

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)

Can the Freestream Velocity for Local Drag Coefficient be negative?

No, the Freestream Velocity for Local Drag Coefficient, measured in Speed cannot be negative.

Which unit is used to measure Freestream Velocity for Local Drag Coefficient?

Freestream Velocity for Local Drag Coefficient is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Freestream Velocity for Local Drag Coefficient can be measured.

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Freestream Velocity for Local Drag Coefficient Formula

​GoVelocity of Fluid for Reynold Number Formula

Freestream Velocity for Local Drag Coefficient Example

Freestream Velocity for Local Drag Coefficient Solution

Freestream Velocity for Local Drag Coefficient Formula Elements

Other Formulas to find Freestream Velocity for Boundary Layer Flow

Other formulas in Boundary Layer Flow category

How to Evaluate Freestream Velocity for Local Drag Coefficient?

FAQs on Freestream Velocity for Local Drag Coefficient

Variable Name

GoVelocity of Fluid for Reynold Number Formula