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Freestream Velocity Formula

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The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air. Check FAQs

V ∞ = \frac{μ viscosity}{ε^{2} \cdot ρ ∞ \cdot r nose}

V_∞ - Freestream Velocity?μ_viscosity - Dynamic Viscosity?ε - Emissivity?ρ_∞ - Freestream Density?r_nose - Radius of Nose?

Freestream Velocity Example

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Here is how the Freestream Velocity equation looks like with Values.

Here is how the Freestream Velocity equation looks like with Units.

Here is how the Freestream Velocity equation looks like.

68.1253 = \frac{351}{{0.948}^{2} \cdot 1.17 \cdot 0.49}

68.1253m/s = \frac{351P}{{0.948}^{2} \cdot 1.17kg/m³ \cdot 0.49m}

68.1253 = \frac{351}{{0.948}^{2} \cdot 1.17 \cdot 0.49}

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Freestream Velocity Solution

Follow our step by step solution on how to calculate Freestream Velocity?

FIRST Step Consider the formula

V ∞ = \frac{μ viscosity}{ε^{2} \cdot ρ ∞ \cdot r nose}

Next Step Substitute values of Variables

∴

V ∞ = \frac{351P}{{0.948}^{2} \cdot 1.17kg/m³ \cdot 0.49m}

Next Step Convert Units

∴

V ∞ = \frac{35.1Pa*s}{{0.948}^{2} \cdot 1.17kg/m³ \cdot 0.49m}

Next Step Prepare to Evaluate

∴

V ∞ = \frac{35.1}{{0.948}^{2} \cdot 1.17 \cdot 0.49}

Next Step Evaluate

∴

V ∞ = 68.1253113326728m/s

LAST Step Rounding Answer

∴

V ∞ = 68.1253m/s

Freestream Velocity Formula Elements

Variables

Freestream Velocity

The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

Dynamic Viscosity

The Dynamic Viscosity of a fluid is the measure of its resistance to flow when an external force is applied.

Symbol: μ_viscosity

Measurement: Dynamic ViscosityUnit: P

Note: Value should be greater than 0.

Formulas to find Dynamic Viscosity

Emissivity

Emissivity is the ability of an object to emit infrared energy. Emissivity can have a value from 0 (shiny mirror) to 1.0 (blackbody). Most organic or oxidized surfaces have emissivity close to 0.95.

Symbol: ε

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Emissivity

Freestream Density

Freestream Density is the mass per unit volume of air far upstream of an aerodynamic body at a given altitude.

Symbol: ρ_∞

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Freestream Density

Radius of Nose

Radius of Nose is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length.

Symbol: r_nose

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Nose

How to Evaluate Freestream Velocity?

Freestream Velocity evaluator uses Freestream Velocity = Dynamic Viscosity/(Emissivity^2*Freestream Density*Radius of Nose) to evaluate the Freestream Velocity, The Freestream velocity formula is defined as the dynamic viscosity of the fluid divided by the product of the square of the emissivity, freestream density, and the radius of the nose. Freestream Velocity is denoted by V_∞ symbol.

How to evaluate Freestream Velocity using this online evaluator? To use this online evaluator for Freestream Velocity, enter Dynamic Viscosity (μ_viscosity), Emissivity (ε), Freestream Density (ρ_∞) & Radius of Nose (r_nose) and hit the calculate button.

FAQs on Freestream Velocity

What is the formula to find Freestream Velocity?

The formula of Freestream Velocity is expressed as Freestream Velocity = Dynamic Viscosity/(Emissivity^2*Freestream Density*Radius of Nose). Here is an example- 67.83877 = 35.1/(0.948^2*1.17*0.49).

How to calculate Freestream Velocity?

With Dynamic Viscosity (μ_viscosity), Emissivity (ε), Freestream Density (ρ_∞) & Radius of Nose (r_nose) we can find Freestream Velocity using the formula - Freestream Velocity = Dynamic Viscosity/(Emissivity^2*Freestream Density*Radius of Nose).

Can the Freestream Velocity be negative?

Yes, the Freestream Velocity, measured in Speed can be negative.

Which unit is used to measure Freestream Velocity?

Freestream Velocity 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 can be measured.

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