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Ground Effect Induced Drag Reduction (Wieselsberger) Calculator

When an aircraft or wing-in-ground-effect (WIG) craft flies close to the earth surface or water (height h < wingspan b), the ground boundary suppresses wingtip vortices and reduces downwash.

Height of wing trailing edge above ground or water surface.

Tip-to-tip aircraft wingspan.

Induced drag coefficient out of ground effect.

Calculated Result
0.390

Ground Effect Interference Factor (σ)

Induced Drag Reduction

61.0%

Effective Induced Drag (C_Di,ground)

0.0156

Relative Altitude (h / b)

0.200

Calculation Breakdown

  1. Altitude Ratio: h / b0.200
  2. Wieselsberger: σ = 16(h/b)² / [1 + 16(h/b)²]0.390
  3. C_Di,ground = σ · C_Di,∞0.0156

What Is the Ground Effect Induced Drag Reduction (Wieselsberger) Calculator?

Ground effect is the increase in lift-to-drag ratio experienced by an airfoil operating close to a fixed solid or liquid boundary.

The physical ground blocks the downward development of the trailing vortex wake.

How Does the Ground Effect Induced Drag Reduction (Wieselsberger) Calculator Work?

Calculates height-to-span ratio h / b.

Evaluates the Wieselsberger interference factor sigma between 0 and 1.

Determines the effective ground induced drag coefficient and drag savings percentage.

Ground Effect Induced Drag Reduction (Wieselsberger) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

\sigma = \frac{16(h/b)^2}{1 + 16(h/b)^2}, \quad C_{Di,ground} = \sigma \cdot C_{Di,\infty}, \quad \text{Reduction \%} = (1 - \sigma) \times 100

Wieselsberger image vortex model for ground effect induced drag reduction.

How to Use the Ground Effect Induced Drag Reduction (Wieselsberger) Calculator

  1. Enter the aircraft height above ground and wingspan in meters.
  2. Provide the free-air induced drag coefficient CDi,0.

Step-by-Step Example Calculation

Light Aircraft Landing Flare

Input Values:

heightAboveGroundM:2
wingspanB_M:10
unboundedInducedDragCoeffCdi0:0.04
Worked Steps: Landing flare at 2 m above runway with a 10 m wingspan aircraft.

Understanding Your Result

When h/b = 0.1 (very close to ground), induced drag is slashed by over 50%.

When h/b > 1.0, ground effect is negligible (sigma approaches 1.0).

Factors That Affect the Result

  • Height-to-span ratio (h/b): Ground effect intensity is entirely governed by proximity relative to span, not absolute altitude.
  • Aspect ratio: Low-aspect-ratio wings experience greater proportional benefits from ground effect than high-aspect-ratio gliders.

When Should You Use This Calculator?

  • Designing Wing-in-Ground-Effect (WIG / Ekranoplan) high-speed maritime transport craft.
  • Analyzing landing flare distance, takeoff ground roll, and floating tendencies.

Assumptions & Limitations

  • Assumes planar horizontal ground boundary without surface waves.
  • Assumes steady level flight.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard Wieselsberger (1921) theoretical formulation confirmed by flight test data.

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