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Circulation at Origin given Downwash Formula

GoCirculation at Origin in Elliptical Lift Distribution Formula

GoCirculation at Origin given Induced Angle of Attack Formula

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Circulation at Origin is the circulation when the origin is taken at the center of the bound vortex. Check FAQs

Γ o = - 2 \cdot w \cdot b

Γ_o - Circulation at Origin?w - Downwash?b - Wingspan?

Circulation at Origin given Downwash Example

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Here is how the Circulation at Origin given Downwash equation looks like with Values.

Here is how the Circulation at Origin given Downwash equation looks like with Units.

Here is how the Circulation at Origin given Downwash equation looks like.

14.04 = - 2 \cdot -3 \cdot 2340

14.04m²/s = - 2 \cdot -3m/s \cdot 2340mm

14.04 = - 2 \cdot -3 \cdot 2340

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Circulation at Origin given Downwash Solution

Follow our step by step solution on how to calculate Circulation at Origin given Downwash?

FIRST Step Consider the formula

Γ o = - 2 \cdot w \cdot b

Next Step Substitute values of Variables

∴

Γ o = - 2 \cdot -3m/s \cdot 2340mm

Next Step Convert Units

∴

Γ o = - 2 \cdot -3m/s \cdot 2.34m

Next Step Prepare to Evaluate

∴

Γ o = - 2 \cdot -3 \cdot 2.34

LAST Step Evaluate

∴

Γ o = 14.04m²/s

Circulation at Origin given Downwash Formula Elements

Variables

Circulation at Origin

Circulation at Origin is the circulation when the origin is taken at the center of the bound vortex.

Symbol: Γ_o

Measurement: Momentum DiffusivityUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Circulation at Origin

Downwash

Downwash is the change in direction of air deflected by the aerodynamic action of an airfoil, wing, or helicopter rotor blade in motion, as part of the process of producing lift.

Symbol: w

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Downwash

Wingspan

The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Wingspan

Other Formulas to find Circulation at Origin

Go Circulation at Origin in Elliptical Lift Distribution

Γ o = 2 \cdot V ∞ \cdot S 0 \cdot \frac{C l}{π \cdot b}

Go Circulation at Origin given Induced Angle of Attack

Γ o = 2 \cdot b \cdot α i \cdot V ∞

Go Circulation at Origin given Lift of Wing

Γ o = 4 \cdot \frac{F L}{ρ ∞ \cdot V ∞ \cdot b \cdot π}

Other formulas in Elliptical Lift Distribution category

Go Circulation at given Distance along Wingspan

Γ = Γ o \cdot \sqrt{1 - {(2 \cdot \frac{a}{b})}^{2}}

Go Lift at given Distance along Wingspan

L = ρ ∞ \cdot V ∞ \cdot Γ o \cdot \sqrt{1 - {(2 \cdot \frac{a}{b})}^{2}}

Go Downwash in Elliptical Lift Distribution

w = - \frac{Γ o}{2 \cdot b}

Go Induced Angle of Attack given Aspect Ratio

α i = \frac{C l}{π \cdot AR ELD}

How to Evaluate Circulation at Origin given Downwash?

Circulation at Origin given Downwash evaluator uses Circulation at Origin = -2*Downwash*Wingspan to evaluate the Circulation at Origin, The Circulation at Origin given Downwash formula calculates the circulation which is constant for the elliptical lift distribution when the downwash and the wingspan are given. Circulation at Origin is denoted by Γ_o symbol.

How to evaluate Circulation at Origin given Downwash using this online evaluator? To use this online evaluator for Circulation at Origin given Downwash, enter Downwash (w) & Wingspan (b) and hit the calculate button.

FAQs on Circulation at Origin given Downwash

What is the formula to find Circulation at Origin given Downwash?

The formula of Circulation at Origin given Downwash is expressed as Circulation at Origin = -2*Downwash*Wingspan. Here is an example- 14.04 = -2*(-3)*2.34.

How to calculate Circulation at Origin given Downwash?

With Downwash (w) & Wingspan (b) we can find Circulation at Origin given Downwash using the formula - Circulation at Origin = -2*Downwash*Wingspan.

What are the other ways to Calculate Circulation at Origin?

Here are the different ways to Calculate Circulation at Origin-

Circulation at Origin=2*Freestream Velocity*Reference Area Origin*Lift Coefficient Origin/(pi*Wingspan)
Circulation at Origin=2*Wingspan*Induced Angle of Attack*Freestream Velocity
Circulation at Origin=4*Lift Force/(Freestream Density*Freestream Velocity*Wingspan*pi)

Can the Circulation at Origin given Downwash be negative?

Yes, the Circulation at Origin given Downwash, measured in Momentum Diffusivity can be negative.

Which unit is used to measure Circulation at Origin given Downwash?

Circulation at Origin given Downwash is usually measured using the Square Meter per Second[m²/s] for Momentum Diffusivity. Square Meter per Hour[m²/s], Square Centimeter per Second[m²/s] are the few other units in which Circulation at Origin given Downwash can be measured.

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