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Downwash in Elliptical Lift Distribution Formula

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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. Check FAQs

w = - \frac{Γ o}{2 \cdot b}

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

Downwash in Elliptical Lift Distribution Example

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Here is how the Downwash in Elliptical Lift Distribution equation looks like with Values.

Here is how the Downwash in Elliptical Lift Distribution equation looks like with Units.

Here is how the Downwash in Elliptical Lift Distribution equation looks like.

-2.9915 = - \frac{14}{2 \cdot 2340}

-2.9915m/s = - \frac{14m²/s}{2 \cdot 2340mm}

-2.9915 = - \frac{14}{2 \cdot 2340}

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Downwash in Elliptical Lift Distribution Solution

Follow our step by step solution on how to calculate Downwash in Elliptical Lift Distribution?

FIRST Step Consider the formula

w = - \frac{Γ o}{2 \cdot b}

Next Step Substitute values of Variables

∴

w = - \frac{14m²/s}{2 \cdot 2340mm}

Next Step Convert Units

∴

w = - \frac{14m²/s}{2 \cdot 2.34m}

Next Step Prepare to Evaluate

∴

w = - \frac{14}{2 \cdot 2.34}

Next Step Evaluate

∴

w = -2.99145299145299m/s

LAST Step Rounding Answer

∴

w = -2.9915m/s

Downwash in Elliptical Lift Distribution Formula Elements

Variables

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

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

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 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 Induced Angle of Attack given Aspect Ratio

α i = \frac{C l}{π \cdot AR ELD}

Go Induced Angle of Attack given Circulation at Origin

α i = \frac{Γ o}{2 \cdot b \cdot V ∞}

How to Evaluate Downwash in Elliptical Lift Distribution?

Downwash in Elliptical Lift Distribution evaluator uses Downwash = -Circulation at Origin/(2*Wingspan) to evaluate the Downwash, The Downwash in elliptical lift distribution formula calculates the downwash which is the change in direction of air deflected by the aerodynamic action of an airfoil. Downwash is denoted by w symbol.

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

FAQs on Downwash in Elliptical Lift Distribution

What is the formula to find Downwash in Elliptical Lift Distribution?

The formula of Downwash in Elliptical Lift Distribution is expressed as Downwash = -Circulation at Origin/(2*Wingspan). Here is an example- -2.991453 = -14/(2*2.34).

How to calculate Downwash in Elliptical Lift Distribution?

With Circulation at Origin (Γ_o) & Wingspan (b) we can find Downwash in Elliptical Lift Distribution using the formula - Downwash = -Circulation at Origin/(2*Wingspan).

Can the Downwash in Elliptical Lift Distribution be negative?

Yes, the Downwash in Elliptical Lift Distribution, measured in Speed can be negative.

Which unit is used to measure Downwash in Elliptical Lift Distribution?

Downwash in Elliptical Lift Distribution 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 Downwash in Elliptical Lift Distribution can be measured.

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