I'm "riding" a Bacchetta Giro with a 26" rear wheel "on" a Kurt Kinetic Road Machine trainer. Obviously, my 650c Corsa would also work as would any bike with 700c wheels.
Kurt Kinetic also sells a "small wheel adapter" to use wheels 24" or smaller.
I've only had the trainer for about a month but it's working out fine for me. The difference between the relative quiet of the trainer's fluid resistance unit and my previous experience with "fan" trainers is huge - I can ride indoors, upstairs on a wooden floor without a rubber mat, with the door and not interfere with people watching TV down a short hallway.
I don't know of any "special knowledge" required for using a recumbent on my trainer.