The downwash distribution along the y-axis for a single horseshoe vortex can be described using potential flow theory. A horseshoe vortex is often used as a simplified model to represent the vortical flow structure generated by the wingtip or wingtip vortex system. In this case, we’ll consider a horseshoe vortex where the vortex elements are placed at the wingtips.Â
- w(y): Downwash velocity at a vertical position y below the wing
- Γ: Circulation of the horseshoe vortex, measured in square meters per second (m^2/s).
- b: Wingspan of the wing, measured in meters (m)
- y:Â Vertical distance below the vortex, measured in meters (m).