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

GoVelocity Induced at Point by 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}{4 \cdot π \cdot h}

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

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

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

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

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

1.9519 = \frac{13}{4 \cdot 3.1416 \cdot 0.53}

1.9519m/s = \frac{13m²/s}{4 \cdot 3.1416 \cdot 0.53m}

1.9519 = \frac{13}{4 \cdot 3.1416 \cdot 0.53}

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

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

FIRST Step Consider the formula

v i = \frac{γ}{4 \cdot π \cdot h}

Next Step Substitute values of Variables

∴

v i = \frac{13m²/s}{4 \cdot π \cdot 0.53m}

Next Step Substitute values of Constants

∴

v i = \frac{13m²/s}{4 \cdot 3.1416 \cdot 0.53m}

Next Step Prepare to Evaluate

∴

v i = \frac{13}{4 \cdot 3.1416 \cdot 0.53}

Next Step Evaluate

∴

v i = 1.95190024546664m/s

LAST Step Rounding Answer

∴

v i = 1.9519m/s

Velocity Induced at Point by Semi-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 Infinite Straight Vortex Filament

v i = \frac{γ}{2 \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 Semi-infinite Straight Vortex Filament?

Velocity Induced at Point by Semi-infinite Straight Vortex Filament evaluator uses Induced Velocity = Vortex Strength/(4*pi*Perpendicular Distance to Vortex) to evaluate the Induced Velocity, The Velocity Induced at Point by Semi-infinite Straight Vortex Filament formula calculates the velocity at a point that has been induced due to the semi-infinite straight vortex filament.It describes the velocity field generated by a 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 Semi-infinite Straight Vortex Filament using this online evaluator? To use this online evaluator for Velocity Induced at Point by Semi-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 Semi-infinite Straight Vortex Filament

What is the formula to find Velocity Induced at Point by Semi-infinite Straight Vortex Filament?

The formula of Velocity Induced at Point by Semi-infinite Straight Vortex Filament is expressed as Induced Velocity = Vortex Strength/(4*pi*Perpendicular Distance to Vortex). Here is an example- 1.9519 = 13/(4*pi*0.53).

How to calculate Velocity Induced at Point by Semi-infinite Straight Vortex Filament?

With Vortex Strength (γ) & Perpendicular Distance to Vortex (h) we can find Velocity Induced at Point by Semi-infinite Straight Vortex Filament using the formula - Induced Velocity = Vortex Strength/(4*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/(2*pi*Perpendicular Distance to Vortex)

Can the Velocity Induced at Point by Semi-infinite Straight Vortex Filament be negative?

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

Which unit is used to measure Velocity Induced at Point by Semi-infinite Straight Vortex Filament?

Velocity Induced at Point by Semi-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 Semi-infinite Straight Vortex Filament can be measured.

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