
When a vortex layer separates from a solid surface, it becomes a free vortex layer, and a separated vortex layer can roll-up into a volume of concentrated vorticity, called a vortex. These vortices possess a low pressure core, in some sort of balance with the centrifugal 'force' of the fluid elements spiralling around the vortex on helical trajectories. Oriented in a streamwise direction, such vortices can be particularly useful, both for the direct generation of downforce, and to act as air curtains, sealing off other low pressure areas.
Now, the front-wing of a car sees the air first, and therefore sets the conditions for the rest of the car, hence the vortices it generates are particularly important. Streamwise vortices are generated by lateral pressure gradients within the front-wing assembly, and these exist (i) across the endplate, (ii) at the transition between the wing-section and the neutral inner-section dictated by regulation, (iii) at the inner tips of the front-wing flaps, and (iv) at the arched sections in the front-wing.
To keep a vortex alive, one has to maintain the correct ratio between axial (streamwise) velocity, and the azimuthal velocity. If the azimuthal velocity gets too high, or the axial velocity gets too low, the vortex can breakdown.
For obvious reasons of commercial confidentiality, Formula 1 does a poor job at publishing its aerodynamic discoveries. Fortunately, however, there has been some academic research on the vortices generated by the front-wing endplates, conducted by Professor Zhang and colleagues at the University of Southampton. On the basis of wind-tunnel flow visualisation and measurement methods, such as Laser-Doppler Anemometry, Zhang et al (2006) claim that in the case of a simple front-wing, (without a rotating wheel in close proximity), the side-edge vortices possess "a low streamwise speed core...This feature is important as the vortex could break down or dissipate quickly further downstream," (p38, Ground effect aerodynamics of race cars, Applied Mechanics Reviews, Vol 59.).

One also presumes that those extensions were directing the front-wing vortices at a particular region downstream, perhaps the lower edges of the sidepods, both to seal off the low pressure region under the floor, and possibly also to feed the flow which is sucked under the floor in front of the rear wheels, thereby feeding the diffuser side-edge vortices, making one powerful, car-length vortex. One wonders how much such thinking still informs the design philosophy at Red Bull...
2 comments:
Long time reader but as a physicist can you explain this:
"These vortices possess a low pressure core, in some sort of balance with the centrifugal 'force' of the fluid elements spiralling around the vortex on helical trajectories."
Centrifugal or centripetal in this case?
I'd say it's centripetal in reality, hence the inverted commas around 'force'.
However, an advanced text on the subject, Vorticity and Vortex Dynamics, Wu, Ma and Zhou, Springer (2006), states that for a quasicylindrical vortex core, "the centrifugal force is entirely balanced by the radial pressure gradient," but in doing so cites the equation:
v^2/r = (1/rho) (partial p/partial r)
The term on the left is the centripetal acceleration. Although, of course, if you switched to a reference frame rotating with the vortex, then you would indeed introduce a centrifugal 'force' to balance the centripetal.
Post a Comment