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Induced Drag Coefficient Formula

GoInduced Drag Coefficient given Total Drag Coefficient Formula

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The Induced Drag Coefficient is a dimensionless parameter that describes a relation between the coefficient of the lift and the aspect ratio. Check FAQs

C D,i = \frac{D i}{q ∞ \cdot S}

C_D,i - Induced Drag Coefficient?D_i - Induced Drag?q_∞ - Free Stream Dynamic Pressure?S - Reference Area?

Induced Drag Coefficient Example

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Here is how the Induced Drag Coefficient equation looks like with Values.

Here is how the Induced Drag Coefficient equation looks like with Units.

Here is how the Induced Drag Coefficient equation looks like.

0.0394 = \frac{101}{450 \cdot 5.7}

0.0394 = \frac{101N}{450Pa \cdot 5.7m²}

0.0394 = \frac{101}{450 \cdot 5.7}

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Induced Drag Coefficient Solution

Follow our step by step solution on how to calculate Induced Drag Coefficient?

FIRST Step Consider the formula

C D,i = \frac{D i}{q ∞ \cdot S}

Next Step Substitute values of Variables

∴

C D,i = \frac{101N}{450Pa \cdot 5.7m²}

Next Step Prepare to Evaluate

∴

C D,i = \frac{101}{450 \cdot 5.7}

Next Step Evaluate

∴

C D,i = 0.0393762183235867

LAST Step Rounding Answer

∴

C D,i = 0.0394

Induced Drag Coefficient Formula Elements

Variables

Induced Drag Coefficient

The Induced Drag Coefficient is a dimensionless parameter that describes a relation between the coefficient of the lift and the aspect ratio.

Symbol: C_D,i

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Induced Drag Coefficient

Induced Drag

Induced Drag is caused by that element of the air deflected downward which is not vertical to the flight path but is tilted slightly rearward from it.

Symbol: D_i

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Induced Drag

Free Stream Dynamic Pressure

Free Stream Dynamic Pressure is the kinetic energy per unit volume of fluid at some distance from the body where the density and velocity are freestream values.

Symbol: q_∞

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Free Stream Dynamic Pressure

Reference Area

The Reference Area is arbitrarily an area that is characteristic of the object being considered. For an aircraft wing, the wing's planform area is called the reference wing area or simply wing area.

Symbol: S

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Reference Area

Other Formulas to find Induced Drag Coefficient

Go Induced Drag Coefficient given Total Drag Coefficient

C D,i = C D - c d

Other formulas in Induced Drag category

Go Profile Drag Coefficient

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

Go Total Drag Coefficient for Subsonic Finite Wing

C D = c d + C D,i

Go Profile Drag Coefficient given Total Drag Coefficient

c d = C D - C D,i

Go Velocity Induced at Point by Infinite Straight Vortex Filament

v i = \frac{γ}{2 \cdot π \cdot h}

How to Evaluate Induced Drag Coefficient?

Induced Drag Coefficient evaluator uses Induced Drag Coefficient = Induced Drag/(Free Stream Dynamic Pressure*Reference Area) to evaluate the Induced Drag Coefficient, The Induced Drag Coefficient formula calculates the coefficient for the induced drag which has been caused due to the element of the air deflected downward which is not vertical to the flight path but is tilted slightly rearward from it. Induced drag results from lift generation by an aerodynamic body, creating vortices at wingtips that induce a downwash, tilting airflow downward and producing drag-opposing motion. Induced Drag Coefficient is denoted by C_D,i symbol.

How to evaluate Induced Drag Coefficient using this online evaluator? To use this online evaluator for Induced Drag Coefficient, enter Induced Drag (D_i), Free Stream Dynamic Pressure (q_∞) & Reference Area (S) and hit the calculate button.

FAQs on Induced Drag Coefficient

What is the formula to find Induced Drag Coefficient?

The formula of Induced Drag Coefficient is expressed as Induced Drag Coefficient = Induced Drag/(Free Stream Dynamic Pressure*Reference Area). Here is an example- 0.044182 = 101/(450*5.7).

How to calculate Induced Drag Coefficient?

With Induced Drag (D_i), Free Stream Dynamic Pressure (q_∞) & Reference Area (S) we can find Induced Drag Coefficient using the formula - Induced Drag Coefficient = Induced Drag/(Free Stream Dynamic Pressure*Reference Area).

What are the other ways to Calculate Induced Drag Coefficient?

Here are the different ways to Calculate Induced Drag Coefficient-

Induced Drag Coefficient=Total Drag Coefficient-Profile Drag Coefficient

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