Span Efficiency Factor given Induced Drag Coefficient Calculator

✖The Lift Coefficient GLD is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.ⓘ Lift Coefficient GLD [C_L,GLD]			+10% -10%
✖Wing Aspect Ratio GLD is defined as the ratio of the square of wingspan to the wing area or wingspan over wing chord for a rectangular planform.ⓘ Wing Aspect Ratio GLD [AR_GLD]			+10% -10%
✖The Induced Drag Coefficient GLD is a dimensionless parameter that describes a relation between the coefficient of the lift and the aspect ratio.ⓘ Induced Drag Coefficient GLD [C_D,i,GLD]			+10% -10%

✖Span efficiency factor represents the change in drag with lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution.ⓘ Span Efficiency Factor given Induced Drag Coefficient [e_span]

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Span Efficiency Factor given Induced Drag Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)
e_span = C_L,GLD^2/(pi*AR_GLD*C_D,i,GLD)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Span Efficiency Factor - Span efficiency factor represents the change in drag with lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution.
Lift Coefficient GLD - The Lift Coefficient GLD is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area.
Wing Aspect Ratio GLD - Wing Aspect Ratio GLD is defined as the ratio of the square of wingspan to the wing area or wingspan over wing chord for a rectangular planform.
Induced Drag Coefficient GLD - The Induced Drag Coefficient GLD is a dimensionless parameter that describes a relation between the coefficient of the lift and the aspect ratio.

STEP 1: Convert Input(s) to Base Unit

Lift Coefficient GLD: 1.47 --> No Conversion Required
Wing Aspect Ratio GLD: 15 --> No Conversion Required
Induced Drag Coefficient GLD: 0.048 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_span = C_L,GLD^2/(pi*AR_GLD*C_D,i,GLD) --> 1.47^2/(pi*15*0.048)

Evaluating ... ...

e_span = 0.955327545909102

STEP 3: Convert Result to Output's Unit

0.955327545909102 --> No Conversion Required

FINAL ANSWER

0.955327545909102 ≈ 0.955328 <-- Span Efficiency Factor

(Calculation completed in 00.004 seconds)

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< General Lift Distribution Calculators

Lift Coefficient given Span Efficiency Factor

LaTeX Go Lift Coefficient GLD = sqrt(pi*Span Efficiency Factor*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)

Induced Drag Coefficient given Span Efficiency Factor

LaTeX Go Induced Drag Coefficient GLD = Lift Coefficient GLD^2/(pi*Span Efficiency Factor*Wing Aspect Ratio GLD)

Span Efficiency Factor

LaTeX Go Span Efficiency Factor = (1+Induced Drag Factor)^(-1)

Induced Drag Factor given Span Efficiency Factor

LaTeX Go Induced Drag Factor = Span Efficiency Factor^(-1)-1

Span Efficiency Factor given Induced Drag Coefficient Formula

LaTeX Go

Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD)
e_span = C_L,GLD^2/(pi*AR_GLD*C_D,i,GLD)

What is a good span efficiency factor or Oswald efficiency factor?

For conventional fixed-wing aircraft with moderate aspect ratio and sweep, Oswald efficiency number with wing flaps retracted is typically between 0.7 and 0.85. At supersonic speeds, Oswald's efficiency number decreases substantially. For example, at Mach 1.2 Oswald's efficiency number is likely to be between 0.3 and 0.5.

How to Calculate Span Efficiency Factor given Induced Drag Coefficient?

Span Efficiency Factor given Induced Drag Coefficient calculator uses Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD) to calculate the Span Efficiency Factor, The Span efficiency factor given induced drag coefficient formula calculates the span efficiency factor which represents the change in drag with a lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution. Span Efficiency Factor is denoted by e_span symbol.

How to calculate Span Efficiency Factor given Induced Drag Coefficient using this online calculator? To use this online calculator for Span Efficiency Factor given Induced Drag Coefficient, enter Lift Coefficient GLD (C_L,GLD), Wing Aspect Ratio GLD (AR_GLD) & Induced Drag Coefficient GLD (C_D,i,GLD) and hit the calculate button. Here is how the Span Efficiency Factor given Induced Drag Coefficient calculation can be explained with given input values -> 1.146393 = 1.47^2/(pi*15*0.048).

FAQ

What is Span Efficiency Factor given Induced Drag Coefficient?

The Span efficiency factor given induced drag coefficient formula calculates the span efficiency factor which represents the change in drag with a lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution and is represented as e_span = C_L,GLD^2/(pi*AR_GLD*C_D,i,GLD) or Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD). The Lift Coefficient GLD is a dimensionless coefficient that relates the lift generated by a lifting body to the fluid density around the body, the fluid velocity and an associated reference area, Wing Aspect Ratio GLD is defined as the ratio of the square of wingspan to the wing area or wingspan over wing chord for a rectangular planform & The Induced Drag Coefficient GLD is a dimensionless parameter that describes a relation between the coefficient of the lift and the aspect ratio.

How to calculate Span Efficiency Factor given Induced Drag Coefficient?

The Span efficiency factor given induced drag coefficient formula calculates the span efficiency factor which represents the change in drag with a lift of a three-dimensional wing or airplane, as compared with an ideal wing having the same aspect ratio and an elliptical lift distribution is calculated using Span Efficiency Factor = Lift Coefficient GLD^2/(pi*Wing Aspect Ratio GLD*Induced Drag Coefficient GLD). To calculate Span Efficiency Factor given Induced Drag Coefficient, you need Lift Coefficient GLD (C_L,GLD), Wing Aspect Ratio GLD (AR_GLD) & Induced Drag Coefficient GLD (C_D,i,GLD). With our tool, you need to enter the respective value for Lift Coefficient GLD, Wing Aspect Ratio GLD & Induced Drag Coefficient GLD and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Span Efficiency Factor?

In this formula, Span Efficiency Factor uses Lift Coefficient GLD, Wing Aspect Ratio GLD & Induced Drag Coefficient GLD. We can use 1 other way(s) to calculate the same, which is/are as follows -

Span Efficiency Factor = (1+Induced Drag Factor)^(-1)

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