Ground effect factor Calculator

✖Height from Ground is the distance of the wing from the ground.ⓘ Height from Ground [h]			+10% -10%
✖The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.ⓘ Wingspan [b]			+10% -10%

✖Ground effect factor is the ratio of the induced drag in-ground-effect to the induced drag out-of-ground-effect.ⓘ Ground effect factor [ϕ]

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Formula

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Ground effect factor

Formula

ϕ = \frac{{(16 \cdot \frac{h}{b})}^{2}}{1 + {(16 \cdot \frac{h}{b})}^{2}}

Example

0.4796 = \frac{{(16 \cdot \frac{3 m}{50 m})}^{2}}{1 + {(16 \cdot \frac{3 m}{50 m})}^{2}}

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Ground effect factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Ground Effect Factor = ((16*Height from Ground/Wingspan)^2)/(1+(16*Height from Ground/Wingspan)^2)
ϕ = ((16*h/b)^2)/(1+(16*h/b)^2)
This formula uses 3 Variables

Variables Used

Ground Effect Factor - Ground effect factor is the ratio of the induced drag in-ground-effect to the induced drag out-of-ground-effect.
Height from Ground - (Measured in Meter) - Height from Ground is the distance of the wing from the ground.
Wingspan - (Measured in Meter) - The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

STEP 1: Convert Input(s) to Base Unit

Height from Ground: 3 Meter --> 3 Meter No Conversion Required
Wingspan: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϕ = ((16*h/b)^2)/(1+(16*h/b)^2) --> ((16*3/50)^2)/(1+(16*3/50)^2)

Evaluating ... ...

ϕ = 0.479600333055787

STEP 3: Convert Result to Output's Unit

0.479600333055787 --> No Conversion Required

FINAL ANSWER

0.479600333055787 ≈ 0.4796 <-- Ground Effect Factor

(Calculation completed in 00.004 seconds)

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Created by Vinay Mishra

Indian Institute for Aeronautical Engineering and Information Technology (IIAEIT), Pune

Vinay Mishra has created this Calculator and 300+ more calculators!

Verified by Shikha Maurya

Indian Institute of Technology (IIT), Bombay

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< Take Off Calculators

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Ground effect factor Formula

Ground Effect Factor = ((16*Height from Ground/Wingspan)^2)/(1+(16*Height from Ground/Wingspan)^2)
ϕ = ((16*h/b)^2)/(1+(16*h/b)^2)

What is the ground effect in aerodynamics?

For fixed-wing aircraft, the ground effect is the reduced aerodynamic drag that an aircraft's wings generate when they are close to a fixed surface.

How to Calculate Ground effect factor?

Ground effect factor calculator uses Ground Effect Factor = ((16*Height from Ground/Wingspan)^2)/(1+(16*Height from Ground/Wingspan)^2) to calculate the Ground Effect Factor, Ground Effect Factor is a measure of the increased lift and reduced drag experienced by an aircraft or airplane wing when it operates close to the ground, resulting in improved takeoff and landing performance. Ground Effect Factor is denoted by ϕ symbol.

How to calculate Ground effect factor using this online calculator? To use this online calculator for Ground effect factor, enter Height from Ground (h) & Wingspan (b) and hit the calculate button. Here is how the Ground effect factor calculation can be explained with given input values -> 0.4796 = ((16*3/50)^2)/(1+(16*3/50)^2).

FAQ

What is Ground effect factor?

Ground Effect Factor is a measure of the increased lift and reduced drag experienced by an aircraft or airplane wing when it operates close to the ground, resulting in improved takeoff and landing performance and is represented as ϕ = ((16*h/b)^2)/(1+(16*h/b)^2) or Ground Effect Factor = ((16*Height from Ground/Wingspan)^2)/(1+(16*Height from Ground/Wingspan)^2). Height from Ground is the distance of the wing from the ground & The Wingspan (or just span) of a bird or an airplane is the distance from one wingtip to the other wingtip.

How to calculate Ground effect factor?

Ground Effect Factor is a measure of the increased lift and reduced drag experienced by an aircraft or airplane wing when it operates close to the ground, resulting in improved takeoff and landing performance is calculated using Ground Effect Factor = ((16*Height from Ground/Wingspan)^2)/(1+(16*Height from Ground/Wingspan)^2). To calculate Ground effect factor, you need Height from Ground (h) & Wingspan (b). With our tool, you need to enter the respective value for Height from Ground & Wingspan and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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