That looks like a 2 stage centrifugal blower.
Surely for something requiring the pressure of a beam engine (complete with usual friction), you're going to require something with a bit more meat. Either an exhaust driven turbine, or a turbine driven turbine, or the roots blower route. However, roots blowers don't like too much dP.
I wonder there would be any milage modifying the engine to run with a low pressure/controlled internal combustion. This may sound a bit mad, but it would be possible to create a cheap mono-propellant, like n-propyl nitrate and inject it for a controlled, gradual way of creating gas pressure from a liquid. A fair bit of the burn product would be steam, for that authentic look. You could also cool it with a steady stream of water, which would also aid evaporation and lubrication.
I'm sure elf and safety would do a risk assessment and say "this is potential bomb" and say "no".
There are many ways of skinning this particular cat. Since there is no adit connection to Taylor's (so I am told) and there are no shallow levels off, it would not be possible to divert water to operate the pitwork via a set of dams/cisterns.
It would also be possible to use a dedicated oxidising agent and fuel, but the presence of such an oxidising agent would create all sorts of storage problems, if you are a terror paranoid authoritarian.
Off Topic:- There was a chap in the 60's who used n-propyl nitrate to do interesting things with various rocket engines. Proof that civilisation has been going downhill since the 60s!
Have a look at this and imagine you are a HSE chappie.
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