If your practice has the Whiteboards feature (read more about this here), you can move the patient from whiteboard to whiteboard easily!
On the iPad:
In Editing mode of the patient's flow sheet, tap "Edit Info":
Then tap on the whiteboard the patient is currently in (ie Emergency) and choose the department's whiteboard you wish to transfer them to and tap "Done":
The patient will now show up on the new department's whiteboard!
You can view a video of this feature here: