The results of your scan will not be available immediately. A computer will need to process the information from your scan, which will then be analysed by a radiologist (a specialist in interpreting images of the body).
After analysing the images, the radiologist will write a report and send it to your specialist or GP. This usually takes a few weeks.
(Original post by Blorcyn)
About 24-48 hours, in general. But it can take up to 5 working days or be even quicker than a day, depending on the circumstances.
EDIT: Post above disagrees with me and it's from the nhs website so I'd go with that. However, the answer above was what I got from my time on a radiotherapy ward.
Inpatient scans (which I imagine would be what your patients are having) or scans whose results are required for clinic appointments are usually given reporting priority over GP-requested scans. A hot trauma/stroke CT head will be reported in under an hour, but a few weeks for a routine GP one is not unusual.
OP, it depends on who is organising your scan - is it your GP or is it a hospital clinic? If it's your GP, you can always call them up to check if the results are in; usually the receptionists will be able to tell you that much, even if they can't tell you the results over the phone. If it's a hospital clinic, they would usually send you an appointment to discuss the results once they're available.