If it was just a one-off job, then superglue, cerobend, etc, would certainly get the job done. My issue though is that I want to make a tool that can be used for many years to come to work through a whole batch of tubes, and not have to worry about cleaning off every last bit of superglue etc from inside the bore.
I really like the idea of this O ring mandrel as suggested by KWIL and expanded upon by Clive – it doesn't sound like it would be very difficult to make, and with centres in both ends it would be easy to set it up to machine a batch of tube.
I am understanding this right? I'm picturing a series of 8 or so 19mm OD O rings on a shaft, with 19mm spacers either side. The tube is slid over this assembly, and then all the spacers are nipped up by means of a nut at one end. This ought to expand all the O rings slightly to the point where they grip the tube firmly from the inside. Loosen the nut, slide the tube off, slide the next tube on, tighten the nut again… and repeat. Sounds to me like that will work very nicely indeed.