We do have an indication of size one of the photographs shows it is of about one hand diameter by four long! So 4 – 5 inches diameter by 12 long, approximately.
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Asbestos is recogniseable partly by tiny, sharp, needle-like fibres and it is those that cause the problems if breathed in. So is glass-fibre but the needles are uniform cylinders.
Left alone, and covered, it is unlikely to be a problem but if removed it should be done wet, then carefully wrapped to seal it.
The boiler looks like a sort of hybrid between locomotive and Scotch marine types. In the latter, an internal combustion-chamber acts as return-bend on the end of the fire-box (called a “furnace” on these forms of boiler) with a flue or tubes back to the smokebox and flue above the fire-hole.
On this, the combustion-chamber appears to be external: the large black box on the end of the shell. This also seems to hold a superheater.
“The paperwork”. By whom? Is the boiler commercially or privately built? Either way the 2X wp hydraulic test would be right for the initial shell-test; but not repeat tests. (Use 1.5X w.p. for typically 20 minutes, for those, and at every 4 years for a copper boiler.).
Has the boiler been steamed since then? The one, dark image of the firebox interior suggests not, or only lightly, but it may have used oil or gas rather than coal, despite the grate and ashpan.
Commercial builders might be able to test their own products but must do so in the proper way and traceably. A private builder intending to steam the boiler in public would need it to be in current test – depending where you are that can be done by a model-engineering society but you would need be a member.
If you want to operate it purely privately (and exhibit it only statically) you do not need have it tested and certified as safe; but in that case for your own peace of mind test it yourself to the normal MELG scheme I have quoted from, above.
I should add, also an annual “steam accumulation test” to ensure the correct working of the pressure-gauge, safety-valves and water-feeds.
Much of the silver-brazing visible looks good, but a boiler-inspector may well want all the superstructure removing to inspect it properly on first investigation.
One aspect of the design that worries me a bit is that apart from the superheater necessarily enclosed, some of the boiler fittings are hidden by casings that do not look very readily removeable. That is not itself a boiler-testing matter but is not good practice as the joints can develop leaks so would need attention.
Connections leaking in a hydraulic test prevent maintaining a steady pressure; and you need be able to identify what is happening to be able to account for the pressure-drop. Those side superstructures would hinder such inspection.
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In the end, buying a second-hand boiler of poorly-known provenance is always a gamble – though that is true of any second-hand machine.