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Velocity Induced at Point by Infinite Straight Vortex Filament Formula

GoVelocity Induced at Point by Semi-infinite Straight Vortex Filament Formula

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The Induced Velocity is the change in air velocity due to aerodynamic interaction with an object. Check FAQs

v i = \frac{γ}{2 \cdot π \cdot h}

v_i - Induced Velocity?γ - Vortex Strength?h - Perpendicular Distance to Vortex?π - Archimedes' constant?

Velocity Induced at Point by Infinite Straight Vortex Filament Example

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Here is how the Velocity Induced at Point by Infinite Straight Vortex Filament equation looks like with Values.

Here is how the Velocity Induced at Point by Infinite Straight Vortex Filament equation looks like with Units.

Here is how the Velocity Induced at Point by Infinite Straight Vortex Filament equation looks like.

3.9038 = \frac{13}{2 \cdot 3.1416 \cdot 0.53}

3.9038m/s = \frac{13m²/s}{2 \cdot 3.1416 \cdot 0.53m}

3.9038 = \frac{13}{2 \cdot 3.1416 \cdot 0.53}

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Velocity Induced at Point by Infinite Straight Vortex Filament Solution

Follow our step by step solution on how to calculate Velocity Induced at Point by Infinite Straight Vortex Filament?

FIRST Step Consider the formula

v i = \frac{γ}{2 \cdot π \cdot h}

Next Step Substitute values of Variables

∴

v i = \frac{13m²/s}{2 \cdot π \cdot 0.53m}

Next Step Substitute values of Constants

∴

v i = \frac{13m²/s}{2 \cdot 3.1416 \cdot 0.53m}

Next Step Prepare to Evaluate

∴

v i = \frac{13}{2 \cdot 3.1416 \cdot 0.53}

Next Step Evaluate

∴

v i = 3.90380049093328m/s

LAST Step Rounding Answer

∴

v i = 3.9038m/s

Velocity Induced at Point by Infinite Straight Vortex Filament Formula Elements

Variables

Constants

Induced Velocity

The Induced Velocity is the change in air velocity due to aerodynamic interaction with an object.

Symbol: v_i

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Induced Velocity

Vortex Strength

Vortex Strength is the strength of vortex flow. A vortex is a region within a fluid where the flow revolves around an axis line.

Symbol: γ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Vortex Strength

Perpendicular Distance to Vortex

Perpendicular Distance to Vortex is the perpendicular distance from a point to the vortex filament.

Symbol: h

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Perpendicular Distance to Vortex

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Induced Velocity

Go Velocity Induced at Point by Semi-infinite Straight Vortex Filament

v i = \frac{γ}{4 \cdot π \cdot h}

Other formulas in Induced Drag category

Go Profile Drag Coefficient

c d = \frac{F skin + D p}{q ∞ \cdot S}

Go Induced Drag Coefficient

C D,i = \frac{D i}{q ∞ \cdot S}

Go Total Drag Coefficient for Subsonic Finite Wing

C D = c d + C D,i

Go Induced Drag Coefficient given Total Drag Coefficient

C D,i = C D - c d

How to Evaluate Velocity Induced at Point by Infinite Straight Vortex Filament?

Velocity Induced at Point by Infinite Straight Vortex Filament evaluator uses Induced Velocity = Vortex Strength/(2*pi*Perpendicular Distance to Vortex) to evaluate the Induced Velocity, The Velocity Induced at Point by Infinite Straight Vortex Filament formula calculates the velocity at a point that has been induced due to an infinite straight vortex filament. It describes the velocity field generated by an infinitely long, straight vortex filament, which is an idealized mathematical construct representing a line of concentrated vorticity. Induced Velocity is denoted by v_i symbol.

How to evaluate Velocity Induced at Point by Infinite Straight Vortex Filament using this online evaluator? To use this online evaluator for Velocity Induced at Point by Infinite Straight Vortex Filament, enter Vortex Strength (γ) & Perpendicular Distance to Vortex (h) and hit the calculate button.

FAQs on Velocity Induced at Point by Infinite Straight Vortex Filament

What is the formula to find Velocity Induced at Point by Infinite Straight Vortex Filament?

The formula of Velocity Induced at Point by Infinite Straight Vortex Filament is expressed as Induced Velocity = Vortex Strength/(2*pi*Perpendicular Distance to Vortex). Here is an example- 3.9038 = 13/(2*pi*0.53).

How to calculate Velocity Induced at Point by Infinite Straight Vortex Filament?

With Vortex Strength (γ) & Perpendicular Distance to Vortex (h) we can find Velocity Induced at Point by Infinite Straight Vortex Filament using the formula - Induced Velocity = Vortex Strength/(2*pi*Perpendicular Distance to Vortex). This formula also uses Archimedes' constant .

What are the other ways to Calculate Induced Velocity?

Here are the different ways to Calculate Induced Velocity-

Induced Velocity=Vortex Strength/(4*pi*Perpendicular Distance to Vortex)

Can the Velocity Induced at Point by Infinite Straight Vortex Filament be negative?

No, the Velocity Induced at Point by Infinite Straight Vortex Filament, measured in Speed cannot be negative.

Which unit is used to measure Velocity Induced at Point by Infinite Straight Vortex Filament?

Velocity Induced at Point by Infinite Straight Vortex Filament 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 Velocity Induced at Point by Infinite Straight Vortex Filament can be measured.

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