By theory you can use any switching frequency in flyback converter (to an extend). Some frequncies are more often employed than others. So what are those frequencies and what are the possible reasons for them??
Well you might start out with a very rough initial idea of using some particular frequency, a design needs some starting point.
The next ting is to design the magnetics, and this is where it becomes really challenging.
Skin effect limits the wire size, but the wire must be a certain minimum size to carry the rms current.
So you may be forced to use a lower frequency to enable a certain larger wire size to work.
Design flux density comes into it as well. If you use a smaller core, that will require more turns, but more turns may not fit onto the core.
But if you use a higher frequency, it can work with less turns.
A higher frequency might mean higher core loss.
Another aspect is you might need say sixty turns, but only fifty five turns will fit in one layer.
All sorts of compromises in designing the magnetics.
But eventually after many many tries you will come up with a solution where the wire size, the number of turns, the core size and flux density are all practical workable numbers at some particular operating frequency. And that is what you end up using when testing your first prototype flyback transformer.
Many a novice starts out with the operating frequency as the very first design parameter, then finds out that the magnetics simply do not work, or gets too hot, or is very inefficient, or even ridiculously oversized.
All switching power supplies are built around a successful magnetics design, and the operating frequency is just one of many things you need to adjust to get an optimum overall design.