In reply to chrisfrugill:
Don't know if you do this already, but extending your device (rather than clipping it directly to the harness belay loop) gives you extra friction, because you get closer to a 180 degree bend in the brake strand as it exits the device. Rapping with an extended device also makes it more comfortable to use both hands for braking. Finally, with an extended device, you can (if necessary in mid-rappel) increase friction substantially with the following trick requiring two free carabiners:
Clip Carabiner #1 to the tether loop that holds your belay device, and clip Carabiner #2 to your harness belay loop.
Clip the brake strand through Carabiner #2 and then up to and through Carabiner #1 (and then of course back down to your brake hand). This will give lots more friction.
An advantage of the mid-rappel installation is you can begin the rappel without extra friction, benefiting from the rope weight, and later increase the friction substantially when there is less of an assist from rope weight. A disadvantage is that it can be hard to rig this if your backup prussik is mounted low down on the leg loop (where it shouldn't be anyway with the extended device method). If the prussik is on the harness belay loop, it won't interfere with the rigging steps.
Of course, there are also some more primitive ways to increase friction during the rappel. You can pass the break strand around behind your back and so essentially add a waist belay to the process of creating rappel friction. Or you can take a half-turn of the break strand around your thigh, but this is more painful and more awkward as well.
Once the first person down has noted friction problems, they should provide the support of a "fireman's belay" to subsequent party members.