1. HORSE SHOE
VORTEX
A SIMPLE PRESENTATION

2. WHAT IS HORSE SHOE VORTEX?
The horseshoe vortex model is a simplified representation
of the vortex system of a wing. In this model the wing
vorticity is modelled by a bound vortex of constant
circulation, travelling with the wing, and two trailing
wingtip vortices, therefore having a shape vaguely
reminiscent of a horseshoe

3. STARTING VORTEX
• A starting vortex is shed as the wing begins to move
through the fluid, which dissipates under the action of
viscosity, as do the trailing vortices far behind the aircraft

4. WING TIP VORTEX
•The trailing wingtip vortices are responsible
for the component of the downwash which
creates induced drag

5. HORSE SHOE VORTEX MODEL
• The horseshoe vortex model is unrealistic in that it
implies uniform circulation (and hence, according to the
Kutta–Joukowski theorem, uniform lift) at all sections on
the wingspan.

6. HORSE SHOE VORTEX MODEL

7. HORSE SHOE VORTEX MODEL

8. HORSE SHOE VORTEX MODEL

9. HORSE SHOE VORTEX-REALISTIC
MODEL
• In a more realistic model, the lifting-line theory, the vortex
strength varies along the wingspan, and the loss in vortex strength
is shed as a vortex sheet all along the trailing edge, rather than as a
single trail at the wing-tips. Nevertheless, the simpler horseshoe
vortex model used with a reduced effective wingspan but same
mid-plane circulation provides an adequate model for the flows
induced far from the aircraft

10. TERM-HORSE SHOE VORTEX
• The term horseshoe vortex is also used in wind engineering to
describe the flow pattern created by strong winds around the base
of a tall building. This effect is amplified by the presence of a
low-rise building just upwind. This effect was studied at the UK
Building Research Establishment between 1963 and 1973 and the
cause of the effect is described in contemporary wind engineering
text books

11. IN HYDRODYNAMICS
• In hydrodynamics, a form of horseshoe vortex forms
around bluff bodies in the flowing water, for instance
around bridge piers.They can cause scouring of bed
materials from both upstream and downstream of the
pier.

12. HORSE SHOE VORTEX-IN NATURE
•In nature, a horseshoe vortex can cause a
horseshoe cloud to form.

13. IN NATURE

14. HS-VORTEX FLOW VISUALISATION

15. THANK YOU