Side note to the wheel wake (which is quite simply the most complex CFD job on the entire car, and still isn't quite done right for some F1 designs- turning wheels and tire deformations are highly comlex),
how about studying the effect of debris in the front wing of a F1 car. We hear it all the time (rubber in the slot gaps). Make a generic three element front wing, see what happens when you start blocking portions of the slot gap. Try different geometries of blockage, rectangular, circular, elliptical etc of the same total area/volume. Then move this geometry around to see what kind of 3D effects this has if it's towards the endplate of the wing or the inner side.
Determine how much downforce is lost based upon the type of blockage and the area. Determine the trend for downforce loss vs blockage area and categorize it by type of geometry, and location. If you still have time afterwards, try to modify the wing configuration to see if you can mitigate the effect with similar downforce but less sensitivity to debris. Justify why this wing geometry change helps do so. If you want, you can also study the drag effect.
This would be an excellent master's project. Plenty of people have done icing studies and contamination effects on wings. I'm not sure of many in academia studying something like this. I'd have done it myself if I didn't get a Masters already
